# ======================================================================
# LAPACK, Version 1.0 Date: February 29, 1992
# LAPACK, Version 1.0a Date: June 30, 1992
# LAPACK, Version 1.0b Date: October 31, 1992
# LAPACK, Version 1.1 Date: March 31, 1993
# ======================================================================
#
# ( L A P A C K )
# ( L -A P -A C -K )
# ( L A P A -C -K )
# ( L -A P -A -C K )
# ( L A -P -A C K )
# ( L -A -P A C -K )
# --------------------------
# Available software/reports:
# --------------------------
file lapack/lapack.tar.z
for (FOR XNETLIB USERS ONLY) This is the COMPLETE package
# (installation, testing, and timing) in tar compressed
# form (7729875 bytes). All revisions included.
# This cannot be retrieved via email.
# Updated: March 31, 1993
file lapack/testing.tar.z
for (FOR XNETLIB USERS ONLY) This is a compressed
# tar file of the testing directory (2632367 bytes).
# This cannot be retrieved via email.
file lapack/timing.tar.z
for (FOR XNETLIB USERS ONLY) This is a compressed
# tar file of the timing directory (1266883 bytes).
# This cannot be retrieved via email.
file lapack/manpages.tar.z
for (FOR XNETLIB USERS ONLY) This is a compressed tar
# file of the manual pages for the LAPACK driver and
# computational routines. Also included is an
# equivalence program, giving conversion equivalence
# information for LINPACK and EISPACK to LAPACK.
# (1140435 bytes). This cannot be retrieved via email.
file lapack/revisions.info
for Text file explaining the changes that were made to the
# LAPACK software in version 1.1.
file lapack/release_notes
for List of known problems, bugs, and compiler errors, as
# well as ERRATA for the LAPACK Users' Guide and the
# LAPACK code itself.
lib lapack/testing
for Subdirectory containing the testing routines for lapack.
lib lapack/timing
for Subdirectory containing the timing routines for lapack.
lib lapack/lawns
for Subdirectory containing the LAPACK Working Notes
# To find out what is available and retrieve a postscript copy
# of these reports, send mail in the form:
# send index from lapack/lawns
# send lawnxx from lapack/lawns
file lapack/index
for This index
# *******************
# Questions/comments? Direct email to lapack@cs.utk.edu
# *******************
# Jack Dongarra
# Susan Ostrouchov
# ======================================================================
# ***************
# WHAT IS LAPACK?
# ***************
# LAPACK is a transportable library of Fortran 77 subroutines for
# solving the most common problems in numerical linear algebra: systems
# of linear equations, linear least squares problems, eigenvalue problems,
# and singular value problems. It has been designed to be efficient
# on a wide range of modern high-performance computers.
# LAPACK is intended to be the successor to LINPACK and EISPACK.
# It extends the functionality of these packages by including
# equilibration, iterative refinement, error bounds, and driver routines
# for linear systems, routines for computing and re-ordering the Schur
# factorization, and condition estimation routines for eigenvalue
# problems. LAPACK improves on the accuracy of the standard algorithms
# in EISPACK by including high accuracy algorithms for finding singular
# values and eigenvalues of bidiagonal and tridiagonal matrices
# respectively that arise in SVD and symmetric eigenvalue problems.
# The algorithms and software have been restructured to achieve high
# efficiency on vector processors, high-performance ``superscalar''
# workstations, and shared-memory multiprocessors.
# A comprehensive testing and timing suite is provided along with the
# LAPACK software.
# The LAPACK Users' Guide is published by SIAM and was made available
# May, 1992. LAPACK Users' Guide gives an informal introduction to
# the design of the algorithms and software, summarizes the contents
# of the package, and describes the conventions used in the software
# and documentation, and includes complete specifications for calling
# the routines. The LAPACK Users' Guide can be purchased from:
# SIAM; 3600 University City Science Center; Philadelphia, PA 19104-2688;
# 215-382-9800, FAX 215-386-7999. It will also be available from
# booksellers. The Guide costs $15.60 for SIAM members, and $19.50
# for non-members. Please specify order code OT31 when ordering.
# To order by email, send email to service@siam.org.
# The complete LAPACK package can be obtained on magnetic media from NAG
# for a nominal handling charge. For further details contact NAG at one
# of the following addresses:
# NAG Inc NAG Ltd NAG GmbH
# 1400 Opus Place Wilkinson House Schleissheimerstrasse 5
# Suite 200 Jordan Hill Road W-8046 Garching bei Munchen
# Downers Grove, IL 60515-5702 Oxford OX2 8DR Germany
# USA England
# Tel: +1 708 971 2337 Tel: +44 865 511245 Tel: +49 89 3207395
# Fax: +1 708 971 2706 Fax: +44 865 310139 Fax: +49 89 3207396
# LAPACK has been funded in part by NSF, DOE, and DARPA, with
# developmental support from NAG Ltd., Cray Research, and many friends
# and colleagues around the world.
# ( l l l l )
# ( a -a a -a )
# 1/4 * ( p p -p -p )
# ( a -a -a a )
# ( c c -c -c )
# ( k -k -k k )
# ======================================================================
# --------------
# About the BLAS
# --------------
# THE BLAS ARE NOT PROVIDED BY NETLIB WHEN LAPACK ROUTINES ARE REQUESTED.
# LAPACK routines are written so that as much as possible of the computation
# is performed by calls to the Basic Linear Algebra Subprograms (BLAS).
# Highly efficient machine-specific implementations of the BLAS are
# available for many modern high-performance computers. The BLAS
# enable LAPACK routines to achieve high performance with portable software.
# The BLAS are not strictly speaking part of LAPACK, but Fortran 77 code
# for the BLAS is distributed with LAPACK, or can be obtained separately
# from netlib:
# send index from cor
# will retrieve more information. We consider the Fortran version the model
# implementation and as such is not expected to perform as well as a specially
# tuned implementation on most high-performance computers --- on some machines
# it may give much worse performance --- but it allows users to run LAPACK
# software on machines that do not offer any other implementation of the BLAS.
# -------------
# Naming Scheme:
# -------------
# The name of each LAPACK routine is a coded specification of
# its function (within the very tight limits of standard Fortran 77
# 6-character names).
# All driver and computational routines have names of the form XYYZZZ,
# where for some driver routines the 6th character is blank.
# The first letter, X, indicates the data type as follows:
# S REAL
# D DOUBLE PRECISION
# C COMPLEX
# Z COMPLEX*16 or DOUBLE COMPLEX
# The next two letters, YY, indicate the type of matrix (or of the most
# significant matrix). Most of these two-letter codes apply to both real
# and complex matrices; a few apply specifically to one or the other.
# The last three letters ZZZ indicate the computation performed.
# For example, SGEBRD is a single precision routine that performs a
# bidiagonal reduction (BRD) of a real general matrix.
# ======================================================================
# Below is the list of available routines from LAPACK. The
# routines are listed in two groups -- driver routines (simple
# and expert) and computational routines. The driver routines are listed
# in the order in which they appear in the "LAPACK Quick Reference Guide
# to the Driver Routines". The computational routines are listed in
# alphabetical order. This index was compiled from Appendix A: "Index of
# Driver and Computational Routines" of the LAPACK Users' Guide.
# ======================================================================
# ---------------------------------
# Available SIMPLE DRIVER routines:
# ---------------------------------
file lapack/sgesv.f
file lapack/dgesv.f
file lapack/cgesv.f
file lapack/zgesv.f
for Solves a general system of linear equations AX=B.
prec single, double, complex, double complex
file lapack/sgbsv.f
file lapack/dgbsv.f
file lapack/cgbsv.f
file lapack/zgbsv.f
for Solves a general banded system of linear equations AX=B.
prec single, double, complex, double complex
file lapack/sgtsv.f
file lapack/dgtsv.f
file lapack/cgtsv.f
file lapack/zgtsv.f
for Solves a general tridiagonal system of linear equations AX=B.
prec single, double, complex, double complex
file lapack/sposv.f
file lapack/dposv.f
file lapack/cposv.f
file lapack/zposv.f
for Solves a symmetric/Hermitian positive definite system of linear
# equations AX=B.
prec single, double, complex, double complex
file lapack/sppsv.f
file lapack/dppsv.f
file lapack/cppsv.f
file lapack/zppsv.f
for Solves a symmetric/Hermitian positive definite system of linear
# equations AX=B, where A is held in packed storage.
prec single, double, complex, double complex
file lapack/spbsv.f
file lapack/dpbsv.f
file lapack/cpbsv.f
file lapack/zpbsv.f
for Solves a symmetric/Hermitian positive definite banded system
# of linear equations AX=B.
prec single, double, complex, double complex
file lapack/sptsv.f
file lapack/dptsv.f
file lapack/cptsv.f
file lapack/zptsv.f
for Solves a symmetric/Hermitian positive definite tridiagonal system
# of linear equations AX=B.
prec single, double, complex, double complex
file lapack/ssysv.f
file lapack/dsysv.f
file lapack/csysv.f
file lapack/zsysv.f
file lapack/chesv.f
file lapack/zhesv.f
for Solves a real/complex/complex symmetric/symmetric/Hermitian
# indefinite system of linear equations AX=B.
prec single, double, complex, double complex; complex, double complex
file lapack/sspsv.f
file lapack/dspsv.f
file lapack/cspsv.f
file lapack/zspsv.f
file lapack/chpsv.f
file lapack/zhpsv.f
for Solves a real/complex/complex symmetric/symmetric/Hermitian
# indefinite system of linear equations AX=B, where A is held
# in packed storage.
prec single, double, complex, double complex; complex, double complex
file lapack/sgels.f
file lapack/dgels.f
file lapack/cgels.f
file lapack/zgels.f
for Computes the least squares solution to an over-determined system
# of linear equations, A X=B or A**H X=B, or the minimum norm
# solution of an under-determined system, where A is a general
# rectangular matrix of full rank, using a QR or LQ factorization
# of A.
prec single, double, complex, double complex
file lapack/sgelss.f
file lapack/dgelss.f
file lapack/cgelss.f
file lapack/zgelss.f
for Computes the minimum norm least squares solution to an over-
# or under-determined system of linear equations A X=B, using
# the singular value decomposition of A.
prec single, double, complex, double complex
file lapack/sgglse.f
file lapack/dgglse.f
file lapack/cgglse.f
file lapack/zgglse.f
for Solves the LSE (Constrained Linear Least Squares Problem) using
# the GRQ (Generalized RQ) factorization
prec single, double, complex, double complex
file lapack/sggglm.f
file lapack/dggglm.f
file lapack/cggglm.f
file lapack/zggglm.f
for Solves the GLM (Generalized Linear Regression Model) using
# the GQR (Generalized QR) factorization
prec single, double, complex, double complex
file lapack/ssyev.f
file lapack/dsyev.f
file lapack/cheev.f
file lapack/zheev.f
for Computes all eigenvalues and eigenvectors of a symmetric/Hermitian
# matrix.
prec single, double, complex, double complex
file lapack/sspev.f
file lapack/dspev.f
file lapack/chpev.f
file lapack/zhpev.f
for Computes all eigenvalues and eigenvectors of a symmetric/Hermitian
# matrix in packed storage.
prec single, double, complex, double complex
file lapack/ssbev.f
file lapack/dsbev.f
file lapack/chbev.f
file lapack/zhbev.f
for Computes all eigenvalues and eigenvectors of a symmetric/Hermitian
# band matrix.
prec single, double, complex, double complex
file lapack/sstev.f
file lapack/dstev.f
for Computes all eigenvalues and eigenvectors of a real symmetric
# tridiagonal matrix.
prec single, double
file lapack/sgees.f
file lapack/dgees.f
file lapack/cgees.f
file lapack/zgees.f
for Computes the eigenvalues and Schur factorization of a general
# matrix, and orders the factorization so that selected eigenvalues
# are at the top left of the Schur form.
prec single, double, complex, double complex
file lapack/sgeev.f
file lapack/dgeev.f
file lapack/cgeev.f
file lapack/zgeev.f
for Computes the eigenvalues and left and right eigenvectors of
# a general matrix.
prec single, double, complex, double complex
file lapack/sgesvd.f
file lapack/dgesvd.f
file lapack/cgesvd.f
file lapack/zgesvd.f
for Computes the singular value decomposition (SVD) of a general
# rectangular matrix.
prec single, double, complex, double complex
file lapack/ssygv.f
file lapack/dsygv.f
file lapack/chegv.f
file lapack/zhegv.f
for Computes all eigenvalues and the eigenvectors of a generalized
# symmetric/Hermitian-definite generalized eigenproblem,
# Ax= lambda Bx, ABx= lambda x, or BAx= lambda x.
prec single, double, complex, double complex
file lapack/sspgv.f
file lapack/dspgv.f
file lapack/chpgv.f
file lapack/zhpgv.f
for Computes all eigenvalues and eigenvectors of a generalized
# symmetric/Hermitian-definite generalized eigenproblem, Ax= lambda
# Bx, ABx= lambda x, or BAx= lambda x, where A and B are in packed
# storage.
prec single, double, complex, double complex
file lapack/sgegs.f
file lapack/dgegs.f
file lapack/cgegs.f
file lapack/zgegs.f
for Computes the generalized eigenvalues, Schur form, and left and/or
# right Schur vectors for a pair of nonsymmetric matrices
prec single, double, complex, double complex
file lapack/sgegv.f
file lapack/dgegv.f
file lapack/cgegv.f
file lapack/zgegv.f
for Computes the generalized eigenvalues, and left and/or right
# generalized eigenvectors for a pair of nonsymmetric matrices
prec single, double, complex, double complex
file lapack/sggsvd.f
file lapack/dggsvd.f
file lapack/cggsvd.f
file lapack/zggsvd.f
for Computes the Generalized Singular Value Decomposition
prec single, double, complex, double complex
# ---------------------------------
# Available EXPERT DRIVER routines:
# ---------------------------------
file lapack/sgesvx.f
file lapack/dgesvx.f
file lapack/cgesvx.f
file lapack/zgesvx.f
for Solves a general system of linear equations AX=B, A**T X=B
# or A**H X=B, and provides an estimate of the condition number
# and error bounds on the solution.
prec single, double, complex, double complex
file lapack/sgbsvx.f
file lapack/dgbsvx.f
file lapack/cgbsvx.f
file lapack/zgbsvx.f
for Solves a general banded system of linear equations AX=B,
# A**T X=B or A**H X=B, and provides an estimate of the condition
# number and error bounds on the solution.
prec single, double, complex, double complex
file lapack/sgtsvx.f
file lapack/dgtsvx.f
file lapack/cgtsvx.f
file lapack/zgtsvx.f
for Solves a general tridiagonal system of linear equations AX=B,
# A**T X=B or A**H X=B, and provides an estimate of the condition
# number and error bounds on the solution.
prec single, double, complex, double complex
file lapack/sposvx.f
file lapack/dposvx.f
file lapack/cposvx.f
file lapack/zposvx.f
for Solves a symmetric/Hermitian positive definite system of linear
# equations AX=B, and provides an estimate of the condition number
# and error bounds on the solution.
prec single, double, complex, double complex
file lapack/sppsvx.f
file lapack/dppsvx.f
file lapack/cppsvx.f
file lapack/zppsvx.f
for Solves a symmetric/Hermitian positive definite system of linear
# equations AX=B, where A is held in packed storage, and provides
# an estimate of the condition number and error bounds on the
# solution.
prec single, double, complex, double complex
file lapack/spbsvx.f
file lapack/dpbsvx.f
file lapack/cpbsvx.f
file lapack/zpbsvx.f
for Solves a symmetric/Hermitian positive definite banded system
# of linear equations AX=B, and provides an estimate of the condition
# number and error bounds on the solution.
prec single, double, complex, double complex
file lapack/sptsvx.f
file lapack/dptsvx.f
file lapack/cptsvx.f
file lapack/zptsvx.f
for Solves a symmetric/Hermitian positive definite tridiagonal
# system of linear equations AX=B, and provides an estimate of
# the condition number and error bounds on the solution.
prec single, double, complex, double complex
file lapack/ssysvx.f
file lapack/dsysvx.f
file lapack/csysvx.f
file lapack/zsysvx.f
file lapack/chesvx.f
file lapack/zhesvx.f
for Solves a real/complex/complex symmetric/symmetric/Hermitian
# indefinite system of linear equations AX=B, and provides an
# estimate of the condition number and error bounds on the solution.
prec single, double, complex, double complex; complex, double complex
file lapack/sspsvx.f
file lapack/dspsvx.f
file lapack/cspsvx.f
file lapack/zspsvx.f
file lapack/chpsvx.f
file lapack/zhpsvx.f
for Solves a real/complex/complex symmetric/symmetric/Hermitian
# indefinite system of linear equations AX=B, where A is held
# in packed storage, and provides an estimate of the condition
# number and error bounds on the solution.
prec single, double, complex, double complex; complex, double complex
file lapack/sgelsx.f
file lapack/dgelsx.f
file lapack/cgelsx.f
file lapack/zgelsx.f
for Computes the minimum norm least squares solution to an over-
# or under-determined system of linear equations A X=B, using a
# complete orthogonal factorization of A.
prec single, double, complex, double complex
file lapack/ssyevx.f
file lapack/dsyevx.f
file lapack/cheevx.f
file lapack/zheevx.f
for Computes selected eigenvalues and eigenvectors of a
# symmetric/Hermitian matrix.
prec single, double, complex, double complex
file lapack/sspevx.f
file lapack/dspevx.f
file lapack/chpevx.f
file lapack/zhpevx.f
for Computes selected eigenvalues and eigenvectors of a
# symmetric/Hermitian matrix in packed storage.
prec single, double, complex, double complex
file lapack/ssbevx.f
file lapack/dsbevx.f
file lapack/chbevx.f
file lapack/zhbevx.f
for Computes selected eigenvalues and eigenvectors of a
# symmetric/Hermitian band matrix.
prec single, double, complex, double complex
file lapack/sstevx.f
file lapack/dstevx.f
for Computes selected eigenvalues and eigenvectors of a real
# symmetric tridiagonal matrix.
prec single, double
file lapack/sgeesx.f
file lapack/dgeesx.f
file lapack/cgeesx.f
file lapack/zgeesx.f
for Computes the eigenvalues and Schur factorization of a general
# matrix, orders the factorization so that selected eigenvalues
# are at the top left of the Schur form, and computes reciprocal
# condition numbers for the average of the selected eigenvalues,
# and for the associated right invariant subspace.
prec single, double, complex, double complex
file lapack/sgeevx.f
file lapack/dgeevx.f
file lapack/cgeevx.f
file lapack/zgeevx.f
for Computes the eigenvalues and left and right eigenvectors of
# a general matrix, with preliminary balancing of the matrix,
# and computes reciprocal condition numbers for the eigenvalues
# and right eigenvectors.
prec single, double, complex, double complex
# ---------------------------------
# Available COMPUTATIONAL routines:
# ---------------------------------
file lapack/sbdsqr.f
file lapack/dbdsqr.f
file lapack/cbdsqr.f
file lapack/zbdsqr.f
for Computes the singular value decomposition (SVD) of a real bidiagonal
# matrix, using the bidiagonal QR algorithm.
prec single, double, complex, double complex
file lapack/sgbcon.f
file lapack/dgbcon.f
file lapack/cgbcon.f
file lapack/zgbcon.f
for Estimates the reciprocal of the condition number of a general
# band matrix, in either the 1-norm or the infinity-norm, using
# the LU factorization computed by SGBTRF/CGBTRF.
prec single, double, complex, double complex
file lapack/sgbequ.f
file lapack/dgbequ.f
file lapack/cgbequ.f
file lapack/zgbequ.f
for Computes row and column scalings to equilibrate a general band
# matrix and reduce its condition number.
prec single, double, complex, double complex
file lapack/sgbrfs.f
file lapack/dgbrfs.f
file lapack/cgbrfs.f
file lapack/zgbrfs.f
for Improves the computed solution to a general banded system of
# linear equations AX=B, A**T X=B or A**H X=B, and provides forward
# and backward error bounds for the solution.
prec single, double, complex, double complex
file lapack/sgbtrf.f
file lapack/dgbtrf.f
file lapack/cgbtrf.f
file lapack/zgbtrf.f
for Computes an LU factorization of a general band matrix, using
# partial pivoting with row interchanges.
prec single, double, complex, double complex
file lapack/sgbtrs.f
file lapack/dgbtrs.f
file lapack/cgbtrs.f
file lapack/zgbtrs.f
for Solves a general banded system of linear equations AX=B,
# A**T X=B or A**H X=B, using the LU factorization computed
# by SGBTRF/CGBTRF.
prec single, double, complex, double complex
file lapack/sgebak.f
file lapack/dgebak.f
file lapack/cgebak.f
file lapack/zgebak.f
for Transforms eigenvectors of a balanced matrix to those of the
# original matrix supplied to SGEBAL/CGEBAL.
prec single, double, complex, double complex
file lapack/sgebal.f
file lapack/dgebal.f
file lapack/cgebal.f
file lapack/zgebal.f
for Balances a general matrix in order to improve the accuracy
# of computed eigenvalues.
prec single, double, complex, double complex
file lapack/sgebrd.f
file lapack/dgebrd.f
file lapack/cgebrd.f
file lapack/zgebrd.f
for Reduces a general rectangular matrix to real bidiagonal form
# by an orthogonal/unitary transformation.
prec single, double, complex, double complex
file lapack/sgecon.f
file lapack/dgecon.f
file lapack/cgecon.f
file lapack/zgecon.f
for Estimates the reciprocal of the condition number of a general
# matrix, in either the 1-norm or the infinity-norm, using the
# LU factorization computed by SGETRF/CGETRF.
prec single, double, complex, double complex
file lapack/sgeequ.f
file lapack/dgeequ.f
file lapack/cgeequ.f
file lapack/zgeequ.f
for Computes row and column scalings to equilibrate a general
# rectangular matrix and reduce its condition number.
prec single, double, complex, double complex
file lapack/sgehrd.f
file lapack/dgehrd.f
file lapack/cgehrd.f
file lapack/zgehrd.f
for Reduces a general matrix to upper Hessenberg form by an
# orthogonal/unitary similarity transformation.
prec single, double, complex, double complex
file lapack/sgelqf.f
file lapack/dgelqf.f
file lapack/cgelqf.f
file lapack/zgelqf.f
for Computes an LQ factorization of a general rectangular matrix.
prec single, double, complex, double complex
file lapack/sgeqlf.f
file lapack/dgeqlf.f
file lapack/cgeqlf.f
file lapack/zgeqlf.f
for Computes a QL factorization of a general rectangular matrix.
prec single, double, complex, double complex
file lapack/sgeqpf.f
file lapack/dgeqpf.f
file lapack/cgeqpf.f
file lapack/zgeqpf.f
for Computes a QR factorization with column pivoting of a general
# rectangular matrix.
prec single, double, complex, double complex
file lapack/sgeqrf.f
file lapack/dgeqrf.f
file lapack/cgeqrf.f
file lapack/zgeqrf.f
for Computes a QR factorization of a general rectangular matrix.
prec single, double, complex, double complex
file lapack/sgerfs.f
file lapack/dgerfs.f
file lapack/cgerfs.f
file lapack/zgerfs.f
for Improves the computed solution to a general system of linear
# equations AX=B, A**T X=B or A**H X=B, and provides forward and
# backward error bounds for the solution.
prec single, double, complex, double complex
file lapack/sgerqf.f
file lapack/dgerqf.f
file lapack/cgerqf.f
file lapack/zgerqf.f
for Computes an RQ factorization of a general rectangular matrix.
prec single, double, complex, double complex
file lapack/sgetrf.f
file lapack/dgetrf.f
file lapack/cgetrf.f
file lapack/zgetrf.f
for Computes an LU factorization of a general matrix, using partial
# pivoting with row interchanges.
prec single, double, complex, double complex
file lapack/sgetri.f
file lapack/dgetri.f
file lapack/cgetri.f
file lapack/zgetri.f
for Computes the inverse of a general matrix, using the LU factorization
# computed by SGETRF/CGETRF.
prec single, double, complex, double complex
file lapack/sgetrs.f
file lapack/dgetrs.f
file lapack/cgetrs.f
file lapack/zgetrs.f
for Solves a general system of linear equations AX=B, A**T X=B
# or A**H X=B, using the LU factorization computed by SGETRF/CGETRF.
prec single, double, complex, double complex
file lapack/sggbak.f
file lapack/dggbak.f
file lapack/cggbak.f
file lapack/zggbak.f
for Forms the right or left eigenvectors of the generalized eigenvalue
# problem by backward transformation on the computed eigenvectors of
# the balanced matrix output by xGGBAL.
prec single, double, complex, double complex
file lapack/sggbal.f
file lapack/dggbal.f
file lapack/cggbal.f
file lapack/zggbal.f
for Balances a pair of general real/complex matrices for the generalized
# eigenvalue problem A x = lambda B x.
prec single, double, complex, double complex
file lapack/sgghrd.f
file lapack/dgghrd.f
file lapack/cgghrd.f
file lapack/zgghrd.f
for Reduces a pair of real/complex matrices to generalized upper
# Hessenberg form using orthogonal/unitary similarity transformations
prec single, double, complex, double complex
file lapack/sggsvp.f
file lapack/dggsvp.f
file lapack/cggsvp.f
file lapack/zggsvp.f
for Computes orthogonal/unitary matrices as a preprocessing step
# for computing the generalized singular value decomposition
prec single, double, complex, double complex
file lapack/sgtcon.f
file lapack/dgtcon.f
file lapack/cgtcon.f
file lapack/zgtcon.f
for Estimates the reciprocal of the condition number of a general
# tridiagonal matrix, in either the 1-norm or the infinity-norm,
# using the LU factorization computed by SGTTRF/CGTTRF.
prec single, double, complex, double complex
file lapack/sgtrfs.f
file lapack/dgtrfs.f
file lapack/cgtrfs.f
file lapack/zgtrfs.f
for Improves the computed solution to a general tridiagonal system
# of linear equations AX=B, A**T X=B or A**H X=B, and provides
# forward and backward error bounds for the solution.
prec single, double, complex, double complex
file lapack/sgttrf.f
file lapack/dgttrf.f
file lapack/cgttrf.f
file lapack/zgttrf.f
for Computes an LU factorization of a general tridiagonal matrix,
# using partial pivoting with row interchanges.
prec single, double, complex, double complex
file lapack/sgttrs.f
file lapack/dgttrs.f
file lapack/cgttrs.f
file lapack/zgttrs.f
for Solves a general tridiagonal system of linear equations AX=B,
# A**T X=B or A**H X=B, using the LU factorization computed by
# SGTTRF/CGTTRF.
prec single, double, complex, double complex
file lapack/shgeqz.f
file lapack/dhgeqz.f
file lapack/chgeqz.f
file lapack/zhgeqz.f
for Implements a single-/double-shift version of the QZ method for
# finding the generalized eigenvalues of the equation
# det(A - w(i) B) = 0
prec single, double, complex, double complex
file lapack/shsein.f
file lapack/dhsein.f
file lapack/chsein.f
file lapack/zhsein.f
for Computes specified right and/or left eigenvectors of an upper
# Hessenberg matrix by inverse iteration.
prec single, double, complex, double complex
file lapack/shseqr.f
file lapack/dhseqr.f
file lapack/chseqr.f
file lapack/zhseqr.f
for Computes the eigenvalues and Schur factorization of an upper
# Hessenberg matrix, using the multishift QR algorithm.
prec single, double, complex, double complex
file lapack/sopgtr.f
file lapack/dopgtr.f
file lapack/cupgtr.f
file lapack/zupgtr.f
for Generates the orthogonal/unitary transformation matrix from
# a reduction to tridiagonal form determined by SSPTRD/CHPTRD.
prec single, double, complex, double complex
file lapack/sopmtr.f
file lapack/dopmtr.f
file lapack/cupmtr.f
file lapack/zupmtr.f
for Multiplies a general matrix by the orthogonal/unitary
# transformation matrix from a reduction to tridiagonal form
# determined by SSPTRD/CHPTRD.
prec single, double, complex, double complex
file lapack/sorgbr.f
file lapack/dorgbr.f
file lapack/cungbr.f
file lapack/zungbr.f
for Generates the orthogonal/unitary transformation matrices from
# a reduction to bidiagonal form determined by SGEBRD/CGEBRD.
prec single, double, complex, double complex
file lapack/sorghr.f
file lapack/dorghr.f
file lapack/cunghr.f
file lapack/zunghr.f
for Generates the orthogonal/unitary transformation matrix from
# a reduction to Hessenberg form determined by SGEHRD/CGEHRD.
prec single, double, complex, double complex
file lapack/sorglq.f
file lapack/dorglq.f
file lapack/cunglq.f
file lapack/zunglq.f
for Generates all or part of the orthogonal/unitary matrix Q from
# an LQ factorization determined by SGELQF/CGELQF.
prec single, double, complex, double complex
file lapack/sorgql.f
file lapack/dorgql.f
file lapack/cungql.f
file lapack/zungql.f
for Generates all or part of the orthogonal/unitary matrix Q from
# a QL factorization determined by SGEQLF/CGEQLF.
prec single, double, complex, double complex
file lapack/sorgqr.f
file lapack/dorgqr.f
file lapack/cungqr.f
file lapack/zungqr.f
for Generates all or part of the orthogonal/unitary matrix Q from
# a QR factorization determined by SGEQRF/CGEQRF.
prec single, double, complex, double complex
file lapack/sorgrq.f
file lapack/dorgrq.f
file lapack/cungrq.f
file lapack/zungrq.f
for Generates all or part of the orthogonal/unitary matrix Q from
# an RQ factorization determined by SGERQF/CGERQF.
prec single, double, complex, double complex
file lapack/sorgtr.f
file lapack/dorgtr.f
file lapack/cungtr.f
file lapack/zungtr.f
for Generates the orthogonal/unitary transformation matrix from
# a reduction to tridiagonal form determined by SSYTRD/CHETRD.
prec single, double, complex, double complex
file lapack/sormbr.f
file lapack/dormbr.f
file lapack/cunmbr.f
file lapack/zunmbr.f
for Multiplies a general matrix by one of the orthogonal/unitary
# transformation matrices from a reduction to bidiagonal form
# determined by SGEBRD/CGEBRD.
prec single, double, complex, double complex
file lapack/sormhr.f
file lapack/dormhr.f
file lapack/cunmhr.f
file lapack/zunmhr.f
for Multiplies a general matrix by the orthogonal/unitary transformation
# matrix from a reduction to Hessenberg form determined by SGEHRD/CGEHRD.
prec single, double, complex, double complex
file lapack/sormlq.f
file lapack/dormlq.f
file lapack/cunmlq.f
file lapack/zunmlq.f
for Multiplies a general matrix by the orthogonal/unitary matrix
# from an LQ factorization determined by SGELQF/CGELQF.
prec single, double, complex, double complex
file lapack/sormql.f
file lapack/dormql.f
file lapack/cunmql.f
file lapack/zunmql.f
for Multiplies a general matrix by the orthogonal/unitary matrix
# from a QL factorization determined by SGEQLF/CGEQLF.
prec single, double, complex, double complex
file lapack/sormqr.f
file lapack/dormqr.f
file lapack/cunmqr.f
file lapack/zunmqr.f
for Multiplies a general matrix by the orthogonal/unitary matrix
# from a QR factorization determined by SGEQRF/CGEQRF.
prec single, double, complex, double complex
file lapack/sormrq.f
file lapack/dormrq.f
file lapack/cunmrq.f
file lapack/zunmrq.f
for Multiplies a general matrix by the orthogonal/unitary matrix
# from an RQ factorization determined by SGERQF/CGERQF.
prec single, double, complex, double complex
file lapack/sormtr.f
file lapack/dormtr.f
file lapack/cunmtr.f
file lapack/zunmtr.f
for Multiplies a general matrix by the orthogonal/unitary
# transformation matrix from a reduction to tridiagonal form
# determined by SSYTRD/CHETRD.
prec single, double, complex, double complex
file lapack/spbcon.f
file lapack/dpbcon.f
file lapack/cpbcon.f
file lapack/zpbcon.f
for Estimates the reciprocal of the condition number of a
# symmetric/Hermitian positive definite band matrix, using the
# Cholesky factorization computed by SPBTRF/CPBTRF.
prec single, double, complex, double complex
file lapack/spbequ.f
file lapack/dpbequ.f
file lapack/cpbequ.f
file lapack/zpbequ.f
for Computes row and column scalings to equilibrate a symmetric/Hermitian
# positive definite band matrix and reduce its condition number.
prec single, double, complex, double complex
file lapack/spbrfs.f
file lapack/dpbrfs.f
file lapack/cpbrfs.f
file lapack/zpbrfs.f
for Improves the computed solution to a symmetric/Hermitian positive
# definite banded system of linear equations AX=B, and provides
# forward and backward error bounds for the solution.
prec single, double, complex, double complex
file lapack/spbtrf.f
file lapack/dpbtrf.f
file lapack/cpbtrf.f
file lapack/zpbtrf.f
for Computes the Cholesky factorization of a symmetric/Hermitian
# positive definite band matrix.
prec single, double, complex, double complex
file lapack/spbtrs.f
file lapack/dpbtrs.f
file lapack/cpbtrs.f
file lapack/zpbtrs.f
for Solves a symmetric/Hermitian positive definite banded system
# of linear equations AX=B, using the Cholesky factorization
# computed by SPBTRF/CPBTRF.
prec single, double, complex, double complex
file lapack/spocon.f
file lapack/dpocon.f
file lapack/cpocon.f
file lapack/zpocon.f
for Estimates the reciprocal of the condition number of a
# symmetric/Hermitian positive definite matrix, using the
# Cholesky factorization computed by SPOTRF/CPOTRF.
prec single, double, complex, double complex
file lapack/spoequ.f
file lapack/dpoequ.f
file lapack/cpoequ.f
file lapack/zpoequ.f
for Computes row and column scalings to equilibrate a symmetric/Hermitian
# positive definite matrix and reduce its condition number.
prec single, double, complex, double complex
file lapack/sporfs.f
file lapack/dporfs.f
file lapack/cporfs.f
file lapack/zporfs.f
for Improves the computed solution to a symmetric/Hermitian positive
# definite system of linear equations AX=B, and provides forward
# and backward error bounds for the solution.
prec single, double, complex, double complex
file lapack/spotrf.f
file lapack/dpotrf.f
file lapack/cpotrf.f
file lapack/zpotrf.f
for Computes the Cholesky factorization of a symmetric/Hermitian
# positive definite matrix.
prec single, double, complex, double complex
file lapack/spotri.f
file lapack/dpotri.f
file lapack/cpotri.f
file lapack/zpotri.f
for Computes the inverse of a symmetric/Hermitian positive definite
# matrix, using the Cholesky factorization computed by SPOTRF/CPOTRF.
prec single, double, complex, double complex
file lapack/spotrs.f
file lapack/dpotrs.f
file lapack/cpotrs.f
file lapack/zpotrs.f
for Solves a symmetric/Hermitian positive definite system of linear
# equations AX=B, using the Cholesky factorization computed by
# SPOTRF/CPOTRF.
prec single, double, complex, double complex
file lapack/sppcon.f
file lapack/dppcon.f
file lapack/cppcon.f
file lapack/zppcon.f
for Estimates the reciprocal of the condition number of a
# symmetric/Hermitian positive definite matrix in packed storage,
# using the Cholesky factorization computed by SPPTRF/CPPTRF.
prec single, double, complex, double complex
file lapack/sppequ.f
file lapack/dppequ.f
file lapack/cppequ.f
file lapack/zppequ.f
for Computes row and column scalings to equilibrate a symmetric/Hermitian
# positive definite matrix in packed storage and reduce its condition
# number.
prec single, double, complex, double complex
file lapack/spprfs.f
file lapack/dpprfs.f
file lapack/cpprfs.f
file lapack/zpprfs.f
for Improves the computed solution to a symmetric/Hermitian positive
# definite system of linear equations AX=B, where A is held in
# packed storage, and provides forward and backward error bounds
# for the solution.
prec single, double, complex, double complex
file lapack/spptrf.f
file lapack/dpptrf.f
file lapack/cpptrf.f
file lapack/zpptrf.f
for Computes the Cholesky factorization of a symmetric/Hermitian
# positive definite matrix in packed storage.
prec single, double, complex, double complex
file lapack/spptri.f
file lapack/dpptri.f
file lapack/cpptri.f
file lapack/zpptri.f
for Computes the inverse of a symmetric/Hermitian positive definite
# matrix in packed storage, using the Cholesky factorization computed
# by SPPTRF/CPPTRF.
prec single, double, complex, double complex
file lapack/spptrs.f
file lapack/dpptrs.f
file lapack/cpptrs.f
file lapack/zpptrs.f
for Solves a symmetric/Hermitian positive definite system of linear
# equations AX=B, where A is held in packed storage, using the
# Cholesky factorization computed by SPPTRF/CPPTRF.
prec single, double, complex, double complex
file lapack/sptcon.f
file lapack/dptcon.f
file lapack/cptcon.f
file lapack/zptcon.f
for Computes the reciprocal of the condition number of a
# symmetric/Hermitian positive definite tridiagonal matrix,
# using the LDL**H factorization computed by SPTTRF/CPTTRF.
prec single, double, complex, double complex
file lapack/spteqr.f
file lapack/dpteqr.f
file lapack/cpteqr.f
file lapack/zpteqr.f
for Computes all eigenvalues and eigenvectors of a real symmetric
# positive definite tridiagonal matrix, by computing the SVD of
# its bidiagonal Cholesky factor.
prec single, double, complex, double complex
file lapack/sptrfs.f
file lapack/dptrfs.f
file lapack/cptrfs.f
file lapack/zptrfs.f
for Improves the computed solution to a symmetric/Hermitian positive
# definite tridiagonal system of linear equations AX=B, and provides
# forward and backward error bounds for the solution.
prec single, double, complex, double complex
file lapack/spttrf.f
file lapack/dpttrf.f
file lapack/cpttrf.f
file lapack/zpttrf.f
for Computes the LDL**H factorization of a symmetric/Hermitian
# positive definite tridiagonal matrix.
prec single, double, complex, double complex
file lapack/spttrs.f
file lapack/dpttrs.f
file lapack/cpttrs.f
file lapack/zpttrs.f
for Solves a symmetric/Hermitian positive definite tridiagonal
# system of linear equations, using the LDL**H factorization
# computed by SPTTRF/CPTTRF.
prec single, double, complex, double complex
file lapack/ssbtrd.f
file lapack/dsbtrd.f
file lapack/chbtrd.f
file lapack/zhbtrd.f
for Reduces a symmetric/Hermitian band matrix to real symmetric
# tridiagonal form by an orthogonal/unitary similarity transformation.
prec single, double, complex, double complex
file lapack/sspcon.f
file lapack/dspcon.f
file lapack/cspcon.f
file lapack/zspcon.f
file lapack/chpcon.f
file lapack/zhpcon.f
for Estimates the reciprocal of the condition number of a
# real/complex/complex symmetric/symmetric/Hermitian indefinite
# matrix in packed storage, using the factorization computed
# by SSPTRF/CSPTRF/CHPTRF.
prec single, double, complex, double complex
file lapack/sspgst.f
file lapack/dspgst.f
file lapack/chpgst.f
file lapack/zhpgst.f
for Reduces a symmetric/Hermitian-definite generalized eigenproblem
# Ax= lambda Bx, ABx= lambda x, or BAx= lambda x, to standard
# form, where A and B are held in packed storage, and B has been
# factorized by SPPTRF/CPPTRF.
prec single, double, complex, double complex
file lapack/ssprfs.f
file lapack/dsprfs.f
file lapack/csprfs.f
file lapack/zsprfs.f
file lapack/chprfs.f
file lapack/zhprfs.f
for Improves the computed solution to a real/complex/complex
# symmetric/symmetric/Hermitian indefinite system of linear equations
# AX=B, where A is held in packed storage, and provides forward
# and backward error bounds for the solution.
prec single, double, complex, double complex
file lapack/ssptrd.f
file lapack/dsptrd.f
file lapack/chptrd.f
file lapack/zhptrd.f
for Reduces a symmetric/Hermitian matrix in packed storage to real
# symmetric tridiagonal form by an orthogonal/unitary similarity
# transformation.
prec single, double, complex, double complex
file lapack/ssptrf.f
file lapack/dsptrf.f
file lapack/csptrf.f
file lapack/zsptrf.f
file lapack/chptrf.f
file lapack/zhptrf.f
for Computes the factorization of a real/complex/complex
# symmetric/symmetric/Hermitian-indefinite matrix in packed storage,
# using the diagonal pivoting method.
prec single, double, complex, double complex
file lapack/ssptri.f
file lapack/dsptri.f
file lapack/csptri.f
file lapack/zsptri.f
file lapack/chptri.f
file lapack/zhptri.f
for Computes the inverse of a real symmetric/complex symmetric/complex
# Hermitian indefinite matrix in packed storage, using the factorization
# computed by SSPTRF/CSPTRF/CHPTRF.
prec single, double, complex, double complex
file lapack/ssptrs.f
file lapack/dsptrs.f
file lapack/csptrs.f
file lapack/zsptrs.f
file lapack/chptrs.f
file lapack/zhptrs.f
for Solves a real/complex/complex symmetric/symmetric/Hermitian
# indefinite system of linear equations AX=B, where A is held
# in packed storage, using the factorization computed
# by SSPTRF/CSPTRF/CHPTRF.
prec single, double, complex, double complex
file lapack/sstebz.f
file lapack/dstebz.f
for Computes selected eigenvalues of a real symmetric tridiagonal
# matrix by bisection.
prec single, double
file lapack/sstein.f
file lapack/dstein.f
file lapack/cstein.f
file lapack/zstein.f
for Computes selected eigenvectors of a real symmetric tridiagonal
# matrix by inverse iteration.
prec single, double, complex, double complex
file lapack/ssteqr.f
file lapack/dsteqr.f
file lapack/csteqr.f
file lapack/zsteqr.f
for Computes all eigenvalues and eigenvectors of a real symmetric
# tridiagonal matrix, using the implicit QL or QR algorithm.
prec single, double, complex, double complex
file lapack/ssterf.f
file lapack/dsterf.f
for Computes all eigenvalues of a real symmetric tridiagonal matrix,
# using a root-free variant of the QL or QR algorithm.
prec single, double, complex, double complex
file lapack/ssycon.f
file lapack/dsycon.f
file lapack/csycon.f
file lapack/zsycon.f
file lapack/checon.f
file lapack/zhecon.f
for Estimates the reciprocal of the condition number of a
# real/complex/complex symmetric/symmetric/Hermitian indefinite matrix,
# using the factorization computed by SSYTRF/CSYTRF/CHETRF.
prec single, double, complex, double complex
file lapack/ssygst.f
file lapack/dsygst.f
file lapack/chegst.f
file lapack/zhegst.f
for Reduces a symmetric/Hermitian-definite generalized eigenproblem
# Ax= lambda Bx, ABx= lambda x, or BAx= lambda x, to standard
# form, where B has been factorized by SPOTRF/CPOTRF.
prec single, double, complex, double complex
file lapack/ssyrfs.f
file lapack/dsyrfs.f
file lapack/csyrfs.f
file lapack/zsyrfs.f
file lapack/cherfs.f
file lapack/zherfs.f
for Improves the computed solution to a real/complex/complex
# symmetric/symmetric/Hermitian indefinite system of linear equations
# AX=B, and provides forward and backward error bounds for the
# solution.
prec single, double, complex, double complex
file lapack/ssytrd.f
file lapack/dsytrd.f
file lapack/chetrd.f
file lapack/zhetrd.f
for Reduces a symmetric/Hermitian matrix to real symmetric tridiagonal
# form by an orthogonal/unitary similarity transformation.
prec single, double, complex, double complex
file lapack/ssytrf.f
file lapack/dsytrf.f
file lapack/csytrf.f
file lapack/zsytrf.f
file lapack/chetrf.f
file lapack/zhetrf.f
for Computes the factorization of a real symmetric/complex
# symmetric/complex Hermitian-indefinite matrix, using the
# diagonal pivoting method.
prec single, double, complex, double complex
file lapack/ssytri.f
file lapack/dsytri.f
file lapack/csytri.f
file lapack/zsytri.f
file lapack/chetri.f
file lapack/zhetri.f
for Computes the inverse of a real/complex/complex
# symmetric/symmetric/Hermitian indefinite matrix, using the
# factorization computed by SSYTRF/CSYTRF/CHETRF.
prec single, double, complex, double complex
file lapack/ssytrs.f
file lapack/dsytrs.f
file lapack/csytrs.f
file lapack/zsytrs.f
file lapack/chetrs.f
file lapack/zhetrs.f
for Solves a real/complex/complex symmetric/symmetric/Hermitian
# indefinite system of linear equations AX=B, using the factorization
# computed by SSPTRF/CSPTRF/CHPTRF.
prec single, double, complex, double complex
file lapack/stbcon.f
file lapack/dtbcon.f
file lapack/ctbcon.f
file lapack/ztbcon.f
for Estimates the reciprocal of the condition number of a triangular
# band matrix, in either the 1-norm or the infinity-norm.
prec single, double, complex, double complex
file lapack/stbrfs.f
file lapack/dtbrfs.f
file lapack/ctbrfs.f
file lapack/ztbrfs.f
for Provides forward and backward error bounds for the solution
# of a triangular banded system of linear equations AX=B,
# A**T X=B or A**H X=B.
prec single, double, complex, double complex
file lapack/stbtrs.f
file lapack/dtbtrs.f
file lapack/ctbtrs.f
file lapack/ztbtrs.f
for Solves a triangular banded system of linear equations AX=B,
# A**T X=B or A**H X=B.
prec single, double, complex, double complex
file lapack/stgevc.f
file lapack/dtgevc.f
file lapack/ctgevc.f
file lapack/ztgevc.f
for Computes selected left and/or right generalized eigenvectors
# of a pair of real/complex upper triangular matrices.
prec single, double, complex, double complex
file lapack/stgsja.f
file lapack/dtgsja.f
file lapack/ctgsja.f
file lapack/ztgsja.f
for Computes the generalized singular value decomposition of two
# real/complex upper "triangular (or trapezoidal)" matrices as
# output by xGGSVP.
prec single, double, complex, double complex
file lapack/stpcon.f
file lapack/dtpcon.f
file lapack/ctpcon.f
file lapack/ztpcon.f
for Estimates the reciprocal of the condition number of a triangular
# matrix in packed storage, in either the 1-norm or the infinity-norm.
prec single, double, complex, double complex
file lapack/stprfs.f
file lapack/dtprfs.f
file lapack/ctprfs.f
file lapack/ztprfs.f
for Provides forward and backward error bounds for the solution
# of a triangular system of linear equations AX=B, A**T X=B or
# A**H X=B, where A is held in packed storage.
prec single, double, complex, double complex
file lapack/stptri.f
file lapack/dtptri.f
file lapack/ctptri.f
file lapack/ztptri.f
for Computes the inverse of a triangular matrix in packed storage.
prec single, double, complex, double complex
file lapack/stptrs.f
file lapack/dtptrs.f
file lapack/ctptrs.f
file lapack/ztptrs.f
for Solves a triangular system of linear equations AX=B,
# A**T X=B or A**H X=B, where A is held in packed storage.
prec single, double, complex, double complex
file lapack/strcon.f
file lapack/dtrcon.f
file lapack/ctrcon.f
file lapack/ztrcon.f
for Estimates the reciprocal of the condition number of a triangular
# matrix, in either the 1-norm or the infinity-norm.
prec single, double, complex, double complex
file lapack/strevc.f
file lapack/dtrevc.f
file lapack/ctrevc.f
file lapack/ztrevc.f
for Computes left and right eigenvectors of an upper
# quasi-triangular/triangular matrix.
prec single, double, complex, double complex
file lapack/strexc.f
file lapack/dtrexc.f
file lapack/ctrexc.f
file lapack/ztrexc.f
for Reorders the Schur factorization of a matrix by a unitary
# similarity transformation.
prec single, double, complex, double complex
file lapack/strrfs.f
file lapack/dtrrfs.f
file lapack/ctrrfs.f
file lapack/ztrrfs.f
for Provides forward and backward error bounds for the solution
# of a triangular system of linear equations A X=B, A**T X=B or
# A**H X=B.
prec single, double, complex, double complex
file lapack/strsen.f
file lapack/dtrsen.f
file lapack/ctrsen.f
file lapack/ztrsen.f
for Reorders the Schur factorization of a matrix in order to find
# an orthonormal basis of a right invariant subspace corresponding
# to selected eigenvalues, and returns reciprocal condition numbers
# (sensitivities) of the average of the cluster of eigenvalues
# and of the invariant subspace.
prec single, double, complex, double complex
file lapack/strsna.f
file lapack/dtrsna.f
file lapack/ctrsna.f
file lapack/ztrsna.f
for Estimates the reciprocal condition numbers (sensitivities)
# of selected eigenvalues and eigenvectors of an upper
# quasi-triangular/triangular matrix.
prec single, double, complex, double complex
file lapack/strsyl.f
file lapack/dtrsyl.f
file lapack/ctrsyl.f
file lapack/ztrsyl.f
for Solves the Sylvester matrix equation A X +/- X B=C where A
# and B are upper quasi-triangular/triangular, and may be transposed.
prec single, double, complex, double complex
file lapack/strtri.f
file lapack/dtrtri.f
file lapack/ctrtri.f
file lapack/ztrtri.f
for Computes the inverse of a triangular matrix.
prec single, double, complex, double complex
file lapack/strtrs.f
file lapack/dtrtrs.f
file lapack/ctrtrs.f
file lapack/ztrtrs.f
for Solves a triangular system of linear equations AX=B,
# A**T X=B or A**H X=B.
prec single, double, complex, double complex
file lapack/stzrqf.f
file lapack/dtzrqf.f
file lapack/ctzrqf.f
file lapack/ztzrqf.f
for Computes an RQ factorization of an upper trapezoidal matrix.
prec single, double, complex, double complex