Modules in IMSL Math Library

Computer Methods in Chemical Engineering

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(Posted locally for access speed)

Chapters in the IMSL library MATH/LIBRARY.

Chapter 1 : Linear Systems
Chapter 2 : Eigensystem Analysis
Chapter 3 : Interpolation and Approximation
Chapter 4 : Integration and Differentiation
Chapter 5 : Differential Equations
Chapter 6 : Transforms
Chapter 7 : Nonlinear Equations
Chapter 8 : Optimization
Chapter 9 : Basic Matrix/Vector Operations
Chapter 10: Utilities

Chapters in the IMSL library STAT/LIBRARY.

Chapter 1 : Basic Statistics
Chapter 2 : Regression
Chapter 3 : Correlation
Chapter 4 : Analysis of Variance
Chapter 5 : Categorical and Discrete Data Analysis
Chapter 6 : Nonparametric Statistics
Chapter 7 : Tests of Goodness of Fit and Randomness
Chapter 8 : Time Series Analysis and Forecasting
Chapter 9 : Covariance Structures and Factor Analysis
Chapter 10: Discriminant Analysis
Chapter 11: Cluster Analysis
Chapter 12: Sampling
Chapter 13: Survival Analysis, Life Testing and Reliability
Chapter 14: Multidimensional Scaling
Chapter 15: Density and Hazard Estimation
Chapter 16: Line Printer Graphics
Chapter 17: Probability Distribution Function and Inverses
Chapter 18: Random Number Generation
Chapter 19: Utilities
Chapter 20: Mathematical Support

Chapters in the IMSL library SFUN/LIBRARY.

Chapter 1: Description of the Routines
- 1.1 Elementary Functions
- 1.2 Trigonometric and Hyperbolic Functions
- 1.3 Exponential Integrals and Related Functions
- 1.4 Gamma Function and Related Functions
- 1.5 Error Function and Related Functions
- 1.6 Bessel Functions
- 1.7 Kelvin Functions
- 1.8 Bessel Functions of Fractional Order
- 1.9 Elliptic Integrals
- 1.10 Weierstrass Elliptic and Related Functions
- 1.11 Probability Distribution Functions and Inverses
- 1.12 Miscellaneous Functions
Chapter 2: Legal Argument Ranges and Notes (Not available online.)

Modules in IMSLM

ACBCB Add two complex band matrices, both in band storage mode.
ACHAR Return the character whose ASCII value is the input integer argument.
ACOSH (DACOSH) Arccosh(x).
AI (DAI) Airy function Ai(x).
AID (DAID) Derivative of the Airy function Ai(x).
AIDE (DAIDE) Exponentially scaled derivative of the Airy function exp(x)dAi(x)/dx.
AIE (DAIE) Exponentially scaled Airy function exp(x)Ai(x).
AKEI0 (DKEI0) Kelvin function kei0(x).
AKEI1 (DKEI1) Kelvin function kei1(x).
AKEIP0 (DKEIP0) Derivative of the Kelvin function kei0(x).
AKER0 (DKER0) Kelvin function ker0(x).
AKER1 (DKER1) Kelvin function ker1(x).
AKERP0 (DKERP0) Derivative of the Kelvin function ker0(x).
ALBETA (DLBETA) Logarithm of the complete beta function for positive arguments.
ALGAMS (DLGAMS) Ln(abs(gamma(x))) and sign(gamma(x)).
ALI (DLI) Logarithmic integral, integral from 0 to x of 1/ln(t).
ALNGAM (DLNGAM) Ln(abs(gamma(x))).
ALNREL (DLNREL) Ln(1+x).
AMACH (DMACH) Retrieve single-precision machine constants.
ARBRB (DARBRB) Add two band matrices, both in band storage mode.
ASINH (DASINH) Arcsinh(x).
ATANH (DATANH) Arctanh(x).
BCLSF (DBCLSF) Solve a nonlinear least squares problem subject to bounds on the variables using ...
BCLSJ (DBCLSJ) Solve a nonlinear least squares problem subject to bounds on the variables using ...
BCOAH (DBCOAH) Minimize a function of N variables subject to bounds on the variables using a mo ...
BCODH (DBCODH) Minimize a function of N variables subject to bounds on the variables using a mo ...
BCONF (DBCONF) Minimize a function of N variables subject to bounds on the variables using a qu ...
BCONG (DBCONG) Minimize a function of N variables subject to bounds on the variables using a qu ...
BCPOL (DBCPOL) Minimize a function of N variables subject to bounds on the variables using a di ...
BEI0 (DBEI0) Kelvin function bei0(x).
BEI1 (DBEI1) Kelvin function bei1(x).
BEIP0 (DBEIP0) Derivative of the Kelvin function bei0(x).
BER0 (DBER0) Kelvin function ber0(x).
BER1 (DBER1) Kelvin function ber1(x).
BERP0 (DBERP0) Derivative of the Kelvin function ber0(x).
BETAI (DBETAI) Incomplete beta function.
BI (DBI) Airy function Bi(x).
BID (DBID) Derivative of the Airy function Bi(x).
BIDE (DBIDE) Exponentially scaled derivative of the Airy function exp(-x)dBi(x)/dx.
BIE (DBIE) Exponentially scaled Airy function exp(-x)Bi(x).
BLINF (DBLINF) Compute the bilinear mode transpose(x)*A*y.
BS1GD (DBS1GD) Evaluate the derivative of a spline on a grid, given its B-spline representation ...
BS2DR (DBS2DR) Evaluate the derivative of a two-dimensional tensor-product spline, given its te ...
BS2GD (DBS2GD) Evaluate the derivative of a two-dimensional tensor-product spline, given its te ...
BS2IG (DBS2IG) Evaluate the integral of a tensor-product spline on a rectangular domain, given ...
BS2IN (DBS2IN) Compute a two-dimensional tensor-product spline interpolant, returning the tenso ...
BS2VL (DBS2VL) Evaluate a two-dimensional tensor-product spline, given its tensor-product B-spl ...
BS3DR (DBS3DR) Evaluate the derivative of a three-dimensional tensor-product spline, given its ...
BS3GD (DBS3GD) Evaluate the derivative of a three-dimensional tensor-product spline, given its ...
BS3IG (DBS3IG) Evaluate the integral of a tensor-product spline in three dimensions over a thre ...
BS3IN (DBS3IN) Compute a three-dimensional tensor-product spline interpolant, returning the ten ...
BS3VL (DBS3VL) Evaluate a three-dimensional tensor-product spline, given its tensor-product B-s ...
BSCPP (DBSCPP) Convert a spline in B-spline representation to piecewise polynomial representati ...
BSDER (DBSDER) Evaluate the derivative of a spline, given its B-spline representation.
BSI0 (DBSI0) Modified Bessel function I0(x).
BSI0E (DBSI0E) Exponentially scaled modified Bessel function exp(-x)I0(x).
BSI1 (DBSI1) Modified Bessel function I1(x).
BSI1E (DBSI1E) Exponentially scaled modified Bessel function exp(-x)I1(x).
BSIES (DBSIES) Sequence of exponentially scaled modified Bessel functions exp(-x)Ir(x), for r r ...
BSINS (DBSINS) Sequence of modified Bessel functions In(x).
BSINT (DBSINT) Compute the spline interpolant, returning the B-spline coefficients.
BSIS (DBSIS) Sequence of modified Bessel functions Ir(x), for r nonnegative real and x positi ...
BSITG (DBSITG) Evaluate the integral of a spline, given its B-spline representation.
BSJ0 (DBSJ0) Bessel function J0(x).
BSJ1 (DBSJ1) Bessel function J1(x).
BSJNS (DBSJNS) Sequence of Bessel functions Jn(x).
BSJS (DBSJS) Sequence of Bessel functions Jr(x), for r real and positive.
BSK0 (DBSK0) Bessel function K0(x).
BSK0E (DBSK0E) Exponentially scaled modified Bessel function exp(x)K0(x).
BSK1 (DBSK1) Bessel function K1(x).
BSK1E (DBSK1E) Exponentially scaled modified Bessel function exp(x)K1(x).
BSKES (DBSKES) Sequence of exponentially scaled modified Bessel functions exp(x)Kr(x), for real ...
BSKS (DBSKS) Sequence of modified Bessel functions Kr(x), for real r.
BSLS2 (DBSLS2) Compute a two-dimensional tensor-product spline approximant using least squares, ...
BSLS3 (DBSLS3) Compute a three-dimensional tensor-product spline approximant using least square ...
BSLSQ (DBSLSQ) Compute a B-spline least squares spline approximation to given data.
BSNAK (DBSNAK) Compute the not-a-knot spline knot sequence.
BSOPK (DBSOPK) Compute the optimal spline knot sequence.
BSVAL (DBSVAL) Evaluate a spline, given its B-spline representation.
BSVLS (DBSVLS) Compute the variable knot B-spline least squares approximation to given data.
BSY0 (DBSY0) Bessel function Y0(x).
BSY1 (DBSY1) Bessel function Y1(x).
BSYS (DBSYS) Sequence of Bessel functions Yr(x), for real nonnegative r and positive x.
BVPFD (DBVPFD) Solve a system of differential equations with boundary conditions at two points, ...
BVPMS (DBVPMS) Solve a system of differential equations with boundary conditions at two points, ...
CACOS Arccos(z).
CACOSH Arccosh(z).
CADD Add a scalar to each component of a vector, x = x + a, all complex.
CARG Argument of a complex number.
CASIN Arcsin(z).
CASINH Arcsinh(z).
CATAN Arctan(z).
CATAN2 Arctan(z1/z2).
CATANH Arctanh(z).
CAXPY Compute a scalar times a vector plus a vector, y = ax + y, all complex.
CBETA Complex complete beta function.
CBINS Sequence of modified Bessel functions In(z).
CBIS (DCBIS) Evaluate a sequence of Modified Bessel functions of the first kind with real ord ...
CBJNS Sequence of Bessel functions Jn(z).
CBJS (DCBJS) Evaluate a sequence of Bessel functions of the first kind with real order and co ...
CBKS (DCBKS) Evaluate a sequence of Modified Bessel functions of the second kind with real or ...
CBRT (DCBRT) Cube root of a real argument.
CBYS (DCBYS) Evaluate a sequence of Bessel functions of the second kind with real order and c ...
CCBCB Copy a complex band matrix stored in complex band storage mode.
CCBCG Convert a complex matrix in band storage mode to a complex matrix in full storag ...
CCBRT Cube root of a complex argument.
CCGCB Convert a complex matrix in full storage mode to a matrix in complex band storag ...
CCGCG Copy a complex general matrix.
CCONV (DCCONV) Compute the convolution of two complex vectors.
CCOPY Copy a vector X to a vector Y, both complex.
CCORL (DCCORL) Compute the correlation of two complex vectors.
CCOSH Cosh(z).
CCOT Cotan(z).
CDGRD (DCDGRD) Approximate the gradient using central differences.
CDOTC Compute the complex conjugate dot product, conjg(x)*y.
CDOTU Compute the complex dot product x*y.
CEJCN (DCEJCN) Evaluate the complex Jacobi elliptic function cn(z,m).
CEJDN (DCEJDN) Evaluate the complex Jacobi elliptic function dn(z,m).
CEJSN (DCEJSN) Evaluate the complex Jacobi elliptic function sn(z,m).
CERFE Complex scaled complementary error function.
CEXPRL (exp(z)-1)/z.
CGAMMA Complex gamma function.
CGAMR 1/gamma(z).
CGBMV (ZGBMV) Perform one of the matrix-vector operations: y = alpha*A*x + beta*y, y = alpha*t ...
CGEMM (ZGEMM) Perform one of the following matrix-matrix multiplications: C=alpha*A*B + beta*C ...
CGEMV (ZGEMV) Perform one of the matrix-vector multiplications: y = alpha*A*x + beta*y y = alp ...
CGERC (ZGERC) Perform the rank-one matrix update: A = A + alpha*x*ctrans(y), where ctrans(y) i ...
CGERU (ZGERU) Perform the rank-one matrix update: A = A + alpha*x*trans(y), where trans(y) is ...
CHBCB Copy a complex Hermitian band matrix stored in band Hermitian storage mode to a ...
CHBMV (ZHBMV) Perform the matrix-vector operation y = alpha*A*x + beta*y, where A is a Hermiti ...
CHEMM (ZHEMM) Performs one of the matrix-matrix operations: C = alpha*A*B + beta*C, or C = alp ...
CHEMV (ZHEMV) Perform the matrix-vector multiplication y = alpha*A*x + beta*y, where A is a He ...
CHER (ZHER) Perform the rank-one matrix update A = A + alpha*x*ctrans(x) to the Hermitian ma ...
CHER2 (ZHER2) Perform a rank-two matrix update to the Hermitian matrix A, A = A + alpha*x*ctra ...
CHER2K (ZHER2K) Performs one of the Hermitian rank 2k operations C = alpha*A*ctrans( B ) + conjg ...
CHERK (ZHERK) Performs one of the Hermitian rank k operations C = alpha*A*ctrans( A ) + beta*C ...
CHFCG Extend a complex Hermitian matrix defined in its upper triangle to its lower tri ...
CHGRD (DCHGRD) Check a user-supplied gradient of a function.
CHHES (DCHHES) Check a user-supplied Hessian of an analytic function.
CHI (DCHI) Hyperbolic cosine integral.
CHJAC (DCHJAC) Check a user-supplied Jacobian of a system of equations with M functions in N un ...
CI (DCI) Cosine integral.
CIN (DCIN) Evaluate a function closely related to the cosine integral.
CINH (DCINH) Evaluate a function closely related to the hyperbolic cosine integral.
CLBETA Complex logarithm of the complete beta function.
CLNGAM Ln(gamma(z)).
CLNREL Ln(1+z).
CLOG10 Log(z).
CONFT (DCONFT) Compute the least-squares constrained spline approximation, returning the B-spli ...
CONST (DCONST) Various mathematical and physical constants.
COSDG (DCOSDG) Cos(x), x in degrees.
COT (DCOT) Cotan(x).
CPSEC Return CPU time used in seconds.
CPSI Logarithmic derivative of the gamma function for a complex argument.
CRBCB Convert a real matrix in band storage mode to a complex matrix in band storage m ...
CRBRB (DCRBRB) Copy a real band matrix stored in band storage mode.
CRBRG (DCRBRG) Convert a real matrix in band storage mode to a matrix in full storage mode.
CRGCG Copy a real general matrix to a complex general matrix.
CRGRB (DCRGRB) Convert a real matrix in full storage mode to a matrix in band storage mode.
CRGRG (DCRGRG) Copy a real general matrix.
CRRCR Copy a real rectangular matrix to a complex rectangular matrix.
CS1GD (DCS1GD) Evaluate the derivative of a cubic spline on a grid.
CSAKM (DCSAKM) Compute the Akima cubic spline interpolant.
CSBRB (DCSBRB) Copy a real symmetric band matrix stored in band symmetric storage mode to a rea ...
CSCAL Multiply a vector by a scalar, y = ay, both complex.
CSCON (DCSCON) Compute a cubic spline interpolant which is consistent with the concavity of the ...
CSDEC (DCSDEC) Compute the cubic spline interpolant with specified derivative endpoint conditio ...
CSDER (DCSDER) Evaluate the derivative of a cubic spline.
CSET Set the components of a vector to a scalar, all complex.
CSEVL Evaluate a series of Chebyshev polynomials.
CSFRG (DCSFRG) Extend a real symmetric matrix defined in its upper triangle to its lower triang ...
CSHER (DCSHER) Compute a Hermite cubic spline interpolant.
CSIEZ (DCSIEZ) Compute the cubic spline interpolant with the `not-a-knot' condition and return ...
CSINH Sinh(z).
CSINT (DCSINT) Compute the cubic spline interpolant with the 'not-a-knot' condition.
CSITG (DCSITG) Evaluate the integral of a cubic spline.
CSPER (DCSPER) Compute the cubic spline interpolant with periodic boundary conditions.
CSROT Apply a complex Givens plane rotation.
CSROTM Apply a complex modified Givens plane rotation.
CSSCAL Multiply a complex vector by a single-precision scalar, y = ay.
CSSCV (DCSSCV) Compute a smooth cubic spline approximation to noisy data using cross-validation ...
CSSED (DCSSED) Smooth one-dimensional data by error detection.
CSSMH (DCSSMH) Compute a smooth cubic spline approximation to noisy data.
CSUB Subtract each component of a vector from a scalar, x = a - x, all complex.
CSVAL (DCSVAL) Evaluate a cubic spline.
CSVCAL Multiply a complex vector by a single-precision scalar and store the result in a ...
CSWAP Interchange vectors X and Y, both complex.
CSYMM (ZSYMM) Performs one of the matrix-matrix operations: C = alpha*A*B + beta*C, or C = alp ...
CSYR2K (ZSYR2K) Performs one of the symmetric rank 2k operations C = alpha*A*trans(B) + alpha*B* ...
CSYRK (ZSYRK) Performs one of the symmetric rank k operations C = alpha*A*trans(A) + beta*C, o ...
CTAN Tan(z).
CTANH Tanh(z).
CTBMV (ZTBMV) Perform one of the matrix-vector operations: x = A*x, x = trans(A)*x, x = ctrans ...
CTBSV (ZTBSV) Solve one of the triangular systems, x = inv(A)*x, x = inv(trans(A))*x, x = inv( ...
CTRMM (ZTRMM) Performs one of the matrix-matrix operations: B = alpha*op( A )*B, or B = alpha* ...
CTRMV (ZTRMV) Perform one of the matrix-vector operations: x = A*x, x = trans(A)*x, or x = ctr ...
CTRSM (ZTRSM) Solves one of the matrix equations: op( A )*X = alpha*B, or X*op( A ) = alpha*B, ...
CTRSV (ZTRSV) Solve one of the triangular systems, x = inv(A)*x, x = inv(trans(A))*x, or x = i ...
CUNIT (DCUNIT) Convert X in units XUNITS to Y in units YUNITS.
CVCAL Multiply a vector by a scalar and store the result in another vector, y = ax, al ...
CVTSI Convert a character string containing an integer number into the corresponding i ...
CWPL Weierstrass P-function with primitive half-periods 1/2 [AMS55 (18.1)]. The corre ...
CWPLD First derivative of CWPL.
CWPQ Weierstrass P-function in the equianharmonic case for complex argument with unit ...
CWPQD First derivative of CWPQ.
CZCDOT Compute the sum of a complex scalar plus a complex conjugate dot product, a + co ...
CZDOTA Compute the sum of a complex scalar, a complex dot product and the double-comple ...
CZDOTC Compute the complex conjugate dot product, conjg(x)*y, using a double-precision ...
CZDOTI Compute the sum of a complex scalar plus a complex dot product using a double-co ...
CZDOTU Compute the complex dot product x*y using a double-precision accumulator.
CZUDOT Compute the sum of a complex scalar plus a complex dot product, a + x*y, using a ...
DACOSH (ACOSH) Arccosh(x), for double precision x.
DADD (SADD) Add a scalar to each component of a vector, x = x + a, all single precision.
DAI (AI) Airy function Ai(x).
DAID (AID) Derivative of the Airy function Ai(x).
DAIDE (AIDE) Exponentially scaled derivative of the Airy function exp(x)dAi(x)/dx.
DAIE (AIE) Exponentially scaled Airy function exp(x)Ai(x).
DARBRB (ARBRB) Add two band matrices, both in band storage mode.
DASINH (ASINH) Arcsinh(x), for double precision x.
DASPG (DDASPG) Solve a first order differential-algebraic system of equations, g(t,y,y')=0, usi ...
DASUM (SASUM) Compute double precision sum of absolute values of a single precision vector.
DATANH (ATANH) Arctanh(x), for double precision x.
DAWS (DDAWS) Dawson's integral.
DAXPY (SAXPY) Compute the scalar times a vector plus a vector, y = ax + y, all double precisio ...
DBCLSF (BCLSF) Solve a nonlinear least squares problem subject to bounds on the variables using ...
DBCLSJ (BCLSJ) Solve a nonlinear least squares problem subject to bounds on the variables using ...
DBCOAH (BCOAH) Minimize a function of N variables subject to bounds on the variables using a mo ...
DBCODH (BCODH) Minimize a function of N variables subject to bounds on the variables using a mo ...
DBCONF (BCONF) Minimize a function of N variables subject to bounds on the variables using a qu ...
DBCONG (BCONG) Minimize a function of N variables subject to bounds on the variables using a qu ...
DBCPOL (BCPOL) Minimize a function of N variables subject to bounds on the variables using a di ...
DBEI0 (BEI0) Kelvin function bei, of order zero.
DBEI1 (BEI1) Kelvin function bei, of order one.
DBEIP0 (BEIP0) Derivative of the Kelvin function bei, of order zero.
DBER0 (BER0) Kelvin function ber, of order zero.
DBER1 (BER1) Kelvin function ber, of order one.
DBERP0 (BERP0) Derivative of the Kelvin function ber, of order zero.
DBETAI (BETAI) Incomplete beta function.
DBI (BI) Airy function Bi(x).
DBID (BID) Derivative of the Airy function Bi(x).
DBIDE (BIDE) Exponentially scaled derivative of the Airy function exp(-x)dBi(x)/dx.
DBIE (BIE) Exponentially scaled Airy function exp(-x)Bi(x).
DBLINF (BLINF) Compute the bilinear mode transpose(x)*A*y.
DBS1GD (BS1GD) Evaluate the derivative of a spline on a grid, given its B-spline representation ...
DBS2DR (BS2DR) Evaluate the derivative of a two-dimensional tensor-product spline, given its te ...
DBS2GD (BS2GD) Evaluate the derivative of a two-dimensional tensor-product spline, given its te ...
DBS2IG (BS2IG) Evaluate the integral of a tensor-product spline on a rectangular domain, given ...
DBS2IN (BS2IN) Compute a two-dimensional tensor-product spline interpolant, returning the tenso ...
DBS2VL (BS2VL) Evaluate a two-dimensional tensor-product spline, given its tensor-product B-spl ...
DBS3DR (BS3DR) Evaluate the derivative of a three-dimensional tensor-product spline, given its ...
DBS3GD (BS3GD) Evaluate the derivative of a three-dimensional tensor-product spline, given its ...
DBS3IG (BS3IG) Evaluate the integral of a tensor-product spline in three dimensions over a thre ...
DBS3IN (BS3IN) Compute a three-dimensional tensor-product spline interpolant, returning the ten ...
DBS3VL (BS3VL) Evaluate a three-dimensional tensor-product spline, given its tensor-product B-s ...
DBSCPP (BSCPP) Convert a spline in B-spline representation to piecewise polynomial representati ...
DBSDER (BSDER) Evaluate the derivative of a spline, given its B-spline representation.
DBSI0 (BSI0) Modified Bessel function I0(x).
DBSI0E (BSI0E) Exponentially scaled modified Bessel function exp(-x)I0(x).
DBSI1 (BSI1) Modified Bessel function I1(x).
DBSI1E (BSI1E) Exponentially scaled modified Bessel function exp(-x)I1(x).
DBSIES (BSIES) Sequence of exponentially scaled modified Bessel functions exp(-x)Ir(x), for r r ...
DBSINS (BSINS) Sequence of modified Bessel functions In(x).
DBSINT (BSINT) Compute the spline interpolant, returning the B-spline coefficients.
DBSIS (BSIS) Sequence of modified Bessel functions Ir(x), for r nonnegative real and x positi ...
DBSITG (BSITG) Evaluate the integral of a spline, given its B-spline representation.
DBSJ0 (BSJ0) Bessel function J0(x).
DBSJ1 (BSJ1) Bessel function J1(x).
DBSJNS (BSJNS) Sequence of Bessel functions Jn(x).
DBSJS (BSJS) Sequence of Bessel functions Jr(x), for real and positive r.
DBSK0 (BSK0) Bessel function K0(x).
DBSK0E (BSK0E) Exponentially scaled modified Bessel function exp(x)K0(x).
DBSK1 (BSK1) Bessel function K1(x).
DBSK1E (BSK1E) Exponentially scaled modified Bessel function exp(x)K1(x).
DBSKES (BSKES) Sequence of exponentially scaled modified Bessel functions exp(x)Kr(x), for real ...
DBSKS (BSKS) Sequence of modified Bessel functions Kr(x), for real r.
DBSLS2 (BSLS2) Compute a two-dimensional tensor-product spline approximant using least squares, ...
DBSLS3 (BSLS3) Compute a three-dimensional tensor-product spline approximant using least square ...
DBSLSQ (BSLSQ) Compute a B-spline least squares spline approximation to given data.
DBSNAK (BSNAK) Compute the not-a-knot spline knot sequence.
DBSOPK (BSOPK) Compute the optimal spline knot sequence.
DBSVAL (BSVAL) Evaluate a spline, given its B-spline representation.
DBSVLS (BSVLS) Compute the variable knot B-spline least squares to given data.
DBSY0 (BSY0) Bessel function Y0(x).
DBSY1 (BSY1) Bessel function Y1(x).
DBSYS (BSYS) Sequence of Bessel functions Yr(x), for real nonnegative r and positive x.
DBVPFD (BVPFD) Solve a system of differential equations with boundary conditions at two points, ...
DBVPMS (BVPMS) Solve a system of differential equations with boundary conditions at two points, ...
DCBIS (CBIS) Evaluate a sequence of Modified Bessel functions of the first kind with real ord ...
DCBJS (CBJS) Evaluate a sequence of Bessel functions of the first kind with real order and co ...
DCBKS (CBKS) Evaluate a sequence of Modified Bessel functions of the second kind with real or ...
DCBRT (CBRT) Cube root of a double precision real argument.
DCBYS (CBYS) Evaluate a sequence of Bessel functions of the second kind with real order and c ...
DCCONV (CCONV) Compute the convolution of two complex vectors.
DCCORL (CCORL) Compute the correlation of two complex vectors.
DCDGRD (CDGRD) Approximate the gradient using central differences.
DCEJCN (CEJCN) Evaluate the complex Jacobi elliptic function cn(z,m).
DCEJDN (CEJDN) Evaluate the complex Jacobi elliptic function dn(z,m).
DCEJSN (CEJSN) Evaluate the complex Jacobi elliptic function sn(z,m).
DCHGRD (CHGRD) Check a user-supplied gradient of a function.
DCHHES (CHHES) Check a user-supplied Hessian of an analytic function.
DCHI (CHI) Hyperbolic cosine integral.
DCHJAC (CHJAC) Check a user-supplied Jacobian of a system of equations with M functions in N un ...
DCI (CI) Cosine integral.
DCIN (CIN) Evaluate a function closely related to the cosine integral.
DCINH (CINH) Evaluate a function closely related to the hyperbolic cosine integral.
DCONFT (CONFT) Compute the least-squares constrained spline approximation, returning the B-spli ...
DCONST (CONST) Various mathematical and physical constants.
DCOPY (SCOPY) Copy a vector X to a vector Y, both double precision.
DCOSDG (COSDG) Cos(x), for double precision x in degrees.
DCOT (COT) Cotan(x), for double precision x.
DCRBRB (CRBRB) Copy a real band matrix stored in band storage mode.
DCRBRG (CRBRG) Convert a real matrix in band storage mode to a matrix in full storage mode.
DCRGRB (CRGRB) Convert a real matrix in full storage mode to a matrix in band storage mode.
DCRGRG (CRGRG) Copy a real general matrix.
DCS1GD (CS1GD) Evaluate the derivative of a cubic spline on a grid.
DCSAKM (CSAKM) Compute the Akima cubic spline interpolant.
DCSBRB (CSBRB) Copy a real symmetric band matrix stored in band symmetric storage mode to a rea ...
DCSCON (CSCON) Compute a cubic spline interpolant which is consistent with the concavity of the ...
DCSDEC (CSDEC) Compute the cubic spline interpolant with specified derivative endpoint conditio ...
DCSDER (CSDER) Evaluate the derivative of a cubic spline.
DCSFRG (CSFRG) Extend a real symmetric matrix defined in its upper triangle to its lower triang ...
DCSHER (CSHER) Compute a Hermite cubic spline interpolant.
DCSIEZ (CSIEZ) Compute the cubic spline interpolant with the `not-a-knot' condition and return ...
DCSINT (CSINT) Compute the cubic spline interpolant with the 'not-a-knot' condition.
DCSITG (CSITG) Evaluate the integral of a cubic spline.
DCSPER (CSPER) Compute the cubic spline interpolant with periodic boundary conditions.
DCSSCV (CSSCV) Compute a smooth cubic spline approximation to noisy data using cross-validation ...
DCSSED (CSSED) Smooth one-dimensional data by error detection.
DCSSMH (CSSMH) Compute a smooth cubic spline approximation to noisy data.
DCSVAL (CSVAL) Evaluate a cubic spline.
DCUNIT (CUNIT) Convert X in units XUNITS to Y in units YUNITS.
DDASPG (DASPG) Solve a first order differential-algebraic system of equations, g(t,y,y')=0, usi ...
DDAWS (DAWS) Double precision Dawson integral.
DDERIV (DERIV) Compute the first, second or third derivative of a user-supplied function.
DDISL1 (DISL1) Compute the 1-norm distance between two points.
DDISL2 (DISL2) Compute the Euclidean (2-norm) distance between two points.
DDISLI (DISLI) Compute the infinity norm distance between two points.
DDLPRS (DLPRS) Solve a linear programming problem via the revised simplex algorithm.
DDOT (SDOT) Compute double precision dot product x*y.
DE1 (E1) Exponential integral for arguments greater than zero and the Cauchy principal va ...
DEI (EI) Exponential integral for arguments greater than zero and the Cauchy principal va ...
DEJCN (EJCN) Evaluate the Jacobi elliptic function cn(x,m).
DEJDN (EJDN) Evaluate the Jacobi elliptic function dn(x,m).
DEJSN (EJSN) Evaluate the Jacobi elliptic function sn(x,m).
DELE (ELE) Complete elliptic integral E(m), see [AMS55 (17.3.3)].
DELK (ELK) Complete elliptic integral K(m), see [AMS55 (17.3.1)].
DELRC (ELRC) Carlson's incomplete elliptic integral RC(x,y).
DELRD (ELRD) Carlson's incomplete elliptic integral RD(x,y,z).
DELRF (ELRF) Carlson's incomplete elliptic integral RF(x,y,z).
DELRJ (ELRJ) Carlson's incomplete elliptic integral RJ(x,y,z,p).
DENE (ENE) Exponential integral of integer order for arguments greater than zero scaled by ...
DEPISB (EPISB) Compute the performance index for a real symmetric eigensystem in band symmetric ...
DEPISF (EPISF) Compute the performance index for a real symmetric eigensystem.
DERF (ERF) Double precision error function, = (2 / square root of pi) * the integral from 0 ...
DERFC (ERFC) Double precision complementary error function, = (2 / square root of pi) * the i ...
DERFCE (ERFCE) Exponentially scaled complementary error function.
DERFCI (ERFCI) Inverse complementary error function.
DERFI (ERFI) Inverse error function.
DERIV (DDERIV) Compute the first, second or third derivative of a user-supplied function.
DEVASB (EVASB) Compute the largest or smallest eigenvalues of a real symmetric matrix in band s ...
DEVASF (EVASF) Compute the largest or smallest eigenvalues of a real symmetric matrix.
DEVBSB (EVBSB) Compute the eigenvalues in a given range of a real symmetric matrix stored in ba ...
DEVBSF (EVBSF) Compute the eigenvalues in a given range of a real symmetric matrix.
DEVCSB (EVCSB) Compute all of the eigenvalues and eigenvectors of a real symmetric matrix in ba ...
DEVCSF (EVCSF) Compute all of the eigenvalues and eigenvectors of a real symmetric matrix.
DEVESB (EVESB) Compute the largest or smallest eigenvalues and the corresponding eigenvectors o ...
DEVESF (EVESF) Compute the largest or smallest eigenvalues and the corresponding eigenvectors o ...
DEVFSB (EVFSB) Compute the eigenvalues in a given range and the corresponding eigenvectors of a ...
DEVFSF (EVFSF) Compute the eigenvalues in a given range and the corresponding eigenvectors of a ...
DEVLSB (EVLSB) Compute all of the eigenvalues of a real symmetric matrix in band symmetric stor ...
DEVLSF (EVLSF) Compute all of the eigenvalues of a real symmetric matrix.
DEXPRL (EXPRL) (exp(x)-1)/x, for double precision x.
DFAC (FAC) Factorial. Input is integer, output is double precision.
DFCOST (FCOST) Discrete Fourier cosine transformation of an even sequence.
DFDGRD (FDGRD) Approximate the gradient using forward differences.
DFDHES (FDHES) Approximate the Hessian using forward differences and function values.
DFDJAC (FDJAC) Approximate the Jacobian of M functions in N unknowns using forward differences.
DFFT3B (FFT3B) Compute the inverse Fourier transform of a complex periodic three-dimensional ar ...
DFFT3F (FFT3F) Compute Fourier coefficients of a complex periodic three-dimensional array.
DFFTRB (FFTRB) Compute the real periodic sequence from its Fourier coefficients.
DFFTRF (FFTRF) Compute the Fourier coefficients of a real periodic sequence.
DFNLSQ (FNLSQ) Least squares approximation with user-supplied basis functions.
DFPS2H (FPS2H) Solve Poisson's or Helmholtz's equation on a two-dimensional rectangle using a f ...
DFPS3H (FPS3H) Solve Poisson's or Helmholtz's equation on a three-dimensional box using a fast ...
DFQRUL (FQRUL) Compute a Fejer quadrature rule with various classical weight functions.
DFRESC (FRESC) Evaluate the cosine Fresnel integral.
DFRESS (FRESS) Evaluate the sine Fresnel integral.
DFSINT (FSINT) Discrete Fourier cosine transformation of an odd sequence.
DGAMI (GAMI) Incomplete gamma function.
DGAMIC (GAMIC) Complementary incomplete gamma function.
DGAMIT (GAMIT) Tricomi's incomplete gamma function, for double precision argument.
DGAMMA (GAMMA) gamma(x), for double precision x.
DGAMR (GAMR) 1/gamma(x), for double precision x.
DGBMV (SGBMV) Perform one of the matrix-vector operations: y = alpha*A*x + beta*y or y = alpha ...
DGDHES (GDHES) Approximate the Hessian using forward differences and a user-supplied gradient.
DGEMM (SGEMM) Perform one of the following matrix-matrix multiplications: C = alpha*A*B + beta ...
DGEMV (SGEMV) Perform one of the matrix-vector operations: y = alpha*A*x + beta*y or y = alpha ...
DGGUES (GGUES) Generate points in an N-dimensional space.
DGPISP (GPISP) Compute the performance index for a generalized real symmetric eigensystem probl ...
DGQRCF (GQRCF) Compute a Gauss, Gauss-Radau or Gauss-Lobatto quadrature rule given the recurren ...
DGQRUL (GQRUL) Compute a Gauss, Gauss-Radau or Gauss-Lobatto quadrature rule with various class ...
DGVCSP (GVCSP) Compute all of the eigenvalues and eigenvectors of the generalized real symmetri ...
DGVLSP (GVLSP) Compute all of the eigenvalues of the generalized real symmetric eigenvalue prob ...
DHPROD (SHPROD) Compute the Hadamard product of two single precision vectors.
DHRRRR (HRRRR) Compute the Hadamard product of two real matrices.
DHYPOT (HYPOT) SQRT(A**2+B**2) without underflow or overflow.
DISL1 (DDISL1) Compute the 1-norm distance between two points.
DISL2 (DDISL2) Compute the Euclidean (2-norm) distance between two points.
DISLI (DDISLI) Compute the infinity norm distance between two points.
DIVPAG (IVPAG) Solve an initial-value problem for ordinary differential equations using an Adam ...
DIVPRK (IVPRK) Solve an initial-value problem for ordinary differential equations using the Run ...
DJCGRC (JCGRC) Solve a real symmetric definite linear system using the Jacobi-preconditioned co ...
DKEI0 (AKEI0) Kelvin function kei0(x).
DKEI1 (AKEI1) Kelvin function kei1(x).
DKEIP0 (AKEIP0) Derivative of the Kelvin function kei0(x).
DKER0 (AKER0) Kelvin function ker1(x).
DKER1 (AKER1) Kelvin function ker1(x).
DKERP0 (AKERP0) Derivative of the Kelvin function ker0(x).
DLBETA (ALBETA) Logarithm of the complete beta function for positive arguments.
DLCHRG (LCHRG) Compute the Cholesky decomposition of a symmetric positive semidefinite matrix w ...
DLCLSQ (LCLSQ) Solve a linear least-squares problem with linear constraints.
DLCONF (LCONF) Minimize a general objective function subject to linear equality/inequality cons ...
DLCONG (LCONG) Minimize a general objective function subject to linear equality/inequality cons ...
DLDNCH (LDNCH) Downdate the transpose(R)*R Cholesky factorization of a real symmetric positive ...
DLFCDS (LFCDS) Compute the transpose(R)*R Cholesky factorization of a real symmetric positive d ...
DLFCQS (LFCQS) Compute the Cholesky factorization of a real symmetric positive definite matrix ...
DLFCRB (LFCRB) Compute the LU factorization of a real matrix in band storage mode and estimate ...
DLFCRG (LFCRG) Compute the LU factorization of a real general matrix and estimate its L1 condit ...
DLFCRT (LFCRT) Estimate the condition number of a real triangular matrix.
DLFCSF (LFCSF) Compute the U*D*transpose(U) factorization of a real symmetric matrix and estima ...
DLFDDS (LFDDS) Compute the determinant of a real symmetric positive definite matrix given the t ...
DLFDQS (LFDQS) Compute the determinant of a real symmetric positive definite matrix in band sym ...
DLFDRB (LFDRB) Compute the determinant of a real matrix in band storage mode given the LU facto ...
DLFDRG (LFDRG) Compute the determinant of a real general matrix given the LU factorization of t ...
DLFDRT (LFDRT) Compute the determinant of a real triangular matrix.
DLFDSF (LFDSF) Compute the determinant of a real symmetric matrix given the U*D*transpose(U) fa ...
DLFIDS (LFIDS) Use iterative refinement to improve the solution of a real symmetric positive de ...
DLFIQS (LFIQS) Use iterative refinement to improve the solution of a real symmetric positive de ...
DLFIRB (LFIRB) Use iterative refinement to improve the solution of a real system of linear equa ...
DLFIRG (LFIRG) Use iterative refinement to improve the solution of a real general system of lin ...
DLFISF (LFISF) Use iterative refinement to improve the solution of a real symmetric system of l ...
DLFSDS (LFSDS) Solve a real symmetric positive definite system of linear equations given the tr ...
DLFSQS (LFSQS) Solve a real symmetric positive definite system of linear equations given the fa ...
DLFSRB (LFSRB) Solve a real system of linear equations given the LU factorization of the coeffi ...
DLFSRG (LFSRG) Solve a real general system of linear equations given the LU factorization of th ...
DLFSSF (LFSSF) Solve a real symmetric system of linear equations given the U*D*transpose(U) fac ...
DLFSXD (LFSXD) Solve a real sparse symmetric positive definite system of linear equations, give ...
DLFSXG (LFSXG) Solve a sparse system of linear equations given the LU factorization of the coef ...
DLFSZD (LFSZD) Solve a complex sparse Hermitian positive definite system of linear equations, g ...
DLFTDS (LFTDS) Compute the transpose(R)*R Cholesky factorization of a real symmetric positive d ...
DLFTQS (LFTQS) Compute the transpose(R)*R Cholesky factorization of a real symmetric positive d ...
DLFTRB (LFTRB) Compute the LU factorization of a real matrix in band storage mode.
DLFTRG (LFTRG) Compute the LU factorization of a real general matrix.
DLFTSF (LFTSF) Compute the U*D*transpose(U) factorization of a real symmetric matrix.
DLFTXG (LFTXG) Compute the LU factorization of a real general sparse matrix.
DLFTZG (LFTZG) Compute the LU factorization of a complex general sparse matrix.
DLGAMS (ALGAMS) Return the logarithm of the absolute value of the gamma function and the sign of ...
DLI (ALI) Logarithmic integral. Integral from 0 to x of 1/ln(t), for double precision x an ...
DLINDS (LINDS) Compute the inverse of a real symmetric positive definite matrix.
DLINRG (LINRG) Compute the inverse of a real general matrix.
DLINRT (LINRT) Compute the inverse of a real triangular matrix.
DLNFXD (LNFXD) Compute the numerical Cholesky factorization of a sparse symmetrical matrix A.
DLNFZD (LNFZD) Compute the numerical Cholesky factorization of a sparse Hermitian matrix A.
DLNGAM (ALNGAM) Ln(abs(gamma(x))).
DLNREL (ALNREL) Ln(1+x), for double precision x.
DLPRS (DDLPRS) Solve a linear programming problem via the revised simplex algorithm.
DLQERR (LQERR) Accumulate the orthogonal matrix Q from its factored form given the QR factoriza ...
DLQRRR (LQRRR) Compute the QR decomposition using Householder transformations.
DLQRRV (LQRRV) Compute the least-squares solution using Householder transformations applied in ...
DLQRSL (LQRSL) Compute the coordinate transformation, projection, and solution for the least sq ...
DLSADS (LSADS) Solve a real symmetric positive definite system of linear equations with iterati ...
DLSAQS (LSAQS) Solve a real symmetric positive definite system of linear equations in band symm ...
DLSARB (LSARB) Solve a real system of linear equations in band storage mode with iterative refi ...
DLSARG (LSARG) Solve a real general system of linear equations with iterative refinement.
DLSASF (LSASF) Solve a real symmetric system of linear equations with iterative refinement.
DLSBRR (LSBRR) Solve a linear least squares problem with iterative refinement.
DLSGRR (LSGRR) Compute the generalized inverse of a real matrix.
DLSLCQ (LSLCQ) Compute the LDU factorization of a complex tridiagonal matrix A using a cyclic r ...
DLSLCR (LSLCR) Compute the LDU factorization of a real tridiagonal matrix A using a cyclic redu ...
DLSLDS (LSLDS) Solve a real symmetric positive definite system of linear equations without iter ...
DLSLPB (LSLPB) Compute the trans(R)*D*R Cholesky factorization of a real symmetric positive def ...
DLSLQB (LSLQB) Compute the ctrans(R)*D*R Cholesky factorization of a complex hermitian positive ...
DLSLQS (LSLQS) Solve a real symmetric positive definite system of linear equations in band symm ...
DLSLRB (LSLRB) Solve a real system of linear equations in band storage mode without iterative r ...
DLSLRG (LSLRG) Solve a real general system of linear equations without iterative refinement.
DLSLRT (LSLRT) Solve a real triangular system of linear equations.
DLSLSF (LSLSF) Solve a real symmetric system of linear equations without iterative refinement.
DLSLTO (LSLTO) Solve a real Toeplitz linear system.
DLSLTQ (LSLTQ) Solve a complex tridiagonal system of linear equations.
DLSLTR (LSLTR) Solve a real tridiagonal system of linear equations.
DLSLXD (LSLXD) Solve a sparse system of symmetric positive definite linear algebraic equations ...
DLSLXG (LSLXG) Solve a sparse system of linear algebraic equations by Gaussian elimination.
DLSLZD (LSLZD) Solve a complex sparse Hermitian positive definite system of linear equations by ...
DLSLZG (LSLZG) Solve a complex sparse system of linear equations by Gaussian elimination.
DLSQRR (LSQRR) Solve a linear least squares problem without iterative refinement.
DLSVRR (LSVRR) Compute the singular value decomposition of a real matrix.
DLUPCH (LUPCH) Update the transpose(R)*R Cholesky factorization of a real symmetric positive de ...
DLUPQR (LUPQR) Compute an updated QR factorization after the rank-one matrix alpha*x*transpose( ...
DMACH (AMACH) Retrieve single-precision machine constants.
DMATCE (MATCE) Evaluate a sequence of even, periodic, integer order, real Mathieu functions.
DMATEE (MATEE) Evaluate the eigenvalues for the periodic Mathieu functions.
DMATSE (MATSE) Evaluate a sequence of odd, periodic, integer order, real Mathieu functions.
DMOLCH (MOLCH) Solve a system of partial differential equations of the form UT = FCN(X, T, U, U ...
DMRRRR (MRRRR) Multiply two real rectangular matrices, A*B.
DMURBV (MURBV) Multiply a real band matrix in band storage mode by a real vector.
DMURRV (MURRV) Multiply a real rectangular matrix by a vector.
DMXTXF (MXTXF) Compute the transpose product of a matrix, transpose(A)*A.
DMXTYF (MXTYF) Multiply the transpose of matrix A by matrix B, transpose(A)*B.
DMXYTF (MXYTF) Multiply a matrix A by the transpose of a matrix B, A*transpose(B).
DNCONF (NCONF) Solve a general nonlinear programming problem using the successive quadratic pro ...
DNCONG (NCONG) Solve a general nonlinear programming problem using the successive quadratic pro ...
DNEQBF (NEQBF) Solve a system of nonlinear equations using factored secant update with a finite ...
DNEQBJ (NEQBJ) Solve a system of nonlinear equations using factored secant update with a user-s ...
DNEQNF (NEQNF) Uses a modified Powell hybrid algorithm and a finite difference approximation to ...
DNEQNJ (NEQNJ) Solve a system of nonlinear equations using the Levenberg-Marquardt algorithm wi ...
DNR1RB (NR1RB) Compute the 1-norm of a real band matrix in band storage mode.
DNR1RR (NR1RR) Compute the 1-norm of a real matrix.
DNR2RR (NR2RR) Compute the Frobenius norm of a real rectangular matrix.
DNRIRR (NRIRR) Compute the infinity norm of a real matrix.
DNRM2 (SNRM2) Compute the Euclidean length or L2 norm of a single-precision vector.
DPCGRC (PCGRC) Solve a real symmetric definite linear system using a preconditioned conjugate g ...
DPERMA (PERMA) Permute the rows or columns of a matrix.
DPERMU (PERMU) Rearrange the elements of an array as specified by a permutation.
DPLOTP (PLOTP) Print a plot of up to ten sets of points.
DPOCH (POCH) Pochhammer's symbol. Input and output are double precision.
DPOCH1 (POCH1) Pochhammer's symbol from first order. Input and output are double precision.
DPOLRG (POLRG) Evaluate a real general matrix polynomial.
DPP1GD (PP1GD) Evaluate the derivative of a piecewise polynomial on a grid.
DPPDER (PPDER) Evaluate the derivative of a piecewise polynomial.
DPPITG (PPITG) Evaluate the integral of a piecewise polynomial.
DPPVAL (PPVAL) Evaluate a piecewise polynomial.
DPRDCT (SPRDCT) Multiply the components of a single precision vector.
DPSI (PSI) Logarithmic derivative of the gamma function.
DQADD Add a double precision scalar to the accumulator in extended precision.
DQAND (QAND) Integrate a function on a hyper-rectangle.
DQCOSB (QCOSB) Compute a sequence from its cosine Fourier coefficients with only odd wave numbe ...
DQCOSF (QCOSF) Compute the coefficients of the cosine Fourier transform with only odd wave numb ...
DQD2DR (QD2DR) Evaluate the derivative of a function defined on a rectangular grid using quadra ...
DQD2VL (QD2VL) Evaluate a function defined on a rectangular grid using quadratic interpolation.
DQD3DR (QD3DR) Evaluate the derivative of a function defined on a rectangular three-dimensional ...
DQD3VL (QD3VL) Evaluate a function defined on a rectangular three-dimensional grid using quadra ...
DQDAG (QDAG) Integrate a function using a globally adaptive scheme based on Gauss-Kronrod rul ...
DQDAGI (QDAGI) Integrate a function over an infinite or semi-infinite interval.
DQDAGP (QDAGP) Integrate a function with singularity points given.
DQDAGS (QDAGS) Integrate a function (which may have endpoint singularities).
DQDAWC (QDAWC) Integrate a function F(X)/(X-C) in the Cauchy principal value sense.
DQDAWF (QDAWF) Compute a Fourier integral.
DQDAWO (QDAWO) Integrate a function containing a sine or a cosine.
DQDAWS (QDAWS) Integrate a function with algebraic-logarithmic singularities.
DQDDER (QDDER) Evaluate the derivative of a function defined on a set of points using quadratic ...
DQDDOT (SDSDOT) Compute the sum of a double-precision scalar and a double-precision dot product, ...
DQDNG (QDNG) Integrate a smooth function using a nonadaptive rule.
DQDOTA (SDDOTA) Compute the sum of a double-precision scalar, a double-precision dot product and ...
DQDOTI (SDDOTI) Compute the sum of a double-precision scalar plus a double-precision dot product ...
DQDVAL (QDVAL) Evaluate a function defined on a set of points using quadratic interpolation.
DQINI Initialize an extended-precision accumulator with a double precision scalar.
DQMUL Multiply double precision scalars in extended precision.
DQPROG (QPROG) Solve a quadratic programming problem subject to linear equality/inequality cons ...
DQSINB (QSINB) Compute a sequence from its sine Fourier coefficients with only odd wave numbers ...
DQSINF (QSINF) Compute the coefficients of the sine Fourier transform with only odd wave number ...
DQSTO Store a double precision approximation to an extended-precision scalar.
DRATCH (RATCH) Compute a rational weighted Chebyshev approximation to a continuous function on ...
DRCONV (RCONV) Compute the convolution of two real vectors.
DRCORL (RCORL) Compute the correlation of two real vectors.
DRECCF (RECCF) Compute recurrence coefficients for various monic polynomials.
DRECQR (RECQR) Compute recurrence coefficients for monic polynomials given a quadrature rule.
DRLINE (RLINE) Fit a line to a set of data points using least squares.
DRNUN (RNUN) Generate pseudorandom numbers from a uniform (0,1) distribution.
DRNUNF (RNUNF) Generate a pseudorandom number from a uniform (0,1) distribution.
DROT (SROT) Apply Givens plane rotation to double precision vector.
DROTG (SROTG) Construct Givens plane rotation of a double precision matrix.
DROTM (SROTM) Apply modified Givens plane rotation to double precision vector.
DROTMG (SROTMG) Construct modified Givens plane rotation of double precision matrix.
DSBMV (SSBMV) Perform the matrix-vector operation y = alpha*A*x + beta*y, where A is a symmetr ...
DSCAL (SSCAL) Compute a constant times a vector, y = ay, both double precision.
DSDOT Compute single precision dot product x*y using double precision accumulation.
DSET (SSET) Set the components of a vector to a scalar, all double precision.
DSHI (SHI) Hyperbolic sine integral.
DSI (SI) Sine integral.
DSINDG (SINDG) Sin(x), for double precision x in degrees.
DSINLP (SINLP) Compute the inverse Laplace transform of a complex function.
DSPENC (SPENC) Evaluate Spence's integral, see [AMS55 (27.7.1)].
DSPLEZ (SPLEZ) Compute the values of a spline that either interpolates or fits user-supplied da ...
DSRCH (SRCH) Search a sorted vector for a given scalar and return its index.
DSUB (SSUB) Subtract each component of a vector from a scalar, x = a - x, all double precisi ...
DSUM (SSUM) Sum the values of a double precision vector.
DSURF (SURF) Compute a smooth bivariate interpolant to scattered data which is locally a quin ...
DSVRBN (SVRBN) Sort an array by absolute values.
DSVRBP (SVRBP) Sort an array by absolute values and return a pointer array.
DSVRGN (SVRGN) Sort an array by algebraic values.
DSVRGP (SVRGP) Sort an array by algebraic values and return a pointer array.
DSWAP (SSWAP) Interchange vectors X and Y, both double precision.
DSYMM (SSYMM) Performs one of the matrix-matrix operations: C = alpha*A*B + beta*C, or C = alp ...
DSYMV (SSYMV) Perform the matrix-vector multiplication: y = alpha*A*x + beta*y, where A is a s ...
DSYR (SSYR) Perform the rank-one symmetric matrix update A = A + alpha*x*trans(x), where A i ...
DSYR2 (SSYR2) Perform the rank-two symmetric matrix update A = A + alpha*x*trans(y) + alpha*y* ...
DSYR2K (SSYR2K) Performs one of the symmetric rank 2k operations C = alpha*A*trans(B) + alpha*B* ...
DSYRK (SSYRK) Performs one of the symmetric rank k operations C = alpha*A*trans(A) + beta*C, o ...
DTBMV (STBMV) Perform one of the matrix-vector operations: x = A*x, or x = trans(A)*x, where A ...
DTBSV (STBSV) Solve one of the triangular systems, x = inv(A)*x, or x = inv(trans(A))*x, where ...
DTRMM (STRMM) Performs one of the matrix-matrix operations: B = alpha*op A )*B, or B = alpha*B ...
DTRMV (STRMV) Perform one of the matrix-vector operations: x = A*x, or x = trans(A)*x, where A ...
DTRNRR (TRNRR) Transpose a rectangular matrix.
DTRSV (STRSV) Solve one of the triangular systems, x = inv(A)*x, or x = inv(trans(A))*x, where ...
DTWODQ (TWODQ) Compute a two-dimensional iterated integral using internal calls to a one dimens ...
DUMAG This routine handles MATH/LIBRARY and STAT/LIBRARY type DOUBLE PRECISION options ...
DUMCGF (UMCGF) Minimize a function of N variables using a conjugate gradient algorithm and a fi ...
DUMCGG (UMCGG) Minimize a function of N variables using a conjugate gradient algorithm and a us ...
DUMIAH (UMIAH) Minimize a function of N variables using a modified Newton method and a user-sup ...
DUMIDH (UMIDH) Minimize a function of N variables using a modified Newton method and a finite-d ...
DUMINF (UMINF) Minimize a function of N variables using a quasi-Newton method and a finite-diff ...
DUMING (UMING) Minimize a function of N variables using a quasi-Newton method and a user-suppli ...
DUMPOL (UMPOL) Minimize a function of N variables using a direct search polytope algorithm.
DUNLSF (UNLSF) Solve a nonlinear least squares problem using a modified Levenberg-Marquardt alg ...
DUNLSJ (UNLSJ) Solve a nonlinear least squares problem using a modified Levenberg-Marquardt alg ...
DUVMGS (UVMGS) Find the minimum point of a nonsmooth function of a single variable.
DUVMID (UVMID) Find the minimum point of a smooth function of a single variable using both func ...
DUVMIF (UVMIF) Find the minimum point of a smooth function of a single variable using only func ...
DVCAL (SVCAL) Multiply a vector by a scalar and store the result in another vector, y = ax, al ...
DWRRRL (WRRRL) Print a real rectangular matrix with a given format and labels.
DWRRRN (WRRRN) Print a real rectangular matrix with integer row and column labels.
DXYZ (SXYZ) Compute a double precision XYZ product.
DZBREN (ZBREN) Finds a zero of a function which changes sign in a given interval.
DZREAL (ZREAL) Finds a real zero of a real function.
E1 (DE1) Exponential integral for arguments greater than zero and the Cauchy principal va ...
EI (DEI) Integral from -x to infinity of -exp(-t)/t. Exponential integral for arguments g ...
EJCN (DEJCN) Evaluate the Jacobi elliptic function cn(x,m).
EJDN (DEJDN) Evaluate the Jacobi elliptic function dn(x,m).
EJSN (DEJSN) Evaluate the Jacobi elliptic function sn(x,m).
ELE (DELE) Complete elliptic integral E(m), see [AMS55 (17.3.3)].
ELK (DELK) Complete elliptic integral K(m), see [AMS55 (17.3.1)].
ELRC (DELRC) Carlson's incomplete elliptic integral RC(x,y).
ELRD (DELRD) Carlson's incomplete elliptic integral RD(x,y,z).
ELRF (DELRF) Carlson's incomplete elliptic integral RF(x,y,z).
ELRJ (DELRJ) Carlson's incomplete elliptic integral RJ(x,y,z,p).
ENE (DENE) Exponential integral of integer order for arguments greater than zero scaled by ...
EPICG Compute the performance index for a complex eigensystem.
EPIHF Compute the performance index for a complex Hermitian eigensystem.
EPIRG Compute the performance index for a real eigensystem.
EPISB (DEPISB) Compute the performance index for a real symmetric eigensystem in band symmetric ...
EPISF (DEPISF) Compute the performance index for a real symmetric eigensystem.
ERF (DERF) Error function, = (2 / square root of pi) * the integral from 0 to x of exp(-t** ...
ERFC (DERFC) Complementary error function, = (2 / square root of pi) * the integral from x to ...
ERFCE (DERFCE) Exponentially scaled complementary error function.
ERFCI (DERFCI) Inverse complementary error function.
ERFI (DERFI) Inverse error function.
ERSET Set error handler default print and stop actions.
EVAHF Compute the largest or smallest eigenvalues of a complex Hermitian matrix.
EVASB (DEVASB) Compute the largest or smallest eigenvalues of a real symmetric matrix in band s ...
EVASF (DEVASF) Compute the largest or smallest eigenvalues of a real symmetric matrix.
EVBHF Compute the eigenvalues in a given range of a complex Hermitian matrix.
EVBSB (DEVBSB) Compute the eigenvalues in a given range of a real symmetric matrix stored in ba ...
EVBSF (DEVBSF) Compute the eigenvalues in a given range of a real symmetric matrix.
EVCCG Compute all of the eigenvalues and eigenvectors of a complex matrix.
EVCCH Compute all of the eigenvalues and eigenvectors of a complex upper Hessenberg ma ...
EVCHF Compute all of the eigenvalues and eigenvectors of a complex Hermitian matrix.
EVCRG Compute all of the eigenvalues and eigenvectors of a real matrix.
EVCRH Compute all of the eigenvalues and eigenvectors of a real upper Hessenberg matri ...
EVCSB (DEVCSB) Compute all of the eigenvalues and eigenvectors of a real symmetric matrix in ba ...
EVCSF (DEVCSF) Compute all of the eigenvalues and eigenvectors of a real symmetric matrix.
EVEHF Compute the largest or smallest eigenvalues and the corresponding eigenvectors o ...
EVESB (DEVESB) Compute the largest or smallest eigenvalues and the corresponding eigenvectors o ...
EVESF (DEVESF) Compute the largest or smallest eigenvalues and the corresponding eigenvectors o ...
EVFHF Compute the eigenvalues in a given range and the corresponding eigenvectors of a ...
EVFSB (DEVFSB) Compute the eigenvalues in a given range and the corresponding eigenvectors of a ...
EVFSF (DEVFSF) Compute the eigenvalues in a given range and the corresponding eigenvectors of a ...
EVLCG Compute all of the eigenvalues of a complex matrix.
EVLCH Compute all of the eigenvalues of a complex upper Hessenberg matrix.
EVLHF Compute all of the eigenvalues of a complex Hermitian matrix.
EVLRG Compute all of the eigenvalues of a real matrix.
EVLRH Compute all of the eigenvalues of a real upper Hessenberg matrix.
EVLSB (DEVLSB) Compute all of the eigenvalues of a real symmetric matrix in band symmetric stor ...
EVLSF (DEVLSF) Compute all of the eigenvalues of a real symmetric matrix.
EXPRL (DEXPRL) (exp(x)-1)/x.
FAC (DFAC) Factorial. Input is integer, output is real.
FCOST (DFCOST) Discrete Fourier cosine transformation of an even sequence.
FDGRD (DFDGRD) Approximate the gradient using forward differences.
FDHES (DFDHES) Approximate the Hessian using forward differences and function values.
FDJAC (DFDJAC) Approximate the Jacobian of M functions in N unknowns using forward differences.
FFT2B Inverse Fourier transform of a complex periodic two-dimensional array.
FFT2D Compute Fourier coefficients of a complex periodic two-dimensional array.
FFT3B (DFFT3B) Compute the inverse Fourier transform of a complex periodic three-dimensional ar ...
FFT3F (DFFT3F) Compute Fourier coefficients of a complex periodic three-dimensional array.
FFTCB Compute the complex periodic sequence from its Fourier coefficients.
FFTCF Compute the Fourier coefficients of a complex periodic sequence.
FFTRB (DFFTRB) Compute the real periodic sequence from its Fourier coefficients.
FFTRF (DFFTRF) Compute the Fourier coefficients of a real periodic sequence.
FNLSQ (DFNLSQ) Least squares approximation with user-supplied basis functions.
FPS2H (DFPS2H) Solve Poisson's or Helmholtz's equation on a two-dimensional rectangle using a f ...
FPS3H (DFPS3H) Solve Poisson's or Helmholtz's equation on a three-dimensional box using a fast ...
FQRUL (DFQRUL) Compute a Fejer quadrature rule with various classical weight functions.
FRESC (DFRESC) Evaluate the cosine Fresnel integral.
FRESS (DFRESS) Evaluate the sine Fresnel integral.
FSINT (DFSINT) Discrete Fourier cosine transformation of an odd sequence.
GAMI (DGAMI) Incomplete gamma function.
GAMIC (DGAMIC) Complementary incomplete gamma function.
GAMIT (DGAMIT) Tricomi's incomplete gamma function.
GAMMA (DGAMMA) gamma(x).
GAMR (DGAMR) 1/gamma(x).
GDHES (DGDHES) Approximate the Hessian using forward differences and a user-supplied gradient.
GGUES (DGGUES) Generate points in an N-dimensional space.
GPICG Compute the performance index for a generalized complex eigensystem Az=(lambda)B ...
GPIRG Compute the performance index for a generalized real eigensystem Az=(lambda)Bz.
GPISP (DGPISP) Compute the performance index for a generalized real symmetric eigensystem probl ...
GQRCF (DGQRCF) Compute a Gauss, Gauss-Radau or Gauss-Lobatto quadrature rule given the recurren ...
GQRUL (DGQRUL) Compute a Gauss, Gauss-Radau or Gauss-Lobatto quadrature rule with various class ...
GVCCG Compute all of the eigenvalues and eigenvectors of a generalized complex eigensy ...
GVCRG Compute all of the eigenvalues and eigenvectors of a generalized real eigensyste ...
GVCSP (DGVCSP) Compute all of the eigenvalues and eigenvectors of the generalized real symmetri ...
GVLCG Compute all of the eigenvalues of a generalized complex eigensystem Az=(lambda)B ...
GVLRG Compute all of the eigenvalues of a generalized real eigensystem Az=(lambda)Bz.
GVLSP (DGVLSP) Compute all of the eigenvalues of the generalized real symmetric eigenvalue prob ...
HRRRR (DHRRRR) Compute the Hadamard product of two real matrices.
HYPOT (DHYPOT) SQRT(A**2+B**2) without underflow or overflow.
IACHAR Return the integer ASCII value of a character argument.
IADD Add a scalar to each component of a vector, x = x + a, all integer.
ICAMAX Find the smallest index of the component of a complex vector having maximum magn ...
ICAMIN Find the smallest index of the component of a complex vector having minimum magn ...
ICASE Convert from character to the integer ASCII value without regard to case.
ICOPY Copy a vector X to a vector Y, both integer.
IDAMAX (ISAMAX) Find the smallest index of the component of a single-precision vector having max ...
IDAMIN (ISAMIN) Find the smallest index of the component of a single-precision vector having min ...
IDMAX (ISMAX) Find the smallest index of the component of a single-precision vector having max ...
IDMIN (ISMIN) Find the smallest index of the component of a single-precision vector having min ...
IDYWK Compute the day of the week for a given date.
IERCD Retrieve the code for an informational error.
IICSR Compare two character strings using the ASCII collating sequence but without reg ...
IIDEX Determine the string position indicating the starting position at which a key ch ...
IIMAX Find the smallest index of the maximum component of an integer vector.
IIMIN Find the smallest index of the minimum of an integer vector.
IMACH Retrieve integer machine constants.
INITDS (INITS) Returns the number of terms of a given orthogonal series needed to ensure that t ...
INITS (INITDS) Returns the number of terms of a given orthogonal series needed to ensure that t ...
INLAP Inverse Laplace transform of a complex function.
ISAMAX (IDAMAX) Find the smallest index of the component of a single-precision vector having max ...
ISAMIN (IDAMIN) Find the smallest index of the component of a single-precision vector having min ...
ISET Set the components of a vector to a scalar, all integer.
ISMAX (IDMAX) Find the smallest index of the component of a single-precision vector having max ...
ISMIN (IDMIN) Find the smallest index of the component of a single-precision vector having min ...
ISRCH Search a sorted integer vector for a given integer and return its index.
ISUB Subtract each component of a vector from a scalar, x = a - x, all integer.
ISUM Sum the values of an integer vector.
ISWAP Interchange vectors X and Y, both integer.
IUMAG This routine handles MATH/LIBRARY and STAT/LIBRARY type INTEGER options.
IVPAG (DIVPAG) Solve an initial-value problem for ordinary differential equations using an Adam ...
IVPRK (DIVPRK) Solve an initial-value problem for ordinary differential equations using the Run ...
IWKCIN Initialize bookkeeping locations describing the character workspace stack.
IWKIN Initialize bookkeeping locations describing the workspace stack.
JCGRC (DJCGRC) Solve a real symmetric definite linear system using the Jacobi-preconditioned co ...
LCHRG (DLCHRG) Compute the Cholesky decomposition of a symmetric positive semidefinite matrix w ...
LCLSQ (DLCLSQ) Solve a linear least-squares problem with linear constraints.
LCONF (DLCONF) Minimize a general objective function subject to linear equality/inequality cons ...
LCONG (DLCONG) Minimize a general objective function subject to linear equality/inequality cons ...
LDNCH (DLDNCH) Downdate the transpose(R)*R Cholesky factorization of a real symmetric positive ...
LFCCB Compute the LU factorization of a complex matrix in band storage mode and estima ...
LFCCG Compute the LU factorization of a complex general matrix and estimate its L1 con ...
LFCCT Estimate the condition number of a complex triangular matrix.
LFCDH Compute the Hermite(R)*R factorization of a complex Hermitian positive definite ...
LFCDS (DLFCDS) Compute the transpose(R)*R Cholesky factorization of a real symmetric positive d ...
LFCHF Compute the U*D*Hermite(U) factorization of a complex Hermitian matrix and estim ...
LFCQH Compute the Hermite(R)*R factorization of a complex Hermitian positive definite ...
LFCQS (DLFCQS) Compute the Cholesky factorization of a real symmetric positive definite matrix ...
LFCRB (DLFCRB) Compute the LU factorization of a real matrix in band storage mode and estimate ...
LFCRG (DLFCRG) Compute the LU factorization of a real general matrix and estimate its L1 condit ...
LFCRT (DLFCRT) Estimate the condition number of a real triangular matrix.
LFCSF (DLFCSF) Compute the U*D*transpose(U) factorization of a real symmetric matrix and estima ...
LFDCB Compute the determinant of a complex matrix given the LU factorization of the ma ...
LFDCG Compute the determinant of a complex general matrix given the LU factorization o ...
LFDCT Compute the determinant of a complex triangular matrix.
LFDDH Compute the determinant of a complex Hermitian positive definite matrix given th ...
LFDDS (DLFDDS) Compute the determinant of a real symmetric positive definite matrix given the t ...
LFDHF Compute the determinant of a complex Hermitian matrix given the U*D*Hermite(U) f ...
LFDQH Compute the determinant of a complex Hermitian positive definite matrix given th ...
LFDQS (DLFDQS) Compute the determinant of a real symmetric positive definite matrix in band sym ...
LFDRB (DLFDRB) Compute the determinant of a real matrix in band storage mode given the LU facto ...
LFDRG (DLFDRG) Compute the determinant of a real general matrix given the LU factorization of t ...
LFDRT (DLFDRT) Compute the determinant of a real triangular matrix.
LFDSF (DLFDSF) Compute the determinant of a real symmetric matrix given the U*D*transpose(U) fa ...
LFICB Use iterative refinement to improve the solution of a complex system of linear e ...
LFICG Use iterative refinement to improve the solution of a complex general system of ...
LFIDH Use iterative refinement to improve the solution of a complex Hermitian positive ...
LFIDS (DLFIDS) Use iterative refinement to improve the solution of a real symmetric positive de ...
LFIHF Use iterative refinement to improve the solution of a complex Hermitian system o ...
LFIQH Use iterative refinement to improve the solution of a complex Hermitian positive ...
LFIQS (DLFIQS) Use iterative refinement to improve the solution of a real symmetric positive de ...
LFIRB (DLFIRB) Use iterative refinement to improve the solution of a real system of linear equa ...
LFIRG (DLFIRG) Use iterative refinement to improve the solution of a real general system of lin ...
LFISF (DLFISF) Use iterative refinement to improve the solution of a real symmetric system of l ...
LFSCB Solve a complex system of linear equations given the LU factorization of the coe ...
LFSCG Solve a complex general system of linear equations given the LU factorization of ...
LFSDH Solve a complex Hermitian positive definite system of linear equations given the ...
LFSDS (DLFSDS) Solve a real symmetric positive definite system of linear equations given the tr ...
LFSHF Solve a complex Hermitian system of linear equations given the U*D*Hermite(U) fa ...
LFSQH Solve a complex Hermitian positive definite system of linear equations given the ...
LFSQS (DLFSQS) Solve a real symmetric positive definite system of linear equations given the fa ...
LFSRB (DLFSRB) Solve a real system of linear equations given the LU factorization of the coeffi ...
LFSRG (DLFSRG) Solve a real general system of linear equations given the LU factorization of th ...
LFSSF (DLFSSF) Solve a real symmetric system of linear equations given the U*D*transpose(U) fac ...
LFSXD (DLFSXD) Solve a real sparse symmetric positive definite system of linear equations, give ...
LFSXG (DLFSXG) Solve a sparse system of linear equations given the LU factorization of the coef ...
LFSZD (DLFSZD) Solve a complex sparse Hermitian positive definite system of linear equations, g ...
LFTCB Compute the LU factorization of a complex matrix in band storage mode.
LFTCG Compute the LU factorization of a complex general matrix.
LFTDH Compute the Hermite(R)*R factorization of a complex Hermitian positive definite ...
LFTDS (DLFTDS) Compute the transpose(R)*R Cholesky factorization of a real symmetric positive d ...
LFTHF Compute the U*D*Hermite(U) factorization of a complex Hermitian matrix.
LFTQH Compute the Hermite(R)*R factorization of a complex Hermitian positive definite ...
LFTQS (DLFTQS) Compute the transpose(R)*R Cholesky factorization of a real symmetric positive d ...
LFTRB (DLFTRB) Compute the LU factorization of a real matrix in band storage mode.
LFTRG (DLFTRG) Compute the LU factorization of a real general matrix.
LFTSF (DLFTSF) Compute the U*D*transpose(U) factorization of a real symmetric matrix.
LFTXG (DLFTXG) Compute the LU factorization of a real general sparse matrix.
LFTZG (DLFTZG) Compute the LU factorization of a complex general sparse matrix.
LINCG Compute the inverse of a complex general matrix.
LINCT Compute the inverse of a complex triangular matrix.
LINDS (DLINDS) Compute the inverse of a real symmetric positive definite matrix.
LINRG (DLINRG) Compute the inverse of a real general matrix.
LINRT (DLINRT) Compute the inverse of a real triangular matrix.
LNFXD (DLNFXD) Compute the numerical Cholesky factorization of a sparse symmetrical matrix A.
LNFZD (DLNFZD) Compute the numerical Cholesky factorization of a sparse Hermitian matrix A.
LQERR (DLQERR) Accumulate the orthogonal matrix Q from its factored form given the QR factoriza ...
LQRRR (DLQRRR) Compute the QR decomposition using Householder transformations.
LQRRV (DLQRRV) Compute the least-squares solution using Householder transformations applied in ...
LQRSL (DLQRSL) Compute the coordinate transformation, projection, and solution for the least sq ...
LSACB Solve a complex system of linear equations in band storage mode with iterative r ...
LSACG Solve a complex general system of linear equations with iterative refinement.
LSADH Solve a Hermitian positive definite system of linear equations with iterative re ...
LSADS (DLSADS) Solve a real symmetric positive definite system of linear equations with iterati ...
LSAHF Solve a complex Hermitian system of linear equations with iterative refinement.
LSAQH Solve a complex Hermitian positive definite system of linear equations in band H ...
LSAQS (DLSAQS) Solve a real symmetric positive definite system of linear equations in band symm ...
LSARB (DLSARB) Solve a real system of linear equations in band storage mode with iterative refi ...
LSARG (DLSARG) Solve a real general system of linear equations with iterative refinement.
LSASF (DLSASF) Solve a real symmetric system of linear equations with iterative refinement.
LSBRR (DLSBRR) Solve a linear least squares problem with iterative refinement.
LSGRR (DLSGRR) Compute the generalized inverse of a real matrix.
LSLCB Solve a complex system of linear equations in band storage mode without iterativ ...
LSLCC Solve a complex circulant linear system.
LSLCG Solve a complex general system of linear equations without iterative refinement.
LSLCQ (DLSLCQ) Compute the LDU factorization of a complex tridiagonal matrix A using a cyclic r ...
LSLCR (DLSLCR) Compute the LDU factorization of a real tridiagonal matrix A using a cyclic redu ...
LSLCT Solve a complex triangular system of linear equations.
LSLDH Solve a complex Hermitian positive definite system of linear equations without i ...
LSLDS (DLSLDS) Solve a real symmetric positive definite system of linear equations without iter ...
LSLHF Solve a complex Hermitian system of linear equations without iterative refinemen ...
LSLPB (DLSLPB) Compute the trans(R)*D*R Cholesky factorization of a real symmetric positive def ...
LSLQB (DLSLQB) Compute the ctrans(R)*D*R Cholesky factorization of a complex hermitian positive ...
LSLQH Solve a complex Hermitian positive definite system of linear equations in band H ...
LSLQS (DLSLQS) Solve a real symmetric positive definite system of linear equations in band symm ...
LSLRB (DLSLRB) Solve a real system of linear equations in band storage mode without iterative r ...
LSLRG (DLSLRG) Solve a real general system of linear equations without iterative refinement.
LSLRT (DLSLRT) Solve a real triangular system of linear equations.
LSLSF (DLSLSF) Solve a real symmetric system of linear equations without iterative refinement.
LSLTC Solve a complex Toeplitz linear system.
LSLTO (DLSLTO) Solve a real Toeplitz linear system.
LSLTQ (DLSLTQ) Solve a complex tridiagonal system of linear equations.
LSLTR (DLSLTR) Solve a real tridiagonal system of linear equations.
LSLXD (DLSLXD) Solve a sparse system of symmetric positive definite linear algebraic equations ...
LSLXG (DLSLXG) Solve a sparse system of linear algebraic equations by Gaussian elimination.
LSLZD (DLSLZD) Solve a complex sparse Hermitian positive definite system of linear equations by ...
LSLZG (DLSLZG) Solve a complex sparse system of linear equations by Gaussian elimination.
LSQRR (DLSQRR) Solve a linear least squares problem without iterative refinement.
LSVCR Compute the singular value decomposition of a complex matrix.
LSVRR (DLSVRR) Compute the singular value decomposition of a real matrix.
LUPCH (DLUPCH) Update the transpose(R)*R Cholesky factorization of a real symmetric positive de ...
LUPQR (DLUPQR) Compute an updated QR factorization after the rank-one matrix (alpha)x*transpose ...
MATCE (DMATCE) Evaluate a sequence of even, periodic, integer order, real Mathieu functions.
MATEE (DMATEE) Evaluate the eigenvalues for the periodic Mathieu functions.
MATSE (DMATSE) Evaluate a sequence of odd, periodic, integer order, real Mathieu functions.
MCRCR Multiply two complex rectangular matrices, AB.
MOLCH (DMOLCH) Solve a system of partial differential equations of the form UT = FCN(X, T, U, U ...
MRRRR (DMRRRR) Multiply two real rectangular matrices, AB.
MUCBV Multiply a complex band matrix in band storage mode by a complex vector.
MUCRV Multiply a complex rectangular matrix by a complex vector.
MURBV (DMURBV) Multiply a real band matrix in band storage mode by a real vector.
MURRV (DMURRV) Multiply a real rectangular matrix by a vector.
MXTXF (DMXTXF) Compute the transpose product of a matrix, transpose(A)*A.
MXTYF (DMXTYF) Multiply the transpose of matrix A by matrix B, transpose(A)*B.
MXYTF (DMXYTF) Multiply a matrix A by the transpose of a matrix B, A*transpose(B).
NCONF (DNCONF) Solve a general nonlinear programming problem using the successive quadratic pro ...
NCONG (DNCONG) Solve a general nonlinear programming problem using the successive quadratic pro ...
NDAYS Compute the number of days from January 1, 1900, to the given date.
NDYIN Give the date corresponding to the number of days since January 1, 1900.
NEQBF (DNEQBF) Solve a system of nonlinear equations using factored secant update with a finite ...
NEQBJ (DNEQBJ) Solve a system of nonlinear equations using factored secant update with a user-s ...
NEQNF (DNEQNF) Uses a modified Powell hybrid algorithm and a finite difference approximation to ...
NEQNJ (DNEQNJ) Solve a system of nonlinear equations using the Levenberg-Marquardt algorithm wi ...
NR1CB Compute the 1-norm of a complex band matrix in band storage mode.
NR1RB (DNR1RB) Compute the 1-norm of a real band matrix in band storage mode.
NR1RR (DNR1RR) Compute the 1-norm of a real matrix.
NR2RR (DNR2RR) Compute the Frobenius norm of a real rectangular matrix.
NRIRR (DNRIRR) Compute the infinity norm of a real matrix.
PCGRC (DPCGRC) Solve a real symmetric definite linear system using a preconditioned conjugate g ...
PERMA (DPERMA) Permute the rows or columns of a matrix.
PERMU (DPERMU) Rearrange the elements of an array as specified by a permutation.
PGOPT Set or retrieve page width and length for printing.
PLOTP (DPLOTP) Print a plot of up to ten sets of points.
POCH (DPOCH) Generalization of Pochhammer's symbol.
POCH1 (DPOCH1) Generalization of Pochhammer's symbol starting from first order.
POLRG (DPOLRG) Evaluate a real general matrix polynomial.
PP1GD (DPP1GD) Evaluate the derivative of a piecewise polynomial on a grid.
PPDER (DPPDER) Evaluate the derivative of a piecewise polynomial.
PPITG (DPPITG) Evaluate the integral of a piecewise polynomial.
PPVAL (DPPVAL) Evaluate a piecewise polynomial.
PRIME Decompose an integer into its prime factors.
PSI (DPSI) Logarithmic derivative of the gamma function.
QAND (DQAND) Integrate a function on a hyper-rectangle.
QCOSB (DQCOSB) Compute a sequence from its cosine Fourier coefficients with only odd wave numbe ...
QCOSF (DQCOSF) Compute the coefficients of the cosine Fourier transform with only odd wave numb ...
QD2DR (DQD2DR) Evaluate the derivative of a function defined on a rectangular grid using quadra ...
QD2VL (DQD2VL) Evaluate a function defined on a rectangular grid using quadratic interpolation.
QD3DR (DQD3DR) Evaluate the derivative of a function defined on a rectangular three-dimensional ...
QD3VL (DQD3VL) Evaluate a function defined on a rectangular three-dimensional grid using quadra ...
QDAG (DQDAG) Integrate a function using a globally adaptive scheme based on Gauss-Kronrod rul ...
QDAGI (DQDAGI) Integrate a function over an infinite or semi-infinite interval.
QDAGP (DQDAGP) Integrate a function with singularity points given.
QDAGS (DQDAGS) Integrate a function (which may have endpoint singularities).
QDAWC (DQDAWC) Integrate a function F(X)/(X-C) in the Cauchy principal value sense.
QDAWF (DQDAWF) Compute a Fourier integral.
QDAWO (DQDAWO) Integrate a function containing a sine or a cosine.
QDAWS (DQDAWS) Integrate a function with algebraic-logarithmic singularities.
QDDER (DQDDER) Evaluate the derivative of a function defined on a set of points using quadratic ...
QDNG (DQDNG) Integrate a smooth function using a nonadaptive rule.
QDVAL (DQDVAL) Evaluate a function defined on a set of points using quadratic interpolation.
QPROG (DQPROG) Solve a quadratic programming problem subject to linear equality/inequality cons ...
QSINB (DQSINB) Compute a sequence from its sine Fourier coefficients with only odd wave numbers ...
QSINF (DQSINF) Compute the coefficients of the sine Fourier transform with only odd wave number ...
RATCH (DRATCH) Compute a rational weighted Chebyshev approximation to a continuous function on ...
RCONV (DRCONV) Compute the convolution of two real vectors.
RCORL (DRCORL) Compute the correlation of two real vectors.
RECCF (DRECCF) Compute recurrence coefficients for various monic polynomials.
RECQR (DRECQR) Compute recurrence coefficients for monic polynomials given a quadrature rule.
RLINE (DRLINE) Fit a line to a set of data points using least squares.
RNGET Retrieve the current value of the seed used in the IMSL random number generators ...
RNOPT Select the uniform (0,1) multiplicative congruential pseudorandom number generat ...
RNSET Initialize a random seed for use in the IMSL random number generators.
RNUN (DRNUN) Generate pseudorandom numbers from a uniform (0,1) distribution.
RNUNF (DRNUNF) Generate a pseudorandom number from a uniform (0,1) distribution.
SADD (DADD) Add a scalar to each component of a vector, x = x + a, all single precision.
SASUM (DASUM) Sum the absolute values of the components of a single precision vector.
SAXPY (DAXPY) Compute the scalar times a vector plus a vector, y = ax + y, all single precisio ...
SCASUM Sum the absolute values of the real part together with the absolute values of th ...
SCNRM2 Compute the Euclidean norm of a complex vector.
SCOPY (DCOPY) Copy a vector X to a vector Y, both single precision.
SDDOTA (DQDOTA) Compute the sum of a single-precision scalar, a single-precision dot product and ...
SDDOTI (DQDOTI) Compute the sum of a single-precision scalar plus a single-precision dot product ...
SDOT (DDOT) Compute the single-precision dot product x*y.
SDSDOT (DQDDOT) Compute the sum of a single-precision scalar and a single-precision dot product, ...
SGBMV (DGBMV) Perform one of the matrix-vector operations: y = alpha*A*x + beta*y or y = alpha ...
SGEMM Perform one of the following matrix-matrix multiplications: C = alpha*A*B + beta ...
SGEMV Perform one of the matrix-vector multiplications: y = alpha*A*x + beta*y y = alp ...
SGER Perform the rank-one matrix update: A = alpha*x*trans(y) + A, where trans(y) is ...
SHI (DSHI) Hyperbolic sine integral.
SHPROD (DHPROD) Compute the Hadamard product of two single precision vectors.
SI (DSI) Sine integral.
SINDG (DSINDG) Sin(x), x in degrees.
SINLP (DSINLP) Compute the inverse Laplace transform of a complex function.
SNRM2 (DNRM2) Compute the Euclidean length or L2 norm of a single precision vector, without un ...
SPENC (DSPENC) Evaluate Spence's integral, see [AMS55 (27.7.1)].
SPLEZ (DSPLEZ) Compute the values of a spline that either interpolates or fits user-supplied da ...
SPRDCT (DPRDCT) Multiply the components of a single precision vector.
SRCH (DSRCH) Search a sorted vector for a given scalar and return its index.
SROT (DROT) Apply Givens plane rotation to a single precision vector.
SROTG (DROTG) Construct Givens plane rotation of a single precision matrix.
SROTM (DROTM) Apply modified Givens plane rotation to single precision vector.
SROTMG (DROTMG) Construct modified Givens plane rotation of a single precision matrix.
SSBMV (DSBMV) Perform the matrix-vector operation y = alpha*A*x + beta*y, where A is a symmetr ...
SSCAL (DSCAL) Multiply a vector by a scalar, y =ay, both single precision.
SSET (DSET) Set the components of a vector to a scalar, all single precision.
SSRCH Search a character vector, sorted in ascending ASCII order, for a given string a ...
SSUB (DSUB) Subtract each component of a vector from a scalar, x = a - x, all single precisi ...
SSUM (DSUM) Sum the values of a single precision vector.
SSWAP (DSWAP) Interchange vectors X and Y, both single precision.
SSYMM (DSYMM) Performs one of the matrix-matrix operations: C = alpha*A*B + beta*C, or C = alp ...
SSYMV (DSYMV) Perform the matrix-vector multiplication: y = alpha*A*x + beta*y, where A is a s ...
SSYR (DSYR) Perform the rank-one symmetric matrix update A = A + alpha*x*trans(x), where A i ...
SSYR2 (DSYR2) Perform the rank-two symmetric matrix update A = A + alpha*x*trans(y) + alpha*y* ...
SSYR2K (DSYR2K) Performs one of the symmetric rank 2k operations C = alpha*A*trans(B) + alpha*B* ...
SSYRK (DSYRK) Performs one of the symmetric rank k operations C = alpha*A*trans(A) + beta*C, o ...
STBMV (DTBMV) Perform one of the matrix-vector operations: x = A*x, or x = trans(A)*x, where A ...
STBSV (DTBSV) Solve one of the triangular systems, x = inv(A)*x, or x = inv(trans(A))*x, where ...
STRMM (DTRMM) Performs one of the matrix-matrix operations: B = alpha*op( A )*B, or B = alpha* ...
STRMV (DTRMV) Perform one of the matrix-vector operations: x = A*x, or x = trans(A)*x, where A ...
STRSV (DTRSV) Solve one of the triangular systems, x = inv(A)*x, or x = inv(trans(A))*x, where ...
SUMAG This routine handles MATH/LIBRARY and STAT/LIBRARY type SINGLE PRECISION options ...
SURF (DSURF) Compute a smooth bivariate interpolant to scattered data which is locally a quin ...
SVCAL (DVCAL) Multiply a vector by a scalar and store the result in another vector, y = ax, al ...
SVIBN Sort an integer array by absolute values.
SVIBP Sort an integer array by absolute values and return a pointer array.
SVIGN Sort an integer array by algebraic values.
SVIGP Sort an integer array by algebraic values and return a pointer array.
SVRBN (DSVRBN) Sort a real array by absolute values.
SVRBP (DSVRBP) Sort a real array by absolute values and return a pointer array.
SVRGN (DSVRGN) Sort a real array by algebraic values.
SVRGP (DSVRGP) Sort a real array by algebraic values and return a pointer array.
SXYZ (DXYZ) Compute a single precision XYZ product.
TDATE Get today's date.
TIMDY Get time of day.
TRNRR (DTRNRR) Transpose a rectangular matrix.
TWODQ (DTWODQ) Compute a two-dimensional iterated integral using internal calls to a one dimens ...
UMACH Set or retrieve input or output device unit numbers.
UMCGF (DUMCGF) Minimize a function of N variables using a conjugate gradient algorithm and a fi ...
UMCGG (DUMCGG) Minimize a function of N variables using a conjugate gradient algorithm and a us ...
UMIAH (DUMIAH) Minimize a function of N variables using a modified Newton method and a user-sup ...
UMIDH (DUMIDH) Minimize a function of N variables using a modified Newton method and a finite-d ...
UMINF (DUMINF) Minimize a function of N variables using a quasi-Newton method and a finite-diff ...
UMING (DUMING) Minimize a function of N variables using a quasi-Newton method and a user-suppli ...
UMPOL (DUMPOL) Minimize a function of N variables using a direct search polytope algorithm.
UNLSF (DUNLSF) Solve a nonlinear least squares problem using a modified Levenberg-Marquardt alg ...
UNLSJ (DUNLSJ) Solve a nonlinear least squares problem using a modified Levenberg-Marquardt alg ...
UVMGS (DUVMGS) Find the minimum point of a nonsmooth function of a single variable.
UVMID (DUVMID) Find the minimum point of a smooth function of a single variable using both func ...
UVMIF (DUVMIF) Find the minimum point of a smooth function of a single variable using only func ...
VCONC Compute the convolution of two complex vectors.
VCONR Compute the convolution of two real vectors.
WRCRL Print a complex rectangular matrix with a given format and labels.
WRCRN Print a complex rectangular matrix with integer row and column labels.
WRIRL Print an integer rectangular matrix with a given format and labels.
WRIRN Print an integer rectangular matrix with integer row and column labels.
WROPT Set or retrieve an option for printing a matrix.
WRRRL (DWRRRL) Print a real rectangular matrix with a given format and labels.
WRRRN (DWRRRN) Print a real rectangular matrix with integer row and column labels.
ZANLY Finds a zero of a univariate analytic function.
ZBREN (DZBREN) Finds a zero of a function which changes sign in a given interval.
ZGBMV (CGBMV) Perform one of the matrix-vector operations: y = alpha*A*x + beta*y, y = alpha*t ...
ZGEMM (CGEMM) Perform one of the following matrix-matrix multiplications: C=alpha*A*B + beta*C ...
ZGEMV (CGEMV) Perform one of the matrix-vector multiplications: y = alpha*A*x + beta*y y = alp ...
ZGERC (CGERC) Perform the rank-one matrix update: A = A + alpha*x*ctrans(y), where ctrans(y) i ...
ZGERU (CGERU) Perform the rank-one matrix update: A = A + alpha*x*trans(y), where trans(y) is ...
ZHBMV (CHBMV) Perform the matrix-vector operation y = alpha*A*x + beta*y, where A is a Hermiti ...
ZHEMM (CHEMM) Performs one of the matrix-matrix operations: C = alpha*A*B + beta*C, or C = alp ...
ZHEMV (CHEMV) Perform the matrix-vector multiplication y = alpha*A*x + beta*y, where A is a He ...
ZHER (CHER) Perform the rank-one matrix update A = A + alpha*x*ctrans(x) to the Hermitian ma ...
ZHER2 (CHER2) Perform a rank-two matrix update to the Hermitian matrix A, A = A + alpha*x*ctra ...
ZHER2K (CHER2K) Performs one of the Hermitian rank 2k operations C = alpha*A*ctrans( B ) + conjg ...
ZHERK (CHERK) Performs one of the Hermitian rank k operations C = alpha*A*ctrans( A ) + beta*C ...
ZPLRC Find the zeros of a polynomial with real coefficients using Laguerre's method.
ZPOCC Finds the zeros of a polynomial with complex coefficients.
ZPORC Find the zeros of a polynomial with real coefficients using the Jenkins-Traub th ...
ZREAL (DZREAL) Finds a real zero of a real function.
ZSYMM (CSYMM) Performs one of the matrix-matrix operations: C = alpha*A*B + beta*C, or C = alp ...
ZSYR2K (CSYR2K) Performs one of the symmetric rank 2k operations C = alpha*A*trans(B) + alpha*B* ...
ZSYRK (CSYRK) Performs one of the symmetric rank k operations C = alpha*A*trans(A) + beta*C, o ...
ZTBMV (CTBMV) Perform one of the matrix-vector operations: x = A*x, x = trans(A)*x, x = ctrans ...
ZTBSV (CTBSV) Solve one of the triangular systems, x = inv(A)*x, x = inv(trans(A))*x, x = inv( ...
ZTRMM (CTRMM) Performs one of the matrix-matrix operations: B = alpha*op( A )*B, or B = alpha* ...
ZTRMV (CTRMV) Perform one of the matrix-vector operations: x = A*x, x = trans(A)*x, or x = ctr ...
ZTRSM (CTRSM) Solves one of the matrix equations: op( A )*X = alpha*B, or X*op( A ) = alpha*B, ...
ZTRSV (CTRSV) Solve one of the triangular systems, x = inv(A)*x, x = inv(trans(A))*x, or x = i ...

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Nam Sun Wang

Department of Chemical & Biomolecular Engineering

University of Maryland

College Park, MD 20742-2111

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