• 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

• 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

• 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 IMSLS

• ABALD (DABALD) Analyze a balanced complete experimental design for a fixed, random, or mixed mo ...
• ABIBD (DABIBD) Analyze a balanced incomplete block design or a balanced lattice design.
• ACF (DACF) Compute the sample autocorrelation function of a stationary time series.
• ACHAR Return the character whose ASCII value is the input integer argument.
• ACTBL (DACTBL) Produce population and cohort life tables.
• AKS1DF (DKS1DF) Evaluate the distribution function of the one-sided Kolmogorov-Smirnov goodness ...
• AKS2DF (DKS2DF) Evaluate the distribution function of the Kolmogorov-Smirnov goodness of fit D t ...
• ALATN (DALATN) Analyze a Latin square design.
• AMACH (DMACH) Retrieve single-precision machine constants.
• AMILLR (DMILLR) Evaluate Mill's ratio (the ratio of the ordinate to the upper tail area of the s ...
• ANEST (DANEST) Analyze a completely nested random model with possibly unequal numbers in the su ...
• ANORDF (DNORDF) Normal (Gaussian) distribution function.
• ANORIN (DNORIN) Inverse of the normal (Gaussian) distribution function.
• ANWAY (DANWAY) Analyze a balanced n-way classification model with fixed effects.
• AONEC (DAONEC) Analyze a one-way classification model with covariates.
• AONEW (DAONEW) Analyze a one-way classification model.
• ARMME (DARMME) Compute method of moments estimates of the autoregressive parameters of an ARMA ...
• ATWOB (DATWOB) Analyze a randomized block design or a two-way balanced design.
• BCTR (DBCTR) Perform a forward or an inverse Box-Cox (power) transformation.
• BETA (DBETA) Complete beta function.
• BETDF (DBETDF) Beta probability distribution function.
• BETIN (DBETIN) Inverse of the beta distribution function.
• BHAKV (DBHAKV) Perform a Bhapkar V test.
• BINDF (DBINDF) Evaluate the binomial distribution function.
• BINES (DBINES) Estimate the parameter p of the binomial distribution.
• BINOM (DBINOM) Binomial coefficient. Input is integer, output is real.
• BINPR (DBINPR) Evaluate the binomial probability function.
• BLINF (DBLINF) Compute the bilinear mode transpose(x)*A*y.
• BNRDF (DBNRDF) Evaluate the bivariate normal distribution function.
• BOXP (DBOXP) Print boxplots for one or more samples.
• BSCAT (DBSCAT) Compute the biserial correlation coefficient for a dichotomous variable and a cl ...
• BSPBS (DBSPBS) Compute the biserial and point-biserial correlation coefficients for a dichotomo ...
• CADD Add a scalar to each component of a vector, x = x + a, all complex.
• CANCR (DCANCR) Perform canonical correlation analysis from a data matrix.
• CANVC (DCANVC) Perform canonical correlation analysis from a variance-covariance matrix or a co ...
• CAXPY Compute a scalar times a vector plus a vector, y = ax + y, all complex.
• CCF (DCCF) Compute the sample cross-correlation function of two stationary time series.
• CCOPY Copy a vector X to a vector Y, both complex.
• CDF2P (DCDF2P) Print a plot of two sample cumulative distribution functions.
• CDFP (DCDFP) Print a sample cumulative distribution function (CDF), a theoretical CDF, and co ...
• CDIST (DCDIST) Compute a matrix of dissimilarities (or similarities) between the columns (or ro ...
• CDOTC Compute the complex conjugate dot product, conjg(x)*y.
• CDOTU Compute the complex dot product x*y.
• 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 ...
• 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 ...
• CHFAC (DCHFAC) Compute an upper triangular factorization of a real symmetric nonnegative defini ...
• CHIDF (DCHIDF) Chi-squared distribution function.
• CHIGF (DCHIGF) Perform a chi-squared goodness of fit test.
• CHIIN (DCHIIN) Inverse of the chi-squared distribution function.
• CIDMS (DCIDMS) Compute a confidence interval on a variance component estimated as proportional ...
• CLINK (DCLINK) Perform a hierarchical cluster analysis given a distance matrix.
• CNCRD (DCNCRD) Calculate and test the significance of the Kendall coefficient of concordance.
• CNUMB Compute cluster membership for a hierarchical cluster tree.
• CORVC (DCORVC) Compute the variance-covariance or correlation matrix.
• CPFFT Compute the cross periodogram of two stationary time series using a fast Fourier ...
• CPSEC Return CPU time used in seconds.
• CSCAL Multiply a vector by a scalar, y = ay, both complex.
• CSET Set the components of a vector to a scalar, all complex.
• CSNDF (DCSNDF) Evaluate the noncentral chi-squared distribution function.
• CSNIN (DCSNIN) Evaluate the inverse of the noncentral chi-squared function.
• 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.
• CSSWD Estimate the nonnormalized cross-spectral density of two stationary time series ...
• CSSWP (DCSSWP) Estimate the nonnormalized cross-spectral density of two stationary time series ...
• CSTAT (DCSTAT) Compute cell frequencies, cell means, and cell sums of squares for multivariate ...
• CSUB Subtract each component of a vector from a scalar, x = a - x, all complex.
• 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 ...
• 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( ...
• CTCHI (DCTCHI) Perform a chi-squared analysis of a two-way contingency table.
• CTPRB (DCTPRB) Compute exact probabilities in a two-way contingency table.
• CTRHO (DCTRHO) Estimate the bivariate normal correlation coefficient using a contingency table.
• 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, ...
• CTRST (DCTRST) Compute contrast estimates and sums of squares.
• CTRSV (ZTRSV) Solve one of the triangular systems, x = inv(A)*x, x = inv(trans(A))*x, or x = i ...
• CTTWO (DCTTWO) Perform a chi-squared analysis of a 2-by-2 contingency table.
• 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 ...
• 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 ...
• DABALD (ABALD) Analyze a balanced complete experimental design for a fixed, random, or mixed mo ...
• DABIBD (ABIBD) Analyze a balanced incomplete block design or a balanced lattice design.
• DACF (ACF) Compute the sample autocorrelation function of a stationary time series.
• DACTBL (ACTBL) Produce population and cohort life tables.
• DADD (SADD) Add a scalar to each component of a vector, x = x + a, all single precision.
• DALATN (ALATN) Analyze a Latin square design.
• DANEST (ANEST) Analyze a completely nested random model with possibly unequal numbers in the su ...
• DANWAY (ANWAY) Analyze a balanced n-way classification model with fixed effects.
• DAONEC (AONEC) Analyze a one-way classification model with covariates.
• DAONEW (AONEW) Analyze a one-way classification model.
• DARMME (ARMME) Compute method of moments estimates of the autoregressive parameters of an ARMA ...
• DASUM (SASUM) Compute double precision sum of absolute values of a single precision vector.
• DATWOB (ATWOB) Analyze a randomized block design or a two-way balanced design.
• DAXPY (SAXPY) Compute the scalar times a vector plus a vector, y = ax + y, all double precisio ...
• DBCTR (BCTR) Perform a forward or an inverse Box-Cox (power) transformation.
• DBETA (BETA) Complete beta function.
• DBETDF (BETDF) Beta probability distribution function.
• DBETIN (BETIN) Inverse of the beta distribution function.
• DBHAKV (BHAKV) Perform a Bhapkar V test.
• DBINDF (BINDF) Evaluate the binomial distribution function.
• DBINES (BINES) Estimate the parameter p of the binomial distribution.
• DBINOM (BINOM) Binomial coefficient. Input is integer, output is double precision real.
• DBINPR (BINPR) Evaluate the binomial probability function.
• DBLINF (BLINF) Compute the bilinear mode transpose(x)*A*y.
• DBNRDF (BNRDF) Evaluate the bivariate normal distribution function.
• DBOXP (BOXP) Print boxplots for one or more samples.
• DBSCAT (BSCAT) Compute the biserial correlation coefficient for a dichotomous variable and a cl ...
• DBSPBS (BSPBS) Compute the biserial and point-biserial correlation coefficients for a dichotomo ...
• DCANCR (CANCR) Perform canonical correlation analysis from a data matrix.
• DCANVC (CANVC) Perform canonical correlation analysis from a variance-covariance matrix or a co ...
• DCCF (CCF) Compute the sample cross-correlation function of two stationary time series.
• DCDF2P (CDF2P) Print a plot of two sample cumulative distribution functions.
• DCDFP (CDFP) Print a sample cumulative distribution function (CDF), a theoretical CDF, and co ...
• DCDIST (CDIST) Compute a matrix of dissimilarities (or similarities) between the columns (or ro ...
• DCHFAC (CHFAC) Compute an upper triangular factorization of a real symmetric nonnegative defini ...
• DCHIDF (CHIDF) Chi-squared distribution function.
• DCHIGF (CHIGF) Perform a chi-squared goodness of fit test.
• DCHIIN (CHIIN) Inverse of the chi-squared distribution function.
• DCIDMS (CIDMS) Compute a confidence interval on a variance component estimated as proportional ...
• DCLINK (CLINK) Perform a hierarchical cluster analysis given a distance matrix.
• DCNCRD (CNCRD) Calculate and test the significance of the Kendall coefficient of concordance.
• DCOPY (SCOPY) Copy a vector X to a vector Y, both double precision.
• DCORVC (CORVC) Compute the variance-covariance or correlation matrix.
• DCSNDF (CSNDF) Evaluate the noncentral chi-squared distribution function.
• DCSNIN (CSNIN) Evaluate the inverse of the noncentral chi-squared function.
• DCSSWP (CSSWP) Estimate the nonnormalized cross-spectral density of two stationary time series ...
• DCSTAT (CSTAT) Compute cell frequencies, cell means, and cell sums of squares for multivariate ...
• DCTCHI (CTCHI) Perform a chi-squared analysis of a two-way contingency table.
• DCTPRB (CTPRB) Compute exact probabilities in a two-way contingency table.
• DCTRHO (CTRHO) Estimate the bivariate normal correlation coefficient using a contingency table.
• DCTRST (CTRST) Compute contrast estimates and sums of squares.
• DCTTWO (CTTWO) Perform a chi-squared analysis of a 2-by-2 contingency table.
• DCUBE (DDCUBE) Perform a triplets test.
• DDCUBE (DCUBE) Perform a triplets test.
• DDESKN (DESKN) Perform nonparametric probability density function estimation by the kernel meth ...
• DDESPL (DESPL) Perform nonparametric probability density function estimation by the penalized l ...
• DDESPT (DESPT) Estimate a probability density function at specified points using linear or cubi ...
• DDIFF (DIFF) Difference a time series.
• DDIRIC (DIRIC) Compute the Dirichlet kernel.
• DDMSCR (DMSCR) Use Fisher's linear discriminant analysis method to reduce the number of variabl ...
• DDNFFT (DNFFT) Compute Gaussian kernel estimates of a univariate density via the fast Fourier t ...
• DDOT (SDOT) Compute double precision dot product x*y.
• DDSCRM (DSCRM) Perform a linear or a quadratic discriminant function analysis among several kno ...
• DDSQAR (DSQAR) Perform a D-square test.
• DENOS (ENOS) Evaluate the expected value of a normal order statistic.
• DEPISF (EPISF) Compute the performance index for a real symmetric eigensystem.
• DESKN (DDESKN) Perform nonparametric probability density function estimation by the kernel meth ...
• DESPL (DDESPL) Perform nonparametric probability density function estimation by the penalized l ...
• DESPT (DDESPT) Estimate a probability density function at specified points using linear or cubi ...
• DEVCSF (EVCSF) Compute all of the eigenvalues and eigenvectors of a real symmetric matrix.
• DFACTR (FACTR) Extract initial factor loading estimates in factor analysis.
• DFCOEF (FCOEF) Compute a matrix of factor score coefficients for input to IMSL routine FSCOR.
• DFDF (FDF) Evaluate the F distribution function.
• DFDOBL (FDOBL) Compute a direct oblimin rotation of a factor loading matrix.
• DFEJER (FEJER) Compute the Fejer kernel.
• DFFTRB (FFTRB) Compute the real periodic sequence from its Fourier coefficients.
• DFFTRF (FFTRF) Compute the Fourier coefficients of a real periodic sequence.
• DFGCRF (FGCRF) Compute direct oblique rotation according to a generalized fourth-degree polynom ...
• DFHARR (FHARR) Compute an oblique rotation of an unrotated factor loading matrix using the Harr ...
• DFIMAG (FIMAG) Compute the image transformation matrix.
• DFIN (FIN) Evaluate the inverse of the F distribution function.
• DFOPCS (FOPCS) Compute an orthogonal Procrustes rotation of a factor loading matrix using a tar ...
• DFPRMX (FPRMX) Compute an oblique Promax or Procrustes rotation of a factor loading matrix usin ...
• DFRDMN (FRDMN) Perform Friedman's test for a randomized complete block design.
• DFREQ (FREQ) Tally multivariate observations into a multi-way frequency table.
• DFRESI (FRESI) Compute communalities and the standardized factor residual correlation matrix.
• DFROTA (FROTA) Compute an orthogonal rotation of a factor loading matrix using a generalized or ...
• DFRVAR (FRVAR) Compute the factor structures and the variance explained by each factor.
• DFSCOR (FSCOR) Compute a set of factor scores given the factor score coefficient matrix.
• DGAMDF (GAMDF) Gamma distribution function.
• DGAMIN (GAMIN) Evaluate the inverse of the gamma distribution function.
• DGAMMA (GAMMA) gamma(x), for double precision x.
• DGBMV (SGBMV) Perform one of the matrix-vector operations: y = alpha*A*x + beta*y or y = alpha ...
• DGCDF (GCDF) Evaluate a general continuous cumulative distribution function given ordinates o ...
• DGCSCP (GCSCP) Generate centered variables, squares, and crossproducts.
• DGDATA (GDATA) Retrieves one of several data sets frequently cited in the statistical literatur ...
• 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 ...
• DGFNIN (GFNIN) Evaluate the inverse of a general continuous cumulative distribution function gi ...
• DGIRTS (GIRTS) Solve a triangular (possibly singular) set of linear systems and/or compute a ge ...
• DGRPES (GRPES) Compute basic statistics from grouped data.
• DGVLSP (GVLSP) Compute all of the eigenvalues of the generalized real symmetric eigenvalue prob ...
• DHAZEZ (HAZEZ) Perform nonparametric hazard rate estimation using kernel functions. Easy-to-use ...
• DHAZRD (HAZRD) Perform nonparametric hazard rate estimation using kernel functions and quasi-li ...
• DHAZST (HAZST) Perform hazard rate estimation over a grid of points using a kernel function.
• DHHSTP (HHSTP) Print a horizontal histogram.
• DHPROD (SHPROD) Compute the Hadamard product of two single precision vectors.
• DHYPDF (HYPDF) Evaluate the hypergeometric distribution function.
• DHYPPR (HYPPR) Evaluate the hypergeometric probability function.
• DIFF (DDIFF) Difference a time series.
• DINCLD (INCLD) Perform an includance test.
• DIRIC (DDIRIC) Compute the Dirichlet kernel.
• DIRNSE (IRNSE) Compute estimates of the impulse response weights and noise series of a univaria ...
• DKALMN (KALMN) Perform Kalman filtering and evaluate the likelihood function for the state-spac ...
• DKAPMR (KAPMR) Compute Kaplan-Meier estimates of survival probabilities in stratified samples.
• DKENDL (KENDL) Compute and test Kendall's rank correlation coefficient.
• DKENDP (KENDP) Compute the frequency distribution of the total score in Kendall's rank correlat ...
• DKMEAN (KMEAN) Perform a K-means (centroid) cluster analysis.
• DKPRIN (KPRIN) Maximum likelihood or least-squares estimates for principal components from one ...
• DKRSKL (KRSKL) Perform a Kruskal-Wallis test for identical population medians.
• DKS1DF (AKS1DF) Evaluate the distribution function of the one-sided Kolmogorov-Smirnov goodness ...
• DKS2DF (AKS2DF) Evaluate the distribution function of the Kolmogorov-Smirnov goodness of fit D t ...
• DKSONE (KSONE) Perform a Kolmogorov-Smirnov one-sample test for continuous distributions.
• DKSTWO (KSTWO) Perform a Kolmogorov-Smirnov two-sample test.
• DKTBLE (KTBLE) Print Kaplan-Meier estimates of survival probabilities in stratified samples.
• DKTRND (KTRND) Perform K-sample trends test against ordered alternatives.
• DLETTR (LETTR) Produce a letter value summary.
• DLFDRG (LFDRG) Compute the determinant of a real general matrix given the LU factorization of t ...
• DLFSRG (LFSRG) Solve a real general system of linear equations given the LU factorization of th ...
• DLFTRG (LFTRG) Compute the LU factorization of a real general matrix.
• DLINRG (LINRG) Compute the inverse of a real general matrix.
• DLSBRR (LSBRR) Solve a linear least squares problem with iterative refinement.
• DLSGRR (LSGRR) Compute the generalized inverse of a real matrix.
• DLSLRG (LSLRG) Solve a real general system of linear equations without iterative refinement.
• DLSQRR (LSQRR) Solve a linear least squares problem without iterative refinement.
• DLSVRR (LSVRR) Compute the singular value decomposition of a real matrix.
• DMACH (AMACH) Retrieve single-precision machine constants.
• DMAMME (MAMME) Compute method of moments estimates of the moving average parameters of an ARMA ...
• DMCCF (MCCF) Compute the multichannel cross-correlation function of two mutually stationary m ...
• DMCHOL (MCHOL) Compute a modified Cholesky factorization of a real symmetric matrix A. Specific ...
• DMEDPL (MEDPL) Compute a median polish of a two-way table.
• DMILLR (AMILLR) Evaluate Mill's ratio (the ratio of the ordinate to the upper tail area of the s ...
• DMLSE (MLSE) Compute least squares estimates of a linear regression model for a multichannel ...
• DMRRRR (MRRRR) Multiply two real rectangular matrices, A*B.
• DMSCR (DDMSCR) Use Fisher's linear discriminant analysis method to reduce the number of variabl ...
• DMSDBL (MSDBL) Obtain normalized product-moment (double centered) matrices from dissimilarity m ...
• DMSDST (MSDST) Compute distances in a multidimensional scaling model.
• DMSIDV (MSIDV) Perform individual-differences multidimensional scaling for metric data using al ...
• DMSINI (MSINI) Compute initial estimates in multidimensional scaling models.
• DMSSTN (MSSTN) Transform dissimilarity/similarity matrices and replace missing values by estima ...
• DMSTRS (MSTRS) Compute various stress criteria in multidimensional scaling.
• DMVIND (MVIND) Compute a test for the independence of K sets of multivariate normal variables.
• DMVNAN (MVNAN) Move any rows of a matrix with the IMSL missing value code NaN (not a number) in ...
• DMWFE (MWFE) Compute least squares estimates of the multichannel Wiener filter coefficients f ...
• 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.
• DNCTRD (NCTRD) Perform the Noether test for cyclical trend.
• DNFFT (DDNFFT) Compute Gaussian kernel estimates of a univariate density via the fast Fourier t ...
• DNGHBR (NGHBR) Search a k-d tree for the k nearest neighbors of a key.
• DNNBRD (NNBRD) K nearest neighbor discrimination.
• DNORDF (ANORDF) Normal (Gaussian) distribution function.
• DNORIN (ANORIN) Inverse of the normal (Gaussian) distribution function.
• DNRCES (NRCES) Compute maximum likelihood estimates of the mean and variance from grouped and/o ...
• DNRM2 (SNRM2) Compute the Euclidean length or L2 norm of a single-precision vector.
• DNSBJF (NSBJF) Compute Box-Jenkins forecasts and their associated probability limits for a nons ...
• DNSLSE (NSLSE) Compute least squares estimates of parameters for a nonseasonal ARMA model.
• DNSPE (NSPE) Compute preliminary estimates of the autoregressive and moving average parameter ...
• DNTIES (NTIES) Compute tie statistics for a sample of observations.
• DOPOLY (OPOLY) Generate orthogonal polynomials with respect to a specified interval and weights ...
• DOWFRQ (OWFRQ) Tally observations into a one-way frequency table.
• DPACF (PACF) Compute the sample partial autocorrelation function of a stationary time series.
• DPAIRS (PAIRS) Perform a pairs test.
• DPERMA (PERMA) Permute the rows or columns of a matrix.
• DPERMU (PERMU) Rearrange the elements of an array as specified by a permutation.
• DPHGLM (PHGLM) Analyze time event data via the proportional hazards model.
• DPLOTP (PLOTP) Print a plot of up to ten sets of points.
• DPOIDF (POIDF) Evaluate the Poisson distribution function.
• DPOIES (POIES) Estimate the parameter of the Poisson distribution.
• DPOIPR (POIPR) Evaluate the Poisson probability function.
• DPRDCT (SPRDCT) Multiply the components of a single precision vector.
• DPRINC (PRINC) Compute principal components from a variance-covariance matrix or a correlation ...
• DPROBP (PROBP) Prints a probability plot of data against a normal, lognormal, half-normal, expo ...
• DPRPFT (PRPFT) Perform iterative proportional fitting of a contingency table using a loglinear ...
• DQDAGS (QDAGS) Integrate a function (which may have endpoint singularities).
• DQDDOT (SDSDOT) Compute the sum of a double-precision scalar and a double-precision dot product, ...
• 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 ...
• DQTEST (QTEST) Perform a Cochran Q test for related observations.
• DQUADT (QUADT) Form a k-d tree.
• DRANKS (RANKS) Compute the ranks, normal scores, or exponential scores for a vector of observat ...
• DRBEST (RBEST) Select the best multiple linear regression models.
• DRCASE (RCASE) Compute case statistics and diagnostics given data points, coefficient estimates ...
• DRCASP (RCASP) Compute case statistics for a polynomial regression model given the fit based on ...
• DRCOMP (RCOMP) Generate an orthogonal central composite design.
• DRCOV (RCOV) Fit a multiple linear regression model given the variance-covariance matrix.
• DRCOVB (RCOVB) Compute the estimated variance-covariance matrix of the estimated regression coe ...
• DRCURV (RCURV) Fit a polynomial curve using least squares.
• DRFORP (RFORP) Fit an orthogonal polynomial regression model.
• DRGIVN (RGIVN) Fit a multivariate linear regression model via fast Givens transformations.
• DRGLM (RGLM) Fit a multivariate general linear model.
• DRINCF (RINCF) Perform response control given a fitted simple linear regression model.
• DRINPF (RINPF) Perform inverse prediction given a fitted simple linear regression model.
• DRLAV (RLAV) Fit a multiple linear regression model using the least absolute values criterion ...
• DRLEQU (RLEQU) Fit a multivariate linear regression model with linear equality restrictions H*B ...
• DRLINE (RLINE) Fit a line to a set of data points using least squares.
• DRLMV (RLMV) Fit a multiple linear regression model using the minimax criterion.
• DRNARM (RNARM) Generate a time series from a specified ARMA model.
• DRNBET (RNBET) Generate pseudorandom numbers from a beta distribution.
• DRNCHI (RNCHI) Generate pseudorandom numbers from a chi-squared distribution.
• DRNCHY (RNCHY) Generate pseudorandom numbers from a Cauchy distribution.
• DRNCOR (RNCOR) Generate a pseudorandom orthogonal matrix or a correlation matrix.
• DRNDAT (RNDAT) Generate pseudorandom numbers from a multivariate distribution determined from a ...
• DRNEXP (RNEXP) Generate pseudorandom numbers from a standard exponential distribution.
• DRNEXT (RNEXT) Generate pseudorandom numbers from a mixture of two exponential distributions.
• DRNGAM (RNGAM) Generate pseudorandom numbers from a standard gamma distribution.
• DRNGCS (RNGCS) Set up table to generate pseudorandom numbers from a general continuous distribu ...
• DRNGCT (RNGCT) Generate pseudorandom numbers from a general continuous distribution.
• DRNGDA (RNGDA) Generate pseudorandom numbers from a general discrete distribution using an alia ...
• DRNGDS (RNGDS) Set up table to generate pseudorandom numbers from a general discrete distributi ...
• DRNGDT (RNGDT) Generate pseudorandom numbers from a general discrete distribution using a table ...
• DRNGEF (RNGEF) Retrieve the current value of the array used in the IMSL GFSR random number gene ...
• DRNGES (RNGES) Retrieve the current value of the table in the IMSL random number generators tha ...
• DRNISD (RNISD) Determine a seed that yields a stream beginning 100,000 numbers beyond the begin ...
• DRNKSM (RNKSM) Perform the Wilcoxon rank sum test.
• DRNLGR (RNLGR) Generate pseudorandom numbers from a logarithmic distribution.
• DRNLIN (RNLIN) Fit a nonlinear regression model.
• DRNLNL (RNLNL) Generate pseudorandom numbers from a lognormal distribution.
• DRNMVN (RNMVN) Generate pseudorandom numbers from a multivariate normal distribution.
• DRNNOA (RNNOA) Generate pseudorandom numbers from a standard normal distribution using an accep ...
• DRNNOF (RNNOF) Generate a pseudorandom number from a standard normal distribution.
• DRNNOR (RNNOR) Generate pseudorandom numbers from a standard normal distribution using an inver ...
• DRNNOS (RNNOS) Generate pseudorandom order statistics from a standard normal distribution.
• DRNNPP (RNNPP) Generate pseudorandom numbers from a nonhomogeneous Poisson process.
• DRNSEF (RNSEF) Initialize the array used in the IMSL GFSR random number generator.
• DRNSES (RNSES) Initialize the table in the IMSL random number generators that use shuffling.
• DRNSPH (RNSPH) Generate pseudorandom points on a unit circle or K-dimensional sphere.
• DRNSRS (RNSRS) Generate a simple pseudorandom sample from a finite population.
• DRNSTA (RNSTA) Generate pseudorandom numbers from a stable distribution.
• DRNSTT (RNSTT) Generate pseudorandom numbers from a Student's t distribution.
• DRNTRI (RNTRI) Generate pseudorandom numbers from a triangular distribution on the interval (0, ...
• DRNUN (RNUN) Generate pseudorandom numbers from a uniform (0,1) distribution.
• DRNUNF (RNUNF) Generate a pseudorandom number from a uniform (0,1) distribution.
• DRNUNO (RNUNO) Generate pseudorandom order statistics from a uniform (0,1) distribution.
• DRNVMS (RNVMS) Generate pseudorandom numbers from a von Mises distribution.
• DRNWIB (RNWIB) Generate pseudorandom numbers from a Weibull distribution.
• DRONE (RONE) Analyze a simple linear regression model.
• DRORDM (RORDM) Reorder rows and columns of a symmetric matrix.
• DROREX (ROREX) Reorder the responses from a balanced complete experimental design.
• DROT (SROT) Apply Givens plane rotation to double precision vector.
• DROTG (SROTG) Construct Givens plane rotation of a double precision matrix.
• DROTIN (ROTIN) Compute diagnostics for detection of outliers and influential data points given ...
• DROTM (SROTM) Apply modified Givens plane rotation to double precision vector.
• DROTMG (SROTMG) Construct modified Givens plane rotation of double precision matrix.
• DRPOLY (RPOLY) Analyze a polynomial regression model.
• DRSTAP (RSTAP) Compute summary statistics for a polynomial regression model given the fit based ...
• DRSTAT (RSTAT) Compute statistics related to a regression fit given the coefficient estimates a ...
• DRSTEP (RSTEP) Build multiple linear regression models using forward selection, backward select ...
• DRUNS (RUNS) Perform a runs up test.
• 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.
• DSCOLR (SCOLR) Sort columns of a real rectangular matrix using keys in rows.
• DSCRM (DDSCRM) Perform a linear or a quadratic discriminant function analysis among several kno ...
• DSCTP (SCTP) Print a scatterplot of several groups of data.
• DSDOT Compute single precision dot product x*y using double precision accumulation.
• DSDPLC (SDPLC) Perform the Cox and Stuart sign test for trends in dispersion and location.
• DSET (SSET) Set the components of a vector to a scalar, all double precision.
• DSIGNT (SIGNT) Perform a sign test of the hypothesis that a given value is a specified quantile ...
• DSMPPR (SMPPR) Compute statistics for inferences regarding the population proportion and total ...
• DSMPPS (SMPPS) Compute statistics for inferences regarding the population proportion and total ...
• DSMPRR (SMPRR) Compute statistics for inferences regarding the population mean and total using ...
• DSMPRS (SMPRS) Compute statistics for inferences regarding the population mean and total using ...
• DSMPSC (SMPSC) Compute statistics for inferences regarding the population mean and total using ...
• DSMPSR (SMPSR) Compute statistics for inferences regarding the population mean and total, given ...
• DSMPSS (SMPSS) Compute statistics for inferences regarding the population mean and total, given ...
• DSMPST (SMPST) Compute statistics for inferences regarding the population mean and total given ...
• DSNKMC (SNKMC) Perform Student-Newman-Keuls multiple comparison test.
• DSNRNK (SNRNK) Perform a Wilcoxon signed rank test.
• DSPWF (SPWF) Compute the Wiener forecast operator for a stationary stochastic process.
• DSQAR (DDSQAR) Perform a D-square test.
• DSRCH (SRCH) Search a sorted vector for a given scalar and return its index.
• DSROWR (SROWR) Sort rows of a real rectangular matrix using keys in columns.
• DSSWP (SSWP) Estimate the nonnormalized spectral density of a stationary time series using a ...
• DSTBLE (STBLE) Estimate survival probabilities and hazard rates for various parametric models.
• DSTMLP (STMLP) Print a stem-and-leaf plot.
• 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.
• DSVGLM (SVGLM) Analyze censored survival data using a generalized linear model.
• 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 ...
• DTCSCP (TCSCP) Transform coefficients from a quadratic regression model generated from squares ...
• DTDF (TDF) Evaluate the Student's t distribution function.
• DTFPE (TFPE) Compute preliminary estimates of parameters for a univariate transfer function m ...
• DTIN (TIN) Evaluate the inverse of the Student's t distribution function.
• DTNDF (TNDF) Evaluate the noncentral Student's t distribution function.
• DTNIN (TNIN) Evaluate the inverse of the noncentral Student's t distribution function.
• DTREEP (TREEP) Print a binary tree.
• 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 ...
• DTRNBL (TRNBL) Compute Turnbull's generalized Kaplan-Meier estimates of survival probabilities ...
• DTRNRR (TRNRR) Transpose a rectangular matrix.
• DTRSM (STRSM) Solves a real triangular system of equations with multiple right-hand sides.
• DTRSV (STRSV) Solve one of the triangular systems, x = inv(A)*x, or x = inv(trans(A))*x, where ...
• DTWFRQ (TWFRQ) Tally observations into a two-way frequency table.
• DTWOMV (TWOMV) Compute statistics for mean and variance inferences using samples from two norma ...
• DUMINF (UMINF) Minimize a function of N variables using a quasi-Newton method and a finite-diff ...
• DUVSTA (UVSTA) Compute basic univariate statistics.
• DVCAL (SVCAL) Multiply a vector by a scalar and store the result in another vector, y = ax, al ...
• DVHS2P (VHS2P) Print a vertical histogram with every bar subdivided into two parts.
• DVHSTP (VHSTP) Print a vertical histogram.
• 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.
• ENOS (DENOS) Evaluate the expected value of a normal order statistic.
• EPISF (DEPISF) Compute the performance index for a real symmetric eigensystem.
• ERSET Set error handler default print and stop actions.
• EVCSF (DEVCSF) Compute all of the eigenvalues and eigenvectors of a real symmetric matrix.
• FACTR (DFACTR) Extract initial factor loading estimates in factor analysis.
• FCOEF (DFCOEF) Compute a matrix of factor score coefficients for input to IMSL routine FSCOR.
• FDF (DFDF) Evaluate the F distribution function.
• FDOBL (DFDOBL) Compute a direct oblimin rotation of a factor loading matrix.
• FEJER (DFEJER) Compute the Fejer kernel.
• FFTRB (DFFTRB) Compute the real periodic sequence from its Fourier coefficients.
• FFTRF (DFFTRF) Compute the Fourier coefficients of a real periodic sequence.
• FGCRF (DFGCRF) Compute direct oblique rotation according to a generalized fourth-degree polynom ...
• FHARR (DFHARR) Compute an oblique rotation of an unrotated factor loading matrix using the Harr ...
• FIMAG (DFIMAG) Compute the image transformation matrix.
• FIN (DFIN) Evaluate the inverse of the F distribution function.
• FOPCS (DFOPCS) Compute an orthogonal Procrustes rotation of a factor loading matrix using a tar ...
• FPRMX (DFPRMX) Compute an oblique Promax or Procrustes rotation of a factor loading matrix usin ...
• FRDMN (DFRDMN) Perform Friedman's test for a randomized complete block design.
• FREQ (DFREQ) Tally multivariate observations into a multi-way frequency table.
• FRESI (DFRESI) Compute communalities and the standardized factor residual correlation matrix.
• FROTA (DFROTA) Compute an orthogonal rotation of a factor loading matrix using a generalized or ...
• FRVAR (DFRVAR) Compute the factor structures and the variance explained by each factor.
• FSCOR (DFSCOR) Compute a set of factor scores given the factor score coefficient matrix.
• GAMDF (DGAMDF) Gamma distribution function.
• GAMIN (DGAMIN) Evaluate the inverse of the gamma distribution function.
• GAMMA (DGAMMA) gamma(x).
• GCDF (DGCDF) Evaluate a general continuous cumulative distribution function given ordinates o ...
• GCIN Evaluate the inverse of a general continuous cumulative distribution function gi ...
• GCSCP (DGCSCP) Generate centered variables, squares, and crossproducts.
• GDATA (DGDATA) Retrieves one of several data sets frequently cited in the statistical literatur ...
• GFNIN (DGFNIN) Evaluate the inverse of a general continuous cumulative distribution function gi ...
• GIRTS (DGIRTS) Solve a triangular (possibly singular) set of linear systems and/or compute a ge ...
• GRPES (DGRPES) Compute basic statistics from grouped data.
• GVLSP (DGVLSP) Compute all of the eigenvalues of the generalized real symmetric eigenvalue prob ...
• HAZEZ (DHAZEZ) Perform nonparametric hazard rate estimation using kernel functions. Easy-to-use ...
• HAZRD (DHAZRD) Perform nonparametric hazard rate estimation using kernel functions and quasi-li ...
• HAZST (DHAZST) Perform hazard rate estimation over a grid of points using a kernel function.
• HHSTP (DHHSTP) Print a horizontal histogram.
• HYPDF (DHYPDF) Evaluate the hypergeometric distribution function.
• HYPPR (DHYPPR) Evaluate the hypergeometric probability function.
• 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 double-precision vector having max ...
• IDAMIN (ISAMIN) Find the smallest index of the component of a double-precision vector having min ...
• IDMAX (ISMAX) Find the smallest index of the component of a double-precision vector having max ...
• IDMIN (ISMIN) Find the smallest index of the component of a double-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.
• INCLD (DINCLD) Perform an includance test.
• IRNSE (DIRNSE) Compute estimates of the impulse response weights and noise series of a univaria ...
• 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.
• IWKCIN Initialize bookkeeping locations describing the character workspace stack.
• IWKIN Initialize bookkeeping locations describing the workspace stack.
• KALMN (DKALMN) Perform Kalman filtering and evaluate the likelihood function for the state-spac ...
• KAPMR (DKAPMR) Compute Kaplan-Meier estimates of survival probabilities in stratified samples.
• KENDL (DKENDL) Compute and test Kendall's rank correlation coefficient.
• KENDP (DKENDP) Compute the frequency distribution of the total score in Kendall's rank correlat ...
• KMEAN (DKMEAN) Perform a K-means (centroid) cluster analysis.
• KPRIN (DKPRIN) Maximum likelihood or least-squares estimates for principal components from one ...
• KRSKL (DKRSKL) Perform a Kruskal-Wallis test for identical population medians.
• KSONE (DKSONE) Perform a Kolmogorov-Smirnov one-sample test for continuous distributions.
• KSTWO (DKSTWO) Perform a Kolmogorov-Smirnov two-sample test.
• KTBLE (DKTBLE) Print Kaplan-Meier estimates of survival probabilities in stratified samples.
• KTRND (DKTRND) Perform K-sample trends test against ordered alternatives.
• LETTR (DLETTR) Produce a letter value summary.
• LFDRG (DLFDRG) Compute the determinant of a real general matrix given the LU factorization of t ...
• LFSRG (DLFSRG) Solve a real general system of linear equations given the LU factorization of th ...
• LFTRG (DLFTRG) Compute the LU factorization of a real general matrix.
• LINRG (DLINRG) Compute the inverse of a real general matrix.
• LSBRR (DLSBRR) Solve a linear least squares problem with iterative refinement.
• LSGRR (DLSGRR) Compute the generalized inverse of a real matrix.
• LSLRG (DLSLRG) Solve a real general system of linear equations without iterative refinement.
• LSQRR (DLSQRR) Solve a linear least squares problem without iterative refinement.
• LSVRR (DLSVRR) Compute the singular value decomposition of a real matrix.
• MAMME (DMAMME) Compute method of moments estimates of the moving average parameters of an ARMA ...
• MCCF (DMCCF) Compute the multichannel cross-correlation function of two mutually stationary m ...
• MCHOL (DMCHOL) Compute a modified Cholesky factorization of a real symmetric matrix A. Specific ...
• MEDPL (DMEDPL) Compute a median polish of a two-way table.
• MLSE (DMLSE) Compute least squares estimates of a linear regression model for a multichannel ...
• MRRRR (DMRRRR) Multiply two real rectangular matrices, AB.
• MSDBL (DMSDBL) Obtain normalized product-moment (double centered) matrices from dissimilarity m ...
• MSDST (DMSDST) Compute distances in a multidimensional scaling model.
• MSIDV (DMSIDV) Perform individual-differences multidimensional scaling for metric data using al ...
• MSINI (DMSINI) Compute initial estimates in multidimensional scaling models.
• MSSTN (DMSSTN) Transform dissimilarity/similarity matrices and replace missing values by estima ...
• MSTRS (DMSTRS) Compute various stress criteria in multidimensional scaling.
• MVIND (DMVIND) Compute a test for the independence of K sets of multivariate normal variables.
• MVNAN (DMVNAN) Move any rows of a matrix with the IMSL missing value code NaN (not a number) in ...
• MWFE (DMWFE) Compute least squares estimates of the multichannel Wiener filter coefficients f ...
• 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.
• NCTRD (DNCTRD) Perform the Noether test for cyclical trend.
• 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.
• NGHBR (DNGHBR) Search a k-d tree for the k nearest neighbors of a key.
• NNBRD (DNNBRD) K nearest neighbor discrimination.
• NRCES (DNRCES) Compute maximum likelihood estimates of the mean and variance from grouped and/o ...
• NSBJF (DNSBJF) Compute Box-Jenkins forecasts and their associated probability limits for a nons ...
• NSLSE (DNSLSE) Compute least squares estimates of parameters for a nonseasonal ARMA model.
• NSPE (DNSPE) Compute preliminary estimates of the autoregressive and moving average parameter ...
• NTIES (DNTIES) Compute tie statistics for a sample of observations.
• OPOLY (DOPOLY) Generate orthogonal polynomials with respect to a specified interval and weights ...
• OWFRQ (DOWFRQ) Tally observations into a one-way frequency table.
• PACF (DPACF) Compute the sample partial autocorrelation function of a stationary time series.
• PAIRS (DPAIRS) Perform a pairs test.
• PERMA (DPERMA) Permute the rows or columns of a matrix.
• PERMU (DPERMU) Rearrange the elements of an array as specified by a permutation.
• PFFT Compute the periodogram of a stationary time series using a fast Fourier transfo ...
• PGOPT Set or retrieve page width and length for printing.
• PHGLM (DPHGLM) Analyze time event data via the proportional hazards model.
• PLOTP (DPLOTP) Print a plot of up to ten sets of points.
• POIDF (DPOIDF) Evaluate the Poisson distribution function.
• POIES (DPOIES) Estimate the parameter of the Poisson distribution.
• POIPR (DPOIPR) Evaluate the Poisson probability function.
• PRINC (DPRINC) Compute principal components from a variance-covariance matrix or a correlation ...
• PROBP (DPROBP) Prints a probability plot of data against a normal, lognormal, half-normal, expo ...
• PRPFT (DPRPFT) Perform iterative proportional fitting of a contingency table using a loglinear ...
• QDAGS (DQDAGS) Integrate a function (which may have endpoint singularities).
• QTEST (DQTEST) Perform a Cochran Q test for related observations.
• QUADT (DQUADT) Form a k-d tree.
• RANKS (DRANKS) Compute the ranks, normal scores, or exponential scores for a vector of observat ...
• RBEST (DRBEST) Select the best multiple linear regression models.
• RCASE (DRCASE) Compute case statistics and diagnostics given data points, coefficient estimates ...
• RCASP (DRCASP) Compute case statistics for a polynomial regression model given the fit based on ...
• RCOMP (DRCOMP) Generate an orthogonal central composite design.
• RCOV (DRCOV) Fit a multiple linear regression model given the variance-covariance matrix.
• RCOVB (DRCOVB) Compute the estimated variance-covariance matrix of the estimated regression coe ...
• RCURV (DRCURV) Fit a polynomial curve using least squares.
• RFORP (DRFORP) Fit an orthogonal polynomial regression model.
• RGIVN (DRGIVN) Fit a multivariate linear regression model via fast Givens transformations.
• RGLM (DRGLM) Fit a multivariate general linear model.
• RINCF (DRINCF) Perform response control given a fitted simple linear regression model.
• RINPF (DRINPF) Perform inverse prediction given a fitted simple linear regression model.
• RLAV (DRLAV) Fit a multiple linear regression model using the least absolute values criterion ...
• RLEQU (DRLEQU) Fit a multivariate linear regression model with linear equality restrictions H*B ...
• RLINE (DRLINE) Fit a line to a set of data points using least squares.
• RLMV (DRLMV) Fit a multiple linear regression model using the minimax criterion.
• RNARM (DRNARM) Generate a time series from a specified ARMA model.
• RNBET (DRNBET) Generate pseudorandom numbers from a beta distribution.
• RNBIN Generate pseudorandom numbers from a binomial distribution.
• RNCHI (DRNCHI) Generate pseudorandom numbers from a chi-squared distribution.
• RNCHY (DRNCHY) Generate pseudorandom numbers from a Cauchy distribution.
• RNCOR (DRNCOR) Generate a pseudorandom orthogonal matrix or a correlation matrix.
• RNDAT (DRNDAT) Generate pseudorandom numbers from a multivariate distribution determined from a ...
• RNEXP (DRNEXP) Generate pseudorandom numbers from a standard exponential distribution.
• RNEXT (DRNEXT) Generate pseudorandom numbers from a mixture of two exponential distributions.
• RNGAM (DRNGAM) Generate pseudorandom numbers from a standard gamma distribution.
• RNGCS (DRNGCS) Set up table to generate pseudorandom numbers from a general continuous distribu ...
• RNGCT (DRNGCT) Generate pseudorandom numbers from a general continuous distribution.
• RNGDA (DRNGDA) Generate pseudorandom numbers from a general discrete distribution using an alia ...
• RNGDS (DRNGDS) Set up table to generate pseudorandom numbers from a general discrete distributi ...
• RNGDT (DRNGDT) Generate pseudorandom numbers from a general discrete distribution using a table ...
• RNGEF (DRNGEF) Retrieve the current value of the array used in the IMSL GFSR random number gene ...
• RNGEO Generate pseudorandom numbers from a geometric distribution.
• RNGES (DRNGES) Retrieve the current value of the table in the IMSL random number generators tha ...
• RNGET Retrieve the current value of the seed used in the IMSL random number generators ...
• RNHYP Generate pseudorandom numbers from a hypergeometric distribution.
• RNISD (DRNISD) Determine a seed that yields a stream beginning 100,000 numbers beyond the begin ...
• RNKSM (DRNKSM) Perform the Wilcoxon rank sum test.
• RNLGR (DRNLGR) Generate pseudorandom numbers from a logarithmic distribution.
• RNLIN (DRNLIN) Fit a nonlinear regression model.
• RNLNL (DRNLNL) Generate pseudorandom numbers from a lognormal distribution.
• RNMTN Generate pseudorandom numbers from a multinomial distribution.
• RNMVN (DRNMVN) Generate pseudorandom numbers from a multivariate normal distribution.
• RNNBN Generate pseudorandom numbers from a negative binomial distribution.
• RNNOA (DRNNOA) Generate pseudorandom numbers from a standard normal distribution using an accep ...
• RNNOF (DRNNOF) Generate a pseudorandom number from a standard normal distribution.
• RNNOR (DRNNOR) Generate pseudorandom numbers from a standard normal distribution using an inver ...
• RNNOS (DRNNOS) Generate pseudorandom order statistics from a standard normal distribution.
• RNNPP (DRNNPP) Generate pseudorandom numbers from a nonhomogeneous Poisson process.
• RNOPG Obtain the indicator of the uniform (0,1) multiplicative congruential pseudorand ...
• RNOPT Select the uniform (0,1) multiplicative congruential pseudorandom number generat ...
• RNPER Generate a pseudorandom permutation.
• RNPOI Generate pseudorandom numbers from a Poisson distribution.
• RNSEF (DRNSEF) Initialize the array used in the IMSL GFSR random number generator.
• RNSES (DRNSES) Initialize the table in the IMSL random number generators that use shuffling.
• RNSET Initialize a random seed for use in the IMSL random number generators.
• RNSPH (DRNSPH) Generate pseudorandom points on a unit circle or K-dimensional sphere.
• RNSRI Generate a simple pseudorandom sample of indices.
• RNSRS (DRNSRS) Generate a simple pseudorandom sample from a finite population.
• RNSTA (DRNSTA) Generate pseudorandom numbers from a stable distribution.
• RNSTT (DRNSTT) Generate pseudorandom numbers from a Student's t distribution.
• RNTAB Generate a pseudorandom two-way table.
• RNTRI (DRNTRI) Generate pseudorandom numbers from a triangular distribution on the interval (0, ...
• RNUN (DRNUN) Generate pseudorandom numbers from a uniform (0,1) distribution.
• RNUND Generate pseudorandom numbers from a discrete uniform distribution.
• RNUNF (DRNUNF) Generate a pseudorandom number from a uniform (0,1) distribution.
• RNUNO (DRNUNO) Generate pseudorandom order statistics from a uniform (0,1) distribution.
• RNVMS (DRNVMS) Generate pseudorandom numbers from a von Mises distribution.
• RNWIB (DRNWIB) Generate pseudorandom numbers from a Weibull distribution.
• RONE (DRONE) Analyze a simple linear regression model.
• RORDM (DRORDM) Reorder rows and columns of a symmetric matrix.
• ROREX (DROREX) Reorder the responses from a balanced complete experimental design.
• ROTIN (DROTIN) Compute diagnostics for detection of outliers and influential data points given ...
• RPOLY (DRPOLY) Analyze a polynomial regression model.
• RSTAP (DRSTAP) Compute summary statistics for a polynomial regression model given the fit based ...
• RSTAT (DRSTAT) Compute statistics related to a regression fit given the coefficient estimates a ...
• RSTEP (DRSTEP) Build multiple linear regression models using forward selection, backward select ...
• RUNS (DRUNS) Perform a runs up test.
• 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.
• SCOLR (DSCOLR) Sort columns of a real rectangular matrix using keys in rows.
• SCOPY (DCOPY) Copy a vector X to a vector Y, both single precision.
• SCTP (DSCTP) Print a scatterplot of several groups of data.
• 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.
• SDPLC (DSDPLC) Perform the Cox and Stuart sign test for trends in dispersion and location.
• 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 ...
• SHPROD (DHPROD) Compute the Hadamard product of two single precision vectors.
• SIGNT (DSIGNT) Perform a sign test of the hypothesis that a given value is a specified quantile ...
• SMPPR (DSMPPR) Compute statistics for inferences regarding the population proportion and total ...
• SMPPS (DSMPPS) Compute statistics for inferences regarding the population proportion and total ...
• SMPRR (DSMPRR) Compute statistics for inferences regarding the population mean and total using ...
• SMPRS (DSMPRS) Compute statistics for inferences regarding the population mean and total using ...
• SMPSC (DSMPSC) Compute statistics for inferences regarding the population mean and total using ...
• SMPSR (DSMPSR) Compute statistics for inferences regarding the population mean and total, given ...
• SMPSS (DSMPSS) Compute statistics for inferences regarding the population mean and total, given ...
• SMPST (DSMPST) Compute statistics for inferences regarding the population mean and total given ...
• SNKMC (DSNKMC) Perform Student-Newman-Keuls multiple comparison test.
• SNRM2 (DNRM2) Compute the Euclidean length or L2 norm of a single precision vector, without un ...
• SNRNK (DSNRNK) Perform a Wilcoxon signed rank test.
• SPRDCT (DPRDCT) Multiply the components of a single precision vector.
• SPWF (DSPWF) Compute the Wiener forecast operator for a stationary stochastic process.
• 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.
• SROWR (DSROWR) Sort rows of a real rectangular matrix using keys in columns.
• 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.
• SSWD Estimate the nonnormalized spectral density of a stationary time series using a ...
• SSWP (DSSWP) Estimate the nonnormalized spectral density of a stationary time series using a ...
• 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 ...
• STBLE (DSTBLE) Estimate survival probabilities and hazard rates for various parametric models.
• 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 ...
• STMLP (DSTMLP) Print a stem-and-leaf plot.
• 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 ...
• STRSM (DTRSM) Solves a real triangular system of equations with multiple right-hand sides.
• STRSV (DTRSV) Solve one of the triangular systems, x = inv(A)*x, or x = inv(trans(A))*x, where ...
• SVCAL (DVCAL) Multiply a vector by a scalar and store the result in another vector, y = ax, al ...
• SVGLM (DSVGLM) Analyze censored survival data using a generalized linear model.
• SVIGN Sort an integer array by algebraic values.
• SVIGP Sort an integer array by algebraic 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.
• TCSCP (DTCSCP) Transform coefficients from a quadratic regression model generated from squares ...
• TDATE Get today's date.
• TDF (DTDF) Evaluate the Student's t distribution function.
• TETCC Categorize bivariate data and compute the tetrachoric correlation coefficient.
• TFPE (DTFPE) Compute preliminary estimates of parameters for a univariate transfer function m ...
• TIMDY Get time of day.
• TIN (DTIN) Evaluate the inverse of the Student's t distribution function.
• TNDF (DTNDF) Evaluate the noncentral Student's t distribution function.
• TNIN (DTNIN) Evaluate the inverse of the noncentral Student's t distribution function.
• TREEP (DTREEP) Print a binary tree.
• TRNBL (DTRNBL) Compute Turnbull's generalized Kaplan-Meier estimates of survival probabilities ...
• TRNRR (DTRNRR) Transpose a rectangular matrix.
• TWFRQ (DTWFRQ) Tally observations into a two-way frequency table.
• TWOMV (DTWOMV) Compute statistics for mean and variance inferences using samples from two norma ...
• UMACH Set or retrieve input or output device unit numbers.
• UMINF (DUMINF) Minimize a function of N variables using a quasi-Newton method and a finite-diff ...
• UVSTA (DUVSTA) Compute basic univariate statistics.
• VERSL Obtain STAT/LIBRARY-related version, system and license numbers.
• VHS2P (DVHS2P) Print a vertical histogram with every bar subdivided into two parts.
• VHSTP (DVHSTP) Print a vertical histogram.
• 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.
• 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 ...
• 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 301-405-1910 (voice) 301-314-9126 (FAX) e-mail: nsw@umd.edu ©1996-2006 by Nam Sun Wang