Module scid.bindings.lapack.dlapack

LAPACK bindings for D.

Functions

Name Description
bdsdc Computes the singular value decomposition (SVD) of a real bidiagonal
bdsdc
bdsqr
bdsqr
bdsqr Computes the singular value decomposition (SVD) of a real bidiagonal
bdsqr
disna
disna Computes the reciprocal condition numbers for the eigenvectors of a
dlamch
gbbrd
gbbrd
gbbrd
gbbrd Reduces a general band matrix to real upper bidiagonal form
gbcon Estimates the reciprocal of the condition number of a general
gbcon
gbcon
gbcon
gbequ Computes row and column scalings to equilibrate a general band
gbequ
gbequ
gbequ
gbrfs
gbrfs Improves the computed solution to a general banded system of
gbrfs
gbrfs
gbsv
gbsv
gbsv Solves a general banded system of linear equations AX=B.
gbsv
gbsvx
gbsvx
gbsvx
gbsvx Solves a general banded system of linear equations AX=B,
gbtrf Computes an LU factorization of a general band matrix, using
gbtrf
gbtrf
gbtrf
gbtrs Solves a general banded system of linear equations AX=B,
gbtrs
gbtrs
gbtrs
gebak
gebak
gebak
gebak Transforms eigenvectors of a balanced matrix to those of the
gebal Balances a general matrix in order to improve the accuracy
gebal
gebal
gebal
gebrd
gebrd
gebrd
gebrd Reduces a general rectangular matrix to real bidiagonal form
gecon
gecon
gecon
gecon Estimates the reciprocal of the condition number of a general
geequ
geequ
geequ
geequ Computes row and column scalings to equilibrate a general
gees
gees
gees Computes the eigenvalues and Schur factorization of a general
gees
geesx
geesx
geesx Computes the eigenvalues and Schur factorization of a general
geesx
geev
geev
geev
geev Computes the eigenvalues and left and right eigenvectors of
geevx Computes the eigenvalues and left and right eigenvectors of
geevx
geevx
geevx
gegs Computes the generalized eigenvalues, Schur form, and left and/or
gegs
gegs
gegs
gegv Computes the generalized eigenvalues, and left and/or right
gegv
gegv
gegv
gehrd
gehrd
gehrd
gehrd Reduces a general matrix to upper Hessenberg form by an
gelqf
gelqf Computes an LQ factorization of a general rectangular matrix.
gelqf
gelqf
gels
gels
gels
gels Computes the least squares solution to an over-determined system
gelsd
gelsd Computes the least squares solution to an over-determined system
gelsd
gelsd
gelss Computes the minimum norm least squares solution to an over-
gelss
gelss
gelss
gelsx
gelsx
gelsx Computes the minimum norm least squares solution to an over-
gelsx
gelsy Computes the minimum norm least squares solution to an over-
gelsy
gelsy
gelsy
geqlf
geqlf
geqlf Computes a QL factorization of a general rectangular matrix.
geqlf
geqp3
geqp3 Computes a QR factorization with column pivoting of a general
geqp3
geqp3
geqpf
geqpf
geqpf
geqpf Computes a QR factorization with column pivoting of a general
geqrf
geqrf
geqrf
geqrf Computes a QR factorization of a general rectangular matrix.
gerfs
gerfs
gerfs
gerfs Improves the computed solution to a general system of linear
gerqf Computes an RQ factorization of a general rectangular matrix.
gerqf
gerqf
gerqf
gesdd
gesdd
gesdd
gesdd Computes the singular value decomposition (SVD) of a general
gesv Solves a general system of linear equations AX=B.
gesv
gesv
gesv
gesvd
gesvd
gesvd
gesvd Computes the singular value decomposition (SVD) of a general
gesvx Solves a general system of linear equations AX=B, A**T X=B
gesvx
gesvx
gesvx
getrf
getrf
getrf
getrf Computes an LU factorization of a general matrix, using partial
getri Computes the inverse of a general matrix, using the LU factorization
getri
getri
getri
getrs
getrs
getrs
getrs Solves a general system of linear equations AX=B, A**T X=B
ggbak
ggbak
ggbak
ggbak Forms the right or left eigenvectors of the generalized eigenvalue
ggbal
ggbal
ggbal
ggbal Balances a pair of general real matrices for the generalized
gges
gges
gges Computes the generalized eigenvalues, Schur form, and left and/or
gges
ggesx
ggesx
ggesx
ggesx Computes the generalized eigenvalues, the real Schur form, and,
ggev
ggev Computes the generalized eigenvalues, and left and/or right
ggev
ggev
ggevx Computes the generalized eigenvalues, and optionally, the left
ggevx
ggevx
ggevx
ggglm
ggglm
ggglm
ggglm Solves the GLM (Generalized Linear Regression Model) using
gghrd Reduces a pair of real matrices to generalized upper
gghrd
gghrd
gghrd
gglse
gglse
gglse Solves the LSE (Constrained Linear Least Squares Problem) using
gglse
ggqrf
ggqrf
ggqrf
ggqrf Computes a generalized QR factorization of a pair of matrices.
ggrqf
ggrqf Computes a generalized RQ factorization of a pair of matrices.
ggrqf
ggrqf
ggsvd
ggsvd Computes the Generalized Singular Value Decomposition
ggsvd
ggsvd
ggsvp
ggsvp
ggsvp
ggsvp Computes orthogonal matrices as a preprocessing step
gtcon
gtcon
gtcon
gtcon Estimates the reciprocal of the condition number of a general
gtrfs
gtrfs
gtrfs
gtrfs Improves the computed solution to a general tridiagonal system
gtsv
gtsv
gtsv
gtsv Solves a general tridiagonal system of linear equations AX=B.
gtsvx
gtsvx
gtsvx
gtsvx Solves a general tridiagonal system of linear equations AX=B,
gttrf
gttrf Computes an LU factorization of a general tridiagonal matrix,
gttrf
gttrf
gttrs Solves a general tridiagonal system of linear equations AX=B,
gttrs
gttrs
gttrs
hbev Computes all eigenvalues and, optionally, eigenvectors of a complex
hbev
hbevd
hbevd Computes all eigenvalues and, optionally, eigenvectors of a complex
hbevx
hbevx Computes selected eigenvalues and eigenvectors of a
hbgst Reduces a complex Hermitian-definite banded generalized eigenproblem
hbgst
hbgv Computes all the eigenvalues, and optionally, the eigenvectors
hbgv
hbgvd
hbgvd Computes all the eigenvalues, and optionally, the eigenvectors
hbgvx
hbgvx Computes selected eigenvalues, and optionally, the eigenvectors
hbtrd Reduces a Hermitian band matrix to real symmetric
hbtrd
hecon
hecon Estimates the reciprocal of the condition number of a
heev Computes all eigenvalues and, optionally, eigenvectors of a complex
heev
heevd
heevd Computes all eigenvalues and, optionally, eigenvectors of a complex
heevr
heevr Computes selected eigenvalues, and optionally, eigenvectors of a complex
heevx Computes selected eigenvalues and eigenvectors of a Hermitian matrix.
heevx
hegst Reduces a Hermitian-definite generalized eigenproblem
hegst
hegv Computes all eigenvalues and the eigenvectors of a generalized
hegv
hegvd Computes all eigenvalues and the eigenvectors of a generalized
hegvd
hegvx Computes selected eigenvalues, and optionally, the eigenvectors of
hegvx
herfs
herfs Improves the computed solution to a complex
hesv Solves a complex Hermitian indefinite system of linear equations AX=B.
hesv
hesvx
hesvx Solves a complex Hermitian
hetrd
hetrd Reduces a Hermitian matrix to real symmetric tridiagonal
hetrf
hetrf Computes the factorization of a complex Hermitian-indefinite matrix,
hetri
hetri Computes the inverse of a complex Hermitian indefinite matrix,
hetrs
hetrs Solves a complex Hermitian indefinite system of linear equations AX=B,
hgeqz
hgeqz Implements a single-/f_double-shift version of the QZ method for
hgeqz
hgeqz
hpcon
hpcon Estimates the reciprocal of the condition number of a
hpev Computes selected eigenvalues, and optionally, eigenvectors of a complex
hpev
hpevd
hpevd Computes all eigenvalues and, optionally, eigenvectors of a complex
hpevx Computes selected eigenvalues and eigenvectors of a
hpevx
hpgst
hpgst Reduces a Hermitian-definite generalized eigenproblem
hpgv
hpgv Computes all eigenvalues and eigenvectors of a generalized
hpgvd
hpgvd Computes all eigenvalues and eigenvectors of a generalized
hpgvx Computes selected eigenvalues, and optionally, the eigenvectors of
hpgvx
hprfs Improves the computed solution to a complex
hprfs
hpsv
hpsv Solves a complex Hermitian indefinite system of linear equations AX=B,
hpsvx
hpsvx Solves a complex Hermitian
hptrd Reduces a Hermitian matrix in packed storage to real
hptrd
hptrf Computes the factorization of a complex
hptrf
hptri
hptri Computes the inverse of a complex
hptrs Solves a complex Hermitian
hptrs
hsein
hsein
hsein
hsein Computes specified right and/or left eigenvectors of an upper
hseqr
hseqr
hseqr
hseqr Computes the eigenvalues and Schur factorization of an upper
ilaenv
ilaenvset
opgtr
opgtr Generates the orthogonal transformation matrix from
opmtr
opmtr Multiplies a general matrix by the orthogonal
orgbr Generates the orthogonal transformation matrices from
orgbr
orghr Generates the orthogonal transformation matrix from
orghr
orglq Generates all or part of the orthogonal matrix Q from
orglq
orgql
orgql Generates all or part of the orthogonal matrix Q from
orgqr
orgqr Generates all or part of the orthogonal matrix Q from
orgrq
orgrq Generates all or part of the orthogonal matrix Q from
orgtr
orgtr Generates the orthogonal transformation matrix from
ormbr
ormbr Multiplies a general matrix by one of the orthogonal
ormhr Multiplies a general matrix by the orthogonal transformation
ormhr
ormlq Multiplies a general matrix by the orthogonal matrix
ormlq
ormql Multiplies a general matrix by the orthogonal matrix
ormql
ormqr Multiplies a general matrix by the orthogonal matrix
ormqr
ormr3 Multiples a general matrix by the orthogonal matrix
ormr3
ormrq Multiplies a general matrix by the orthogonal matrix
ormrq
ormrz Multiples a general matrix by the orthogonal matrix
ormrz
ormtr
ormtr Multiplies a general matrix by the orthogonal
pbcon
pbcon
pbcon Estimates the reciprocal of the condition number of a
pbcon
pbequ Computes row and column scalings to equilibrate a symmetric
pbequ
pbequ
pbequ
pbrfs
pbrfs
pbrfs Improves the computed solution to a symmetric positive
pbrfs
pbstf Computes a split Cholesky factorization of a real symmetric positive
pbstf
pbstf
pbstf
pbsv
pbsv
pbsv
pbsv Solves a symmetric positive definite banded system
pbsvx
pbsvx
pbsvx Solves a symmetric positive definite banded system
pbsvx
pbtrf
pbtrf
pbtrf Computes the Cholesky factorization of a symmetric
pbtrf
pbtrs Solves a symmetric positive definite banded system
pbtrs
pbtrs
pbtrs
pocon Estimates the reciprocal of the condition number of a
pocon
pocon
pocon
poequ Computes row and column scalings to equilibrate a symmetric
poequ
poequ
poequ
porfs
porfs Improves the computed solution to a symmetric positive
porfs
porfs
posv
posv
posv
posv Solves a symmetric positive definite system of linear
posvx
posvx
posvx
posvx Solves a symmetric positive definite system of linear
potrf
potrf
potrf Computes the Cholesky factorization of a symmetric
potrf
potri Computes the inverse of a symmetric positive definite
potri
potri
potri
potrs Solves a symmetric positive definite system of linear
potrs
potrs
potrs
ppcon
ppcon Estimates the reciprocal of the condition number of a
ppcon
ppcon
ppequ
ppequ
ppequ
ppequ Computes row and column scalings to equilibrate a symmetric
pprfs Improves the computed solution to a symmetric positive
pprfs
pprfs
pprfs
ppsv
ppsv
ppsv
ppsv Solves a symmetric positive definite system of linear
ppsvx Solves a symmetric positive definite system of linear
ppsvx
ppsvx
ppsvx
pptrf Computes the Cholesky factorization of a symmetric
pptrf
pptrf
pptrf
pptri
pptri Computes the inverse of a symmetric positive definite
pptri
pptri
pptrs
pptrs
pptrs
pptrs Solves a symmetric positive definite system of linear
ptcon
ptcon Computes the reciprocal of the condition number of a
ptcon
ptcon
pteqr
pteqr Computes all eigenvalues and eigenvectors of a real symmetric
pteqr
pteqr
ptrfs Improves the computed solution to a symmetric positive
ptrfs
ptrfs
ptrfs
ptsv
ptsv
ptsv Solves a symmetric positive definite tridiagonal system
ptsv
ptsvx Solves a symmetric positive definite tridiagonal
ptsvx
ptsvx
ptsvx
pttrf
pttrf
pttrf
pttrf Computes the LDL**H factorization of a symmetric
pttrs Solves a symmetric positive definite tridiagonal
pttrs
pttrs
pttrs
sbev
sbev Computes all eigenvalues, and optionally, eigenvectors of a real
sbevd Computes all eigenvalues, and optionally, eigenvectors of a real
sbevd
sbevx
sbevx Computes selected eigenvalues and eigenvectors of a
sbgst
sbgst Reduces a real symmetric-definite banded generalized eigenproblem
sbgv Computes all the eigenvalues, and optionally, the eigenvectors
sbgv
sbgvd
sbgvd Computes all the eigenvalues, and optionally, the eigenvectors
sbgvx
sbgvx Computes selected eigenvalues, and optionally, the eigenvectors
sbtrd
sbtrd Reduces a symmetric band matrix to real symmetric
slamch
spcon
spcon
spcon
spcon Estimates the reciprocal of the condition number of a
spev
spev Computes all eigenvalues, and optionally, eigenvectors of a real
spevd Computes all eigenvalues, and optionally, eigenvectors of a real
spevd
spevx
spevx Computes selected eigenvalues and eigenvectors of a
spgst Reduces a symmetric-definite generalized eigenproblem
spgst
spgv
spgv Computes all eigenvalues and eigenvectors of a generalized
spgvd Computes all eigenvalues and eigenvectors of a generalized
spgvd
spgvx
spgvx Computes selected eigenvalues, and optionally, eigenvectors of
sprfs Improves the computed solution to a real
sprfs
sprfs
sprfs
spsv
spsv Solves a real symmetric indefinite system of linear equations AX=B,
spsv
spsv
spsvx
spsvx
spsvx
spsvx Solves a real symmetric
sptrd
sptrd Reduces a symmetric matrix in packed storage to real
sptrf Computes the factorization of a real
sptrf
sptrf
sptrf
sptri
sptri Computes the inverse of a real symmetric
sptri
sptri
sptrs Solves a real symmetric
sptrs
sptrs
sptrs
stebz Computes selected eigenvalues of a real symmetric tridiagonal
stebz
stedc Computes all eigenvalues and, optionally, eigenvectors of a
stedc
stedc
stedc
stegr Computes selected eigenvalues and, optionally, eigenvectors of a
stegr
stegr
stegr
stein
stein
stein
stein Computes selected eigenvectors of a real symmetric tridiagonal
steqr
steqr
steqr
steqr Computes all eigenvalues and eigenvectors of a real symmetric
sterf
sterf Computes all eigenvalues of a real symmetric tridiagonal matrix,
stev
stev Computes all eigenvalues, and optionally, eigenvectors of a real
stevd
stevd Computes all eigenvalues, and optionally, eigenvectors of a real
stevr Computes selected eigenvalues, and optionally, eigenvectors of a real
stevr
stevx Computes selected eigenvalues and eigenvectors of a real
stevx
sycon
sycon
sycon
sycon Estimates the reciprocal of the condition number of a
syev Computes all eigenvalues, and optionally, eigenvectors of a real
syev
syevd Computes all eigenvalues, and optionally, eigenvectors of a real
syevd
syevr
syevr Computes selected eigenvalues, and optionally, eigenvectors of a real
syevx
syevx Computes selected eigenvalues and eigenvectors of a symmetric matrix.
sygst
sygst Reduces a symmetric-definite generalized eigenproblem
sygv
sygv Computes all eigenvalues and the eigenvectors of a generalized
sygvd
sygvd Computes all eigenvalues and the eigenvectors of a generalized
sygvx Computes selected eigenvalues, and optionally, the eigenvectors of
sygvx
syrfs
syrfs
syrfs
syrfs Improves the computed solution to a real
sysv Solves a real symmetric indefinite system of linear equations AX=B.
sysv
sysv
sysv
sysvx
sysvx
sysvx
sysvx Solves a real symmetric
sytrd
sytrd Reduces a symmetric matrix to real symmetric tridiagonal
sytrf
sytrf
sytrf
sytrf Computes the factorization of a real symmetric-indefinite matrix,
sytri
sytri
sytri
sytri Computes the inverse of a real symmetric indefinite matrix,
sytrs
sytrs
sytrs
sytrs Solves a real symmetric indefinite system of linear equations AX=B,
tbcon Estimates the reciprocal of the condition number of a triangular
tbcon
tbcon
tbcon
tbrfs Provides forward and backward error bounds for the solution
tbrfs
tbrfs
tbrfs
tbtrs
tbtrs
tbtrs
tbtrs Solves a triangular banded system of linear equations AX=B,
tgevc
tgevc
tgevc
tgevc Computes some or all of the right and/or left generalized eigenvectors
tgexc
tgexc
tgexc
tgexc Reorders the generalized real Schur decomposition of a real
tgsen
tgsen
tgsen
tgsen Reorders the generalized real Schur decomposition of a real
tgsja
tgsja
tgsja
tgsja Computes the generalized singular value decomposition of two real
tgsna
tgsna
tgsna
tgsna Estimates reciprocal condition numbers for specified
tgsyl
tgsyl Solves the generalized Sylvester equation.
tgsyl
tgsyl
tpcon
tpcon
tpcon
tpcon Estimates the reciprocal of the condition number of a triangular
tprfs
tprfs
tprfs
tprfs Provides forward and backward error bounds for the solution
tptri
tptri
tptri Computes the inverse of a triangular matrix in packed storage.
tptri
tptrs
tptrs
tptrs
tptrs Solves a triangular system of linear equations AX=B,
trcon
trcon
trcon
trcon Estimates the reciprocal of the condition number of a triangular
trevc
trevc
trevc
trevc Computes some or all of the right and/or left eigenvectors of
trexc Reorders the Schur factorization of a matrix by an orthogonal
trexc
trexc
trexc
trrfs Provides forward and backward error bounds for the solution
trrfs
trrfs
trrfs
trsen Reorders the Schur factorization of a matrix in order to find
trsen
trsen
trsen
trsna Estimates the reciprocal condition numbers (sensitivities)
trsna
trsna
trsna
trsyl
trsyl
trsyl Solves the Sylvester matrix equation A X +/- X B=C where A
trsyl
trtri Computes the inverse of a triangular matrix.
trtri
trtri
trtri
trtrs
trtrs
trtrs
trtrs Solves a triangular system of linear equations AX=B,
tzrqf
tzrqf
tzrqf
tzrqf Computes an RQ factorization of an upper trapezoidal matrix.
tzrzf
tzrzf
tzrzf
tzrzf Computes an RZ factorization of an upper trapezoidal matrix
ungbr Generates the unitary transformation matrices from
ungbr
unghr Generates the unitary transformation matrix from
unghr
unglq Generates all or part of the unitary matrix Q from
unglq
ungql Generates all or part of the unitary matrix Q from
ungql
ungqr Generates all or part of the unitary matrix Q from
ungqr
ungrq Generates all or part of the unitary matrix Q from
ungrq
ungtr Generates the unitary transformation matrix from
ungtr
unmbr
unmbr Multiplies a general matrix by one of the unitary
unmhr Multiplies a general matrix by the unitary transformation
unmhr
unmlq Multiplies a general matrix by the unitary matrix
unmlq
unmql Multiplies a general matrix by the unitary matrix
unmql
unmqr Multiplies a general matrix by the unitary matrix
unmqr
unmr3 Multiples a general matrix by the unitary matrix
unmr3
unmrq Multiplies a general matrix by the unitary matrix
unmrq
unmrz Multiples a general matrix by the unitary matrix
unmrz
unmtr
unmtr Multiplies a general matrix by the unitary
upgtr Generates the unitary transformation matrix from
upgtr
upmtr Multiplies a general matrix by the unitary
upmtr

Authors

William V. Baxter III (with slight modifications by Lars Tandle Kyllingstad).

Copyright

Copyright (c) 2009, Lars T. Kyllingstad. All rights reserved.

License

Boost License 1.0