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Index by Keyword

"
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