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  Contents
"
- absolute error
,
,
- absolute gap
,
,
,
- accuracy
,
,
,
- accuracy
- high
,
,
,
,
- angle between vectors and subspaces
,
,
,
,
,
,
,
,
,
,
,
,
- arguments
- ABNRM
,
- arrays
,
- BALANC
,
- BBNRM
- BERR
- description conventions
- DIAG
- dimensions
- FERR
,
- ILO and IHI
,
,
- INFO
,
,
- LDA
,
- LSCALE
- LWORK
- options
- order of
- RANK
- RCOND
- RCONDE
,
,
,
- RCONDV
,
,
,
- RSCALE
- SCALE
- UPLO
- work space
- ARPACK
,
- auxiliary routines
- Auxiliary Routines, index of: see Appendix B
- avoiding poor performance
- backward error
,
,
,
,
,
,
- backward stability
,
,
,
,
,
- backward stability
- componentwise
,
- normwise
- BAKVEC (EISPACK)
- BALANC (EISPACK)
- balancing and conditioning, eigenproblems
- balancing of eigenproblems
,
- BALBAK (EISPACK)
- BANDR (EISPACK)
,
- BANDV (EISPACK)
,
- basis, orthonormal
- bidiagonal
form
,
,
- BISECT (EISPACK)
- BLAS
,
,
- BLAS
- Level 1
- Level 2
,
,
- Level 3
,
- Level 3, fast
,
- quick reference guide: see Appendix C
- block algorithm
- block size
- block size
- determination of
- from ILAENV
- tuning ILAENV
- block width
- blocked algorithms, performance
- BQR (EISPACK)
,
- bug reports
- bug reports
- checklist
- bug
reports
- mailing alias
- cache
,
- CAPSS
,
- CBABK2 (EISPACK)
- CBAL (EISPACK)
,
- CBDSDC
- CBDSQR
,
,
,
,
,
- CG (EISPACK)
- CGBBRD
,
,
- CGBCON
,
,
- CGBEQU
,
,
,
- CGBRFS
,
,
- CGBSV
,
- CGBSVX
,
,
- CGBTRF
,
,
,
,
,
- CGBTRS
,
,
- CGEBAK
,
,
,
- CGEBAL
,
,
,
,
,
,
- CGEBRD
,
,
,
,
,
,
,
- CGECON
,
,
- CGEEQU
,
,
,
- CGEES
,
,
,
- CGEESX
,
,
,
,
,
- CGEEV
,
,
,
,
- CGEEVX
,
,
,
,
,
- CGEHRD
,
,
,
,
,
,
,
,
,
- CGELQF
,
,
,
,
,
,
- CGELS
,
,
,
,
- CGELSD
,
,
,
,
,
,
,
- CGELSS
,
,
,
,
,
,
- CGELSX
,
,
,
- CGELSY
,
,
,
,
,
- CGEQLF
,
,
,
,
,
- CGEQP3
,
,
- CGEQPF
- CGEQRF
,
,
,
,
,
,
,
- CGERFS
,
,
- CGERQF
,
,
,
,
,
- CGESDD
,
,
,
,
,
,
,
- CGESV
,
- CGESVD
,
,
,
,
,
,
,
- CGESVX
,
,
- CGETRF
,
,
,
,
,
,
- CGETRI
,
,
,
- CGETRS
,
,
- CGGBAK
,
,
- CGGBAL
,
,
,
,
- CGGES
,
,
- CGGESX
,
,
,
- CGGEV
,
,
- CGGEVX
,
,
,
,
- CGGGLM
,
,
- CGGHRD
,
,
- CGGLSE
,
- CGGQRF
,
- CGGRQF
,
- CGGSVD
,
,
,
- CGGSVP
,
,
,
- CGTCON
,
,
- CGTRFS
,
,
- CGTSV
,
- CGTSVX
,
- CGTTRF
,
,
,
,
- CGTTRS
,
,
- CH (EISPACK)
- CHBEV
,
,
- CHBEVD
,
,
,
- CHBEVX
,
,
- CHBGST
,
,
- CHBGV
,
,
- CHBGVD
,
,
,
- CHBGVX
,
,
- CHBTRD
,
,
,
- CHECON
,
,
,
- CHEEV
,
,
,
- CHEEVD
,
,
,
- CHEEVR
,
,
,
,
- CHEEVX
,
,
- CHEGST
,
,
- CHEGV
,
,
,
- CHEGVD
,
,
,
- CHEGVX
,
,
- CHERFS
,
,
- CHESV
,
- CHESVX
,
- CHETRD
,
,
,
,
,
,
- CHETRF
,
,
,
,
,
,
- CHETRI
,
,
,
- CHETRS
,
,
,
- CHGEQZ
,
,
- CHICO (LINPACK)
- CHIDI (LINPACK)
- CHIFA (LINPACK)
,
,
- CHISL (LINPACK)
- Cholesky factorization
- blocked form
- split
- chordal distance
,
- CHPCO (LINPACK)
- CHPCON
,
,
,
- CHPDI (LINPACK)
- CHPEV
,
,
- CHPEVD
,
,
,
- CHPEVX
,
,
- CHPFA (LINPACK)
,
,
- CHPGST
,
- CHPGV
,
,
- CHPGVD
,
,
,
- CHPGVX
,
,
- CHPRFS
,
,
- CHPSL (LINPACK)
- CHPSV
,
- CHPSVX
,
- CHPTRD
,
,
,
,
,
- CHPTRF
,
,
,
,
,
,
,
- CHPTRI
,
,
,
- CHPTRS
,
,
,
- CHSEIN
,
,
,
- CHSEQR
,
,
,
,
,
,
,
,
,
,
- CINVIT (EISPACK)
- CLAPACK
- cluster
- eigenvalues
- eigenvalues
- error bound
- generalized eigenvalues
- error bound
- singular values
- COMBAK (EISPACK)
- COMHES (EISPACK)
,
,
- COMLR (EISPACK)
- COMLR2 (EISPACK)
- commercial use
- complete orthogonal factorization
- computational routines
,
- Computational Routines, index of: see Appendix A
- COMQR (EISPACK)
,
- COMQR2 (EISPACK)
- condensed form
- reduction to
- condition number
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
,
- condition number
- estimate
,
,
,
- CORTB (EISPACK)
- CORTH (EISPACK)
,
,
- Cosine-Sine decomposition
- CPBCON
,
,
- CPBEQU
,
,
,
- CPBRFS
,
,
- CPBSTF
,
,
- CPBSV
,
- CPBSVX
,
- CPBTRF
,
,
,
,
,
- CPBTRS
,
,
- CPOCON
,
,
- CPOEQU
,
,
,
- CPORFS
,
,
- CPOSV
,
- CPOSVX
,
- CPOTRF
,
,
,
,
,
,
,
- CPOTRI
,
,
,
- CPOTRS
,
,
- CPPCON
,
,
- CPPEQU
,
,
,
- CPPRFS
,
,
- CPPSV
,
- CPPSVX
,
- CPPTRF
,
,
,
,
,
,
- CPPTRI
,
,
- CPPTRS
,
,
- CPTCON
,
,
,
- CPTEQR
,
,
,
- CPTRFS
,
,
- CPTSV
,
- CPTSVX
,
- CPTTRF
,
,
,
,
- CPTTRS
,
,
- Crawford's algorithm
- crossover point
- CSPCON
,
,
- CSPRFS
,
,
- CSPSV
,
- CSPSVX
,
- CSPTRF
,
,
,
,
,
,
- CSPTRI
,
,
- CSPTRS
,
,
- CSTEDC
,
,
,
,
,
,
- CSTEGR
,
,
,
,
,
,
,
,
- CSTEIN
,
,
,
,
,
- CSTEQR
,
,
,
,
- CSYCON
,
,
- CSYEVR
- CSYRFS
,
,
- CSYSV
,
- CSYSVX
,
- CSYTRD
- CSYTRF
,
,
,
,
,
- CSYTRI
,
,
- CSYTRS
,
,
- CTBCON
,
,
- CTBRFS
,
,
- CTBTRS
,
,
- CTGEVC
,
,
- CTGEXC
,
,
,
- CTGSEN
,
,
,
- CTGSJA
,
,
,
- CTGSNA
,
,
,
- CTGSYL
,
,
,
- CTPCON
,
,
- CTPRFS
,
,
- CTPTRI
,
,
- CTPTRS
,
,
- CTRCON
,
,
,
- CTREVC
,
,
,
,
- CTREXC
,
,
,
- CTRRFS
,
,
- CTRSEN
,
,
,
- CTRSNA
,
,
,
- CTRSYL
,
,
,
- CTRTRI
,
,
,
- CTRTRS
,
,
,
,
- CTZRQF
- CTZRZF
,
,
,
- CUNGBR
,
,
- CUNGHR
,
,
,
,
- CUNGLQ
,
,
,
- CUNGQL
,
,
- CUNGQR
,
,
,
,
- CUNGRQ
,
,
- CUNGTR
,
- CUNMBR
,
,
- CUNMHR
,
,
,
,
- CUNMLQ
,
,
,
- CUNMQL
,
,
- CUNMQR
,
,
,
,
,
,
,
,
- CUNMRQ
,
,
,
,
- CUNMRZ
,
,
- CUNMTR
,
,
,
,
- CUPGTR
,
,
- CUPMTR
,
,
- Cuppen's divide and conquer algorithm
- cycle time
- data movement
- DBDSDC
,
,
,
,
- DBDSQR
,
,
,
,
- DCHDC (LINPACK)
- DCHDD (LINPACK)
- DCHEX (LINPACK)
- DCHUD (LINPACK)
- DDISNA
,
- debugging hints
- installation
- debugging
- release_notes
- deflating subspaces
,
,
- deflating subspaces
- error bound
- DGBBRD
,
- DGBCO (LINPACK)
- DGBCON
,
,
- DGBDI (LINPACK)
- DGBEQU
,
- DGBFA (LINPACK)
- DGBRFS
,
- DGBSL (LINPACK)
- DGBSV
- DGBSVX
,
- DGBTRF
,
,
,
- DGBTRS
,
,
- DGEBAK
,
- DGEBAL
,
,
,
- DGEBRD
,
,
,
,
- DGECO (LINPACK)
- DGECON
,
,
- DGEDI (LINPACK)
- DGEEQU
,
- DGEES
,
,
- DGEESX
,
,
,
,
- DGEEV
,
,
,
- DGEEVX
,
,
,
,
- DGEFA (LINPACK)
- DGEHRD
,
,
,
,
- DGELQF
,
,
- DGELS
,
,
,
,
- DGELSD
,
,
,
,
,
,
,
,
,
- DGELSS
,
,
,
,
,
,
- DGELSX
,
,
,
,
- DGELSY
,
,
,
,
,
- DGEQLF
,
- DGEQP3
,
- DGEQPF
,
- DGEQRF
,
,
,
,
,
- DGERFS
,
- DGERQF
,
- DGESDD
,
,
,
,
,
,
,
,
,
- DGESL (LINPACK)
- DGESV
,
- DGESVD
,
,
,
,
,
,
,
,
,
,
- DGESVX
,
- DGETRF
,
,
,
,
- DGETRI
,
,
- DGETRS
,
,
- DGGBAK
,
- DGGBAL
,
,
- DGGES
,
- DGGESX
,
,
- DGGEV
,
- DGGEVX
,
,
,
- DGGGLM
,
- DGGHRD
,
- DGGLSE
- DGGQRF
- DGGRQF
- DGGSVD
,
,
- DGGSVP
,
- DGTCON
,
- DGTRFS
,
- DGTSL (LINPACK)
- DGTSV
,
- DGTSVX
- DGTTRF
,
- DGTTRS
,
- DHEEVR
- DHGEQZ
,
- DHSEIN
,
- DHSEQR
,
,
,
,
,
- diagonal pivoting method
,
,
,
- distributed memory
,
- divide and conquer
- divide and conquer
- least squares
,
- SVD
- DLALSD
- DLAMCH
,
,
,
- DLASV2
- documentation
- installation guide
- documentation, structure
- DOPGTR
,
- DOPMTR
,
- DORGBR
,
- DORGHR
,
- DORGLQ
,
- DORGQL
- DORGQR
,
,
- DORGRQ
- DORGTR
,
- DORMBR
,
,
- DORMHR
,
,
- DORMLQ
,
,
- DORMQL
- DORMQR
,
,
,
,
,
,
,
- DORMRQ
,
,
- DORMRZ
,
- DORMTR
,
- DPBCO (LINPACK)
- DPBCON
,
,
- DPBDI (LINPACK)
- DPBEQU
,
- DPBFA (LINPACK)
- DPBRFS
,
- DPBSL (LINPACK)
- DPBSTF
,
- DPBSV
- DPBSVX
- DPBTRF
,
,
,
- DPBTRS
,
,
- DPOCO (LINPACK)
- DPOCON
,
,
- DPODI (LINPACK)
- DPOEQU
,
- DPOFA (LINPACK)
- DPORFS
,
- DPOSL (LINPACK)
- DPOSV
- DPOSVX
- DPOTRF
,
,
,
,
- DPOTRI
,
,
- DPOTRS
,
,
- DPPCO (LINPACK)
,
- DPPCON
,
,
- DPPDI (LINPACK)
- DPPEQU
,
- DPPFA (LINPACK)
- DPPRFS
,
- DPPSL (LINPACK)
- DPPSV
- DPPSVX
- DPPTRF
,
,
,
- DPPTRI
,
,
- DPPTRS
,
,
- DPTCON
,
,
- DPTEQR
,
,
- DPTRFS
,
- DPTSL (LINPACK)
- DPTSV
,
- DPTSVX
- DPTTRF
,
- DPTTRS
,
- DQRDC (LINPACK)
- DQRSL (LINPACK)
- driver routine
- generalized least squares
- generalized nonsymmetric eigenvalue problem
,
- generalized SVD
- generalized symmetric definite eigenvalue problem
- linear equations
- linear least squares
- nonsymmetric eigenvalue
problem
- symmetric tridiagonal eigenvalue problem
- driver routines
,
- driver routines
- divide and conquer
,
,
- expert
,
- simple
,
- Driver Routines, index of: see
Appendix A
- DSBEV
,
- DSBEVD
,
,
- DSBEVX
,
- DSBGST
,
- DSBGV
,
- DSBGVD
,
,
- DSBGVX
,
- DSBTRD
,
,
- DSICO (LINPACK)
- DSIDI (LINPACK)
- DSIFA (LINPACK)
- DSISL (LINPACK)
- DSPCO (LINPACK)
- DSPCON
,
,
- DSPDI (LINPACK)
- DSPEV
,
- DSPEVD
,
,
- DSPEVX
,
- DSPFA (LINPACK)
- DSPGST
- DSPGV
,
- DSPGVD
,
,
- DSPGVX
,
- DSPRFS
,
- DSPSL (LINPACK)
- DSPSV
- DSPSVX
- DSPTRD
,
- DSPTRF
,
,
,
- DSPTRI
,
,
- DSPTRS
,
,
- DSTEBZ
,
,
- DSTEDC
,
,
,
,
,
,
- DSTEGR
,
,
,
,
,
,
,
,
- DSTEIN
,
,
,
,
- DSTEQR
,
,
,
,
- DSTERF
,
,
- DSTEV
,
,
- DSTEVD
,
,
,
- DSTEVR
,
,
,
,
- DSTEVX
,
,
- DSVDC (LINPACK)
- DSYCON
,
,
- DSYEV
,
,
- DSYEVD
,
,
,
- DSYEVR
,
,
,
,
- DSYEVX
,
,
- DSYGST
- DSYGV
,
,
,
- DSYGVD
,
,
- DSYGVX
,
- DSYRFS
,
- DSYSV
- DSYSVX
- DSYTRD
,
,
,
,
- DSYTRF
,
,
,
,
,
- DSYTRI
,
,
- DSYTRS
,
,
- DTBCON
,
- DTBRFS
,
- DTBTRS
,
- DTGEVC
,
- DTGEXC
,
,
- DTGSEN
,
,
- DTGSJA
,
,
- DTGSNA
,
,
- DTGSYL
,
,
- DTPCON
,
- DTPRFS
,
- DTPTRI
,
- DTPTRS
,
- DTRCO (LINPACK)
- DTRCON
,
,
,
- DTRDI (LINPACK)
- DTREVC
,
- DTREXC
,
,
- DTRRFS
,
- DTRSEN
,
,
- DTRSL (LINPACK)
- DTRSNA
,
,
- DTRSYL
,
,
- DTRTRI
,
,
- DTRTRS
,
,
,
,
- DTZRQF
- DTZRZF
,
- effective rank
- efficiency
- eigendecomposition
- blocked form
- multishift QR iteration
- symmetric
- eigenvalue
,
,
,
,
,
- eigenvalue problem
- ill-conditioned
- singular
,
- eigenvalue
- error bound
,
,
,
,
,
,
,
,
,
,
- generalized
- generalized
- ordering of
- GNEP
- GSEP
- infinite
- NEP
- nontrivial
- ordering of
,
,
- sensitivity of
,
- sensitivity of
- generalized
,
- SEP
- trivial
- eigenvector
,
,
- eigenvector
- error bound
,
,
,
,
,
,
,
,
,
,
- GNEP
- GNEP
- left
- right
- GSEP
- left
,
,
- left
- generalized
- NEP
- right
,
,
- right
- generalized
- SEP
- EISPACK
,
,
,
- EISPACK
- converting from: see Appendix D
- elementary Householder matrix, see Householder matrix
,
,
,
,
,
- elementary reflector, see Householder matrix
,
,
,
,
- ELMBAK (EISPACK)
- ELMHES (EISPACK)
,
,
- ELTRAN (EISPACK)
- equality-constrained least squares
- equilibration
,
- errata
- error bounds
- error bounds
- clustered eigenvalues
,
- generalized nonsymmetric eigenproblem
,
- generalized singular value decomposition
,
,
- generalized symmetric definite eigenproblem
,
- linear equations
,
- linear least squares
,
- nonsymmetric eigenproblem
,
- required for fast Level 3 BLAS
- singular value decomposition
,
- symmetric eigenproblem
,
- error handler, XERBLA
,
,
- error
- absolute
,
,
- analysis
- backward
,
,
,
,
,
,
- measurement of
- measurement of
- matrix
,
- scalar
,
- subspace
,
- vector
,
- relative
,
,
,
,
,
,
,
- failures
- failures
- common causes
- error handling
- INFO
- FAQ
- LAPACK
- FIGI (EISPACK)
,
- FIGI2 (EISPACK)
- floating-point arithmetic
- floating-point arithmetic
- guard digit
- IEEE standard
- infinity
- machine precision
,
- NaN
- Not-a-Number
- overflow
,
,
,
,
,
,
,
,
- roundoff error
- underflow
,
,
,
- forward error
- forward stability
- forward stability
- componentwise relative
- gap
,
,
,
,
,
- general linear model problem
- generalized eigenproblem
- nonsymmetric
- symmetric definite
- symmetric definite banded
- generalized eigenvalue
- error bound
- generalized eigenvector
- error bound
- generalized Hessenberg form
- reduction to
- generalized least squares
- generalized orthogonal factorization
- generalized Schur vectors
- generalized singular value
- generalized singular value decomposition
,
- generalized singular value decomposition
- special cases
- Givens rotation
,
,
- GLM
,
,
- GNEP
- GQR
,
,
,
,
- GRQ
,
,
- GSEP
- GSVD
,
,
- guard digit
- GUPTRI
- Hessenberg form
,
,
- Hessenberg form
- reduction to
- upper
- Householder matrix
,
- Householder matrix
- complex
- Householder transformation - blocked form
- Householder vector
- HQR (EISPACK)
,
- HQR2 (EISPACK)
- HTRIB3 (EISPACK)
- HTRIBK (EISPACK)
- HTRID3 (EISPACK)
,
,
- HTRIDI (EISPACK)
,
,
- ILAENV
,
,
,
,
,
,
,
- ill-conditioned
- ill-posed
- IMTQL1 (EISPACK)
,
,
- IMTQL2 (EISPACK)
,
- IMTQLV (EISPACK)
- infinity
- INFO
,
- input error
- installation
- installation guide
- installation
- ILAENV
- LAPACK
- xLAMCH
,
- xLAMCH
- cost of
- invariant subspaces
,
,
- invariant subspaces
- error bound
,
- inverse iteration
,
- INVIT (EISPACK)
- iterative refinement
,
- JLAPACK
- LAPACK
- commercial use of
- prebuilt libraries, availability of
- LAPACK++
- LAPACK90
- LDLT factorization
- linear equations
- linear least
squares problem
,
,
,
,
- linear least squares problem
- generalized
- generalized
- equality-constrained
(LSE)
,
- regression model (GLM)
- overdetermined
- overdetermined system
- rank-deficient
,
,
- regularization
- underdetermined
- weighted
- linear systems, solution of
,
- LINPACK
,
,
- LINPACK
- converting from: see Appendix D
- LLS
,
- local memory
- LQ factorization
- LSAME
- LSAMEN
- LSE
,
,
,
- LU factorization
- LU factorization
- blocked form
- matrix types
- LWORK
- LWORK query
- machine parameters
,
- machine precision
,
- matrix inversion
- MINFIT (EISPACK)
- minimum norm
least squares solution
- minimum norm solution
,
,
,
- multishift QR algorithm, tuning
- naming scheme
- naming scheme
- auxiliary
- driver and
computational
- NaN
- NEP
- netlib
- netlib
- mirror
repositories
- nonsymmetric eigenproblem
- nonsymmetric eigenproblem
- generalized
,
- norm
- Frobenius norm
,
- infinity norm
- matrix
,
- one norm
- two norm
,
- vector
,
- normalization
- Not-a-Number
- numerical error, sources of
- numerical error, sources of
- input error
- roundoff error
,
- ORTBAK (EISPACK)
- ORTHES (EISPACK)
,
- orthogonal factorization
- generalized
- orthogonal (unitary) factorizations
- orthogonal
(unitary) transformation
,
- ORTRAN (EISPACK)
- overdetermined system
,
,
,
- overflow
,
,
,
,
,
,
,
,
- parallelism
- compiler directives
- loop-based
- ParPre
- pencil
- performance
,
- performance
- block size
- crossover point
- LWORK
- recommendations
- sensitivity
- permutation
- portability
,
,
- prebuilt libraries
- lapack
- QL factorization
- QL factorization
- implicit
- QR decomposition
- with pivoting
- QR factorization
- QR factorization
- blocked form
- generalized (GQR)
,
,
- implicit
- with pivoting
- query
- quotient singular value decomposition
,
- QZ method
- QZHES (EISPACK)
,
- QZIT (EISPACK)
- QZVAL (EISPACK)
- QZVEC (EISPACK)
- rank
- numerical determination of
,
,
- RATQR (EISPACK)
,
- REBAK (EISPACK)
- REBAKB (EISPACK)
- REDUC (EISPACK)
,
- REDUC2 (EISPACK)
,
,
- reduction
- bidiagonal
- tridiagonal
,
- upper Hessenberg
- regression, generalized linear
- regularization
- relative error
,
,
,
,
,
,
,
- relative gap
,
- reliability, see test suites
,
- reporting bugs, see bug reports
- RG (EISPACK)
- RGG (EISPACK)
- roundoff error
,
- RQ factorization
- RQ factorization
- generalized (GRQ)
,
,
- RS (EISPACK)
- RSB (EISPACK)
,
- RSG (EISPACK)
- RSGAB (EISPACK)
- RSGBA (EISPACK)
- RSM (EISPACK)
- RSP (EISPACK)
- RST (EISPACK)
,
- RT (EISPACK)
- s and dif
- s and sep
- SBDSDC
,
,
,
,
,
- SBDSQR
,
,
,
,
,
- ScaLAPACK
- scaling
,
,
,
- SCHDC (LINPACK)
- SCHDD (LINPACK)
- SCHEX (LINPACK)
- SCHUD (LINPACK)
- Schur decomposition
- generalized
- Schur factorization
,
- Schur factorization
- generalized
- Schur form
,
,
,
- Schur form
- generalized
,
,
- Schur vectors
,
- Schur vectors
- generalized
,
- SDISNA
,
- SEP
,
- separation of matrices
- separation of two matrix pairs
- SGBBRD
,
,
- SGBCO (LINPACK)
,
,
- SGBCON
,
,
,
- SGBDI (LINPACK)
- SGBEQU
,
,
,
- SGBFA (LINPACK)
,
,
- SGBRFS
,
,
- SGBSL (LINPACK)
- SGBSV
,
,
- SGBSVX
,
,
- SGBTRF
,
,
,
,
,
,
,
- SGBTRS
,
,
,
- SGEBAK
,
,
,
- SGEBAL
,
,
,
,
,
,
- SGEBRD
,
,
,
,
,
,
,
,
- SGECO (LINPACK)
,
,
- SGECON
,
,
,
- SGEDI (LINPACK)
- SGEEQU
,
,
,
- SGEES
,
,
,
- SGEESX
,
,
,
,
,
- SGEEV
,
,
,
,
- SGEEVX
,
,
,
,
,
- SGEFA (LINPACK)
,
,
- SGEGV
- SGEHRD
,
,
,
,
,
,
,
,
,
- SGELQF
,
,
,
,
,
,
,
,
- SGELS
,
,
,
,
- SGELSD
,
,
,
,
,
,
,
,
,
,
- SGELSS
,
,
,
,
,
,
,
,
- SGELSX
,
,
,
,
- SGELSY
,
,
,
,
,
,
- SGEQLF
,
,
,
,
,
,
,
- SGEQP3
,
,
- SGEQPF
,
- SGEQRF
,
,
,
,
,
,
,
,
,
,
,
,
- SGERFS
,
,
- SGERQF
,
,
,
,
,
,
,
- SGESDD
,
,
,
,
,
,
,
,
,
- SGESL (LINPACK)
- SGESV
,
,
,
- SGESVD
,
,
,
,
,
,
,
,
,
- SGESVX
,
,
,
,
,
- SGETRF
,
,
,
,
,
,
,
,
- SGETRI
,
,
,
,
- SGETRS
,
,
,
- SGGBAK
,
,
- SGGBAL
,
,
,
,
- SGGES
,
,
- SGGESX
,
,
,
- SGGEV
,
,
- SGGEVX
,
,
,
,
- SGGGLM
,
,
- SGGHRD
,
,
,
- SGGLSE
,
- SGGQRF
,
- SGGRQF
,
- SGGSVD
,
,
,
- SGGSVP
,
,
,
- SGTCON
,
,
- SGTRFS
,
,
- SGTSL (LINPACK)
- SGTSV
,
,
- SGTSVX
,
- SGTTRF
,
,
,
,
- SGTTRS
,
,
- shared memory
- SHEEVR
- SHGEQZ
,
,
,
- SHSEIN
,
,
,
- SHSEQR
,
,
,
,
,
,
,
,
- similarity transformation
- singular value
- singular value decomposition
- generalized
,
- singular value
decomposition
,
- singular value decomposition
- generalized
- special cases
- singular value decomposition (SVD)
,
- singular value
- error bound
,
,
,
,
- generalized
- singular vector
- error bound
,
,
- singular vectors
- left
,
- right
,
- SLALSD
- SLAMCH
,
,
,
,
- SLASV2
- SOPGTR
,
,
- SOPMTR
,
,
,
- SORGBR
,
,
- SORGHR
,
,
,
,
- SORGLQ
,
,
,
- SORGQL
,
,
- SORGQR
,
,
,
,
- SORGRQ
,
,
- SORGTR
,
,
,
- SORMBR
,
,
,
- SORMHR
,
,
,
,
,
- SORMLQ
,
,
,
,
- SORMQL
,
,
- SORMQR
,
,
,
,
,
,
,
,
,
- SORMRQ
,
,
,
,
- SORMRZ
,
,
- SORMTR
,
,
,
- source code
- SPBCO (LINPACK)
,
,
- SPBCON
,
,
,
- SPBDI (LINPACK)
- SPBEQU
,
,
,
- SPBFA (LINPACK)
,
,
- SPBRFS
,
,
- SPBSL (LINPACK)
- SPBSTF
,
,
- SPBSV
,
- SPBSVX
,
- SPBTRF
,
,
,
,
,
,
,
- SPBTRS
,
,
,
- spectral factorization
- spectral projector
- split Cholesky factorization
- SPOCO (LINPACK)
,
,
- SPOCON
,
,
,
- SPODI (LINPACK)
- SPOEQU
,
,
,
- SPOFA (LINPACK)
,
,
,
,
- SPORFS
,
,
- SPOSL (LINPACK)
- SPOSV
,
- SPOSVX
,
- SPOTRF
,
,
,
,
,
,
,
,
,
,
,
- SPOTRI
,
,
,
,
- SPOTRS
,
,
,
- SPPCO (LINPACK)
,
,
- SPPCON
,
,
,
- SPPDI (LINPACK)
- SPPEQU
,
,
,
- SPPFA (LINPACK)
,
,
- SPPRFS
,
,
- SPPSL (LINPACK)
- SPPSV
,
- SPPSVX
,
- SPPTRF
,
,
,
,
,
,
,
,
- SPPTRI
,
,
,
- SPPTRS
,
,
,
- SPTCON
,
,
,
- SPTEQR
,
,
,
- SPTRFS
,
,
- SPTSL (LINPACK)
- SPTSV
,
,
- SPTSVX
,
- SPTTRF
,
,
,
,
- SPTTRS
,
,
- SQRDC
(LINPACK)
,
- SQRSL (LINPACK)
- SSBEV
,
,
,
- SSBEVD
,
,
,
,
- SSBEVX
,
,
,
,
- SSBGST
,
,
- SSBGV
,
,
- SSBGVD
,
,
,
- SSBGVX
,
,
- SSBTRD
,
,
,
,
- SSICO (LINPACK)
,
,
- SSIDI (LINPACK)
- SSIFA (LINPACK)
,
,
- SSISL (LINPACK)
- SSPCO (LINPACK)
,
,
- SSPCON
,
,
,
- SSPDI (LINPACK)
- SSPEV
,
,
,
- SSPEVD
,
,
,
,
- SSPEVX
,
,
- SSPFA (LINPACK)
,
,
- SSPGST
,
- SSPGV
,
,
- SSPGVD
,
,
,
- SSPGVX
,
,
- SSPRFS
,
,
- SSPSL (LINPACK)
- SSPSV
,
- SSPSVX
,
- SSPTRD
,
,
,
,
,
- SSPTRF
,
,
,
,
,
,
,
,
- SSPTRI
,
,
,
- SSPTRS
,
,
,
- SSTEBZ
,
,
,
,
,
,
,
,
,
- SSTEDC
,
,
,
,
,
,
,
,
- SSTEGR
,
,
,
,
,
,
,
,
- SSTEIN
,
,
,
,
,
,
,
- SSTEQR
,
,
,
,
,
,
,
,
,
- SSTERF
,
,
,
,
,
,
- SSTEV
,
,
,
- SSTEVD
,
,
,
,
- SSTEVR
,
,
,
,
- SSTEVX
,
,
,
- SSVDC (LINPACK)
- SSYCON
,
,
,
- SSYEV
,
,
,
- SSYEVD
,
,
,
,
- SSYEVR
,
,
,
,
- SSYEVX
,
,
,
- SSYGST
,
,
,
,
- SSYGV
,
,
,
,
,
,
,
- SSYGVD
,
,
,
- SSYGVX
,
,
- SSYRFS
,
,
- SSYSV
,
- SSYSVX
,
- SSYTRD
,
,
,
,
,
,
,
,
,
- SSYTRF
,
,
,
,
,
,
,
,
- SSYTRI
,
,
,
- SSYTRS
,
,
,
- stability
,
- stability
- backward
,
,
,
,
,
,
,
,
- forward
- STBCON
,
,
- STBRFS
,
,
- STBTRS
,
,
- STGEVC
,
,
,
- STGEXC
,
,
,
- STGSEN
,
,
,
- STGSJA
,
,
,
- STGSNA
,
,
,
- STGSYL
,
,
,
- storage scheme
- storage scheme
- band
- band LU
- bidiagonal
- conventional
- diagonal of Hermitian matrix
- Hermitian
- orthogonal or unitary matrices
- packed
- symmetric
- symmetric tridiagonal
- triangular
- unsymmetric tridiagonal
- STPCON
,
,
- STPRFS
,
,
- STPTRI
,
,
- STPTRS
,
,
- Strassen's method
,
- STRCO (LINPACK)
- STRCON
,
,
,
,
- STRDI (LINPACK)
- STREVC
,
,
,
- STREXC
,
,
,
- STRRFS
,
,
- STRSEN
,
,
,
- STRSL (LINPACK)
- STRSNA
,
,
,
- STRSYL
,
,
,
- STRTRI
,
,
,
,
- STRTRS
,
,
,
,
,
- STZRQF
- STZRZF
,
,
,
,
- subspaces
- subspaces
- angle between
,
,
,
,
,
,
,
,
,
,
,
,
- deflating
,
,
- invariant
,
,
- support
- SVD
- SVD (EISPACK)
- Sylvester
equation
,
,
,
- Sylvester equation
- generalized
,
,
- symmetric eigenproblem
- symmetric indefinite factorization
- symmetric indefinite factorization
- blocked form
- test suites
,
- TINVIT (EISPACK)
- TQL1 (EISPACK)
,
- TQL2 (EISPACK)
,
- TQLRAT (EISPACK)
,
- TRBAK1 (EISPACK)
- TRBAK3 (EISPACK)
- TRED1 (EISPACK)
,
,
,
- TRED2 (EISPACK)
,
- TRED3 (EISPACK)
,
,
- tridiagonal form
,
,
,
,
,
,
- TRIDIB (EISPACK)
- troubleshooting
- TSTURM (EISPACK)
- tuning
- block multishift QR: NS, MAXB
- block size: NB, NBMIN, and NX
- divide and conquer
- SVD: NXSVD
- underdetermined system
,
,
,
- underflow
,
,
,
- upper Hessenberg form
- vector registers
- vectorization
- workspace query
- workstation, super-scalar
- wrong results
- XERBLA
,
,
,
- ZBDSDC
- ZBDSQR
,
,
,
,
- ZGBBRD
,
- ZGBCON
,
- ZGBEQU
,
- ZGBRFS
,
- ZGBSV
- ZGBSVX
,
- ZGBTRF
,
- ZGBTRS
,
- ZGEBAK
,
- ZGEBAL
,
,
,
- ZGEBRD
,
,
,
- ZGECON
,
- ZGEEQU
,
- ZGEES
,
,
- ZGEESX
,
,
,
,
- ZGEEV
,
,
- ZGEEVX
,
,
,
,
- ZGEHRD
,
,
,
- ZGELQF
,
,
- ZGELS
,
,
,
- ZGELSD
,
,
,
,
,
,
- ZGELSS
,
,
,
,
,
- ZGELSX
,
,
,
- ZGELSY
,
,
,
,
- ZGEQLF
,
- ZGEQP3
,
- ZGEQPF
- ZGEQRF
,
,
,
- ZGERFS
,
- ZGERQF
,
- ZGESDD
,
,
,
,
,
,
- ZGESV
- ZGESVD
,
,
,
,
,
,
- ZGESVX
,
- ZGETRF
,
- ZGETRI
,
- ZGETRS
,
- ZGGBAK
,
- ZGGBAL
,
,
- ZGGES
,
,
- ZGGESX
,
- ZGGEV
,
- ZGGEVX
,
,
,
- ZGGGLM
,
- ZGGHRD
,
- ZGGLSE
- ZGGQRF
- ZGGRQF
- ZGGSVD
,
,
- ZGGSVP
,
- ZGTCON
,
- ZGTRFS
,
- ZGTSV
- ZGTSVX
- ZGTTRF
,
- ZGTTRS
,
- ZHBEV
,
- ZHBEVD
,
,
- ZHBEVX
,
- ZHBGST
,
- ZHBGV
,
- ZHBGVD
,
,
- ZHBGVX
,
- ZHBTRD
,
,
- ZHECON
,
,
- ZHEEV
,
- ZHEEVD
,
,
- ZHEEVR
,
,
,
- ZHEEVX
,
- ZHEGST
- ZHEGV
,
,
- ZHEGVD
,
,
- ZHEGVX
,
- ZHERFS
,
- ZHESV
- ZHESVX
- ZHETRD
,
- ZHETRF
,
,
- ZHETRI
,
,
- ZHETRS
,
,
- ZHGEQZ
,
- ZHICO (LINPACK)
- ZHIDI (LINPACK)
- ZHIFA (LINPACK)
,
,
- ZHISL (LINPACK)
- ZHPCO (LINPACK)
- ZHPCON
,
,
- ZHPDI (LINPACK)
- ZHPEV
,
- ZHPEVD
,
,
- ZHPEVX
,
- ZHPFA (LINPACK)
,
,
- ZHPGST
- ZHPGV
,
- ZHPGVD
,
,
- ZHPGVX
,
- ZHPRFS
,
- ZHPSL (LINPACK)
- ZHPSV
- ZHPSVX
- ZHPTRD
,
- ZHPTRF
,
,
- ZHPTRI
,
,
- ZHPTRS
,
,
- ZHSEIN
,
- ZHSEQR
,
,
,
,
,
- ZPBCON
,
- ZPBEQU
,
- ZPBRFS
,
- ZPBSTF
,
- ZPBSV
- ZPBSVX
- ZPBTRF
,
- ZPBTRS
,
- ZPOCON
,
- ZPOEQU
,
- ZPORFS
,
- ZPOSV
- ZPOSVX
- ZPOTRF
,
- ZPOTRI
,
- ZPOTRS
,
- ZPPCON
,
- ZPPEQU
,
- ZPPRFS
,
- ZPPSV
- ZPPSVX
- ZPPTRF
,
- ZPPTRI
,
- ZPPTRS
,
- ZPTCON
,
,
- ZPTEQR
,
,
- ZPTRFS
,
- ZPTSV
- ZPTSVX
- ZPTTRF
,
- ZPTTRS
,
- ZSPCON
,
- ZSPRFS
,
- ZSPSV
- ZSPSVX
- ZSPTRF
,
- ZSPTRI
,
- ZSPTRS
,
- ZSTEDC
,
,
,
,
,
- ZSTEGR
,
,
,
,
,
,
,
- ZSTEIN
,
,
,
,
- ZSTEQR
,
,
,
- ZSYCON
,
- ZSYEVR
- ZSYRFS
,
- ZSYSV
- ZSYSVX
- ZSYTRD
- ZSYTRF
,
- ZSYTRI
,
- ZSYTRS
,
- ZTBCON
,
- ZTBRFS
,
- ZTBTRS
,
- ZTGEVC
,
- ZTGEXC
,
,
- ZTGSEN
,
,
- ZTGSJA
,
,
- ZTGSNA
,
,
- ZTGSYL
,
,
- ZTPCON
,
- ZTPRFS
,
- ZTPTRI
,
- ZTPTRS
,
- ZTRCON
,
,
- ZTREVC
,
- ZTREXC
,
,
- ZTRRFS
,
- ZTRSEN
,
,
- ZTRSNA
,
,
- ZTRSYL
,
,
- ZTRTRI
,
- ZTRTRS
,
,
,
- ZTZRQF
- ZTZRZF
,
- ZUNGBR
,
- ZUNGHR
,
- ZUNGLQ
,
- ZUNGQL
- ZUNGQR
,
,
- ZUNGRQ
- ZUNGTR
- ZUNMBR
,
- ZUNMHR
,
- ZUNMLQ
,
- ZUNMQL
- ZUNMQR
,
,
,
,
,
,
- ZUNMRQ
,
,
- ZUNMRZ
,
- ZUNMTR
,
,
- ZUPGTR
,
- ZUPMTR
"
Susan Blackford
1999-10-01