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Index

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absolute error
How to Measure , How to Measure , How to Measure
absolute gap
Further Details: Error , Further Details: Error , Further Details: Error , Further Details: Error
accuracy
Accuracy and Stability, Accuracy and Stability, Further Details: Error , Further Details: Error
accuracy!high
Accuracy and Stability, Improved Error Bounds, Further Details: Error , Further Details: Error , Further Details: Error , Further Details: Error
angle between vectors and subspaces
How to Measure , How to Measure , How to Measure , Further Details: How , Further Details: How , Further Details: Error , Error Bounds for , Error Bounds for , Error Bounds for , Error Bounds for , Further Details: Error , Error Bounds for
arguments!ABNRM
Balancing and Conditioning
arguments!arrays
Array Arguments, Array Arguments
arguments!BALANC
Balancing and Conditioning
arguments!BERR
Further Details: Error
arguments!description conventions
Argument Descriptions
arguments!DIAG
Unit Triangular Matrices
arguments!dimensions
Problem Dimensions
arguments!FERR
Error Bounds for , Further Details: Error
arguments!ILO and IHI
Balancing, Balancing and Conditioning
arguments!INFO
Error Handling and , Invalid Arguments and , Computational Failures and
arguments!LDA
Array Arguments, Invalid Arguments and
arguments!LWORK
Work Arrays
arguments!options
Option Arguments
arguments!order of
Order of Arguments
arguments!RANK
Further Details: Error
arguments!RCOND
How to Measure
arguments!RCONDE
Overview, Computing and
arguments!RCONDV
Overview, Computing and
arguments!SCALE
Balancing and Conditioning
arguments!UPLO
Option Arguments
arguments!work space
Work Arrays
ARPACK
Preface to the
auxiliary routines
Levels of Routines
Auxiliary Routines, index of: see Appendix B
Notes
avoiding poor performance
Poor Performance
backward error
Standard Error Analysis, Standard Error Analysis, Further Details: Error , Further Details: Error , Further Details: Error , Further Details: Error , Further Details: Error
backward stability
Standard Error Analysis, Overview, Further Details: Error , Further Details: Error , Further Details: Error
backward stability!componentwise
Improved Error Bounds, Further Details: Error
backward stability!normwise
Standard Error Analysis
balancing and conditioning, eigenproblems
Generalized Nonsymmetric Eigenproblems
balancing of eigenproblems
Balancing and Conditioning
BANDR (EISPACK)
Notes
BANDV (EISPACK)
Notes
basis, orthonormal
Nonsymmetric Eigenproblems (NEP)
bidiagonal form
Eigenvalue Problems, Representation of Orthogonal
bidiagonal form
Singular Value Decomposition
BLAS
LAPACK and the , The BLAS as
BLAS!Level 1
The BLAS as
BLAS!Level 2
The BLAS as , Block Algorithms and , Block Algorithms and
BLAS!Level 3
The BLAS as , Block Algorithms and
BLAS!Level 3, fast
Accuracy and Stability, Error Bounds for
BLAS!quick reference guide: see Appendix C
Quick Reference\indexBLAS!quick reference guide:
block algorithm
Block Algorithms and
block size
Installing ILAENV
block size!determination of
Determining the Block
block size!from ILAENV
Determining the Block
block size!tuning ILAENV
Determining the Block
block width
Block Algorithms and
blocked algorithms, performance
Examples of Block
BQR (EISPACK)
Notes
bug reports
Support for LAPACK
cache
Performance of LAPACK, Data Movement
CAPSS
Preface to the
CBDSQR
Singular Value Decomposition, Singular Value Decomposition, Eigenvalue Problems, Further Details: Error
CGBBRD
Singular Value Decomposition
CGBCON
Linear Equations
CGBEQU
Linear Equations
CGBRFS
Linear Equations
CGBSVX
Further Details: How
CGBTRF
Linear Equations
CGBTRS
Linear Equations
CGEBAK
Balancing
CGEBAL
Balancing, Balancing, Balancing and Conditioning
CGEBRD
Singular Value Decomposition
CGECON
Linear Equations
CGEEQU
Linear Equations
CGEES
Nonsymmetric Eigenproblems (NEP), Poor Performance
CGEESX
Nonsymmetric Eigenproblems (NEP), How to Measure , Overview, Poor Performance
CGEEV
Nonsymmetric Eigenproblems (NEP), Poor Performance
CGEEVX
Nonsymmetric Eigenproblems (NEP), Error Bounds for , Overview, Poor Performance
CGEGS
Generalized Nonsymmetric Eigenproblems
CGEGV
Generalized Nonsymmetric Eigenproblems
CGEHRD
EigenvaluesEigenvectors and , Balancing, Generalized Nonsymmetric Eigenproblems
CGELQF
Factorization, Singular Value Decomposition
CGELS
Linear Least Squares , Error Bounds for , Further Details: Error
CGELSS
Linear Least Squares , Linear Least Squares , Error Bounds for , Further Details: Error , Installing ILAENV
CGELSX
Linear Least Squares , Linear Least Squares , Error Bounds for , Further Details: Error
CGEQLF
Other Factorizations
CGEQPF
Factorization with Column
CGEQRF
Factorization, Factorization with Column , Singular Value Decomposition
CGERFS
Linear Equations
CGERQF
Other Factorizations
CGESVD
Singular Value Decomposition , Singular Value Decomposition, Further Details: Error , Error Bounds for , Further Details: Error , Installing ILAENV
CGESVX
Further Details: How
CGETRF
Linear Equations
CGETRI
Linear Equations
CGETRS
Linear Equations
CGGBAK
Generalized Nonsymmetric Eigenproblems, Generalized Nonsymmetric Eigenproblems
CGGBAL
Generalized Nonsymmetric Eigenproblems, Generalized Nonsymmetric Eigenproblems
CGGGLM
Generalized Linear Least
CGGHRD
Generalized Nonsymmetric Eigenproblems
CGGQRF
Generalized Factorization
CGGRQF
Generalized factorization
CGGSVD
Generalized Singular Value , Error Bounds for
CGGSVP
Generalized (or Quotient)
CGTCON
Linear Equations
CGTRFS
Linear Equations
CGTTRF
Linear Equations
CGTTRS
Linear Equations
CHBEV
Error Bounds for
CHBEVD
Error Bounds for
CHBEVX
Error Bounds for
CHBGST
Generalized Symmetric Definite
CHBGV
Error Bounds for
CHBTRD
Symmetric Eigenproblems, Symmetric Eigenproblems
CHECON
Linear Equations
CHEEV
Error Bounds for
CHEEVD
Error Bounds for
CHEEVX
Error Bounds for
CHEGV
Standard Error Analysis, Error Bounds for , Further Details: Error
CHERFS
Linear Equations
CHETRD
Symmetric Eigenproblems
CHETRF
Linear Equations
CHETRI
Linear Equations
CHETRS
Linear Equations
CHGEQZ
Generalized Nonsymmetric Eigenproblems
Cholesky factorization!blocked form
Block Algorithms and
Cholesky factorization!split
Generalized Symmetric Definite
chordal distance
Further Details: Error
CHPCON
Linear Equations
CHPEV
Error Bounds for
CHPEVD
Error Bounds for
CHPEVX
Error Bounds for
CHPGV
Error Bounds for
CHPRFS
Linear Equations
CHPTRD
Symmetric Eigenproblems
CHPTRF
Linear Equations
CHPTRI
Linear Equations
CHPTRS
Linear Equations
CHSEIN
EigenvaluesEigenvectors and
CHSEQR
EigenvaluesEigenvectors and , Balancing, Installing ILAENV, Installing ILAENV, Poor Performance
cluster!eigenvalues
Further Details: Error
cluster!eigenvalues!error bound
Overview
cluster!singular values
Further Details: Error
complete orthogonal factorization
Complete Orthogonal Factorization
computational routines
Levels of Routines, Computational Routines
Computational Routines, index of: see Appendix A
Notes
COMQR (EISPACK)
Eigenvalue Problems
condensed form!reduction to
Eigenvalue Problems
condition number
Invariant Subspaces and , Invariant Subspaces and , How to Measure , Standard Error Analysis, Standard Error Analysis, Error Bounds for , Error Bounds for , Further Details: Error , Further Details: Error , Error Bounds for , Error Bounds for , Error Bounds for , Overview, Overview, Balancing and Conditioning, Balancing and Conditioning, Balancing and Conditioning, Error Bounds for , Error Bounds for , Further Details: Error , Error Bounds for
condition number!estimate
Standard Error Analysis, Further Details: Error , Computing and
Cosine-Sine decomposition
Generalized Singular Value
CPBCON
Linear Equations
CPBEQU
Linear Equations
CPBRFS
Linear Equations
CPBSTF
Generalized Symmetric Definite
CPBTRF
Linear Equations
CPBTRS
Linear Equations
CPOCON
Linear Equations
CPOEQU
Linear Equations
CPORFS
Linear Equations
CPOTRF
Linear Equations
CPOTRI
Linear Equations
CPOTRS
Linear Equations
CPPCON
Linear Equations
CPPEQU
Linear Equations
CPPRFS
Linear Equations
CPPTRF
Linear Equations
CPPTRI
Linear Equations
CPPTRS
Linear Equations
CPTCON
Linear Equations, Further Details: Error
CPTEQR
Symmetric Eigenproblems, Further Details: Error
CPTRFS
Linear Equations
CPTTRF
Linear Equations
CPTTRS
Linear Equations
Crawford's algorithm
Generalized Symmetric Definite
crossover point
Installing ILAENV
CSPCON
Linear Equations
CSPRFS
Linear Equations
CSPTRF
Linear Equations
CSPTRI
Linear Equations
CSPTRS
Linear Equations
CSTEDC
Symmetric Eigenproblems, Eigenvalue Problems
CSTEIN
Symmetric Eigenproblems, Symmetric Eigenproblems
CSTEQR
Symmetric Eigenproblems, Symmetric Eigenproblems, Eigenvalue Problems
CSYCON
Linear Equations
CSYRFS
Linear Equations
CSYTRF
Linear Equations
CSYTRI
Linear Equations
CSYTRS
Linear Equations
CTBCON
Linear Equations
CTBRFS
Linear Equations
CTBTRS
Linear Equations
CTGEVC
Generalized Nonsymmetric Eigenproblems
CTGSJA
Generalized (or Quotient) , Further Details: Error
CTPCON
Linear Equations
CTPRFS
Linear Equations
CTPTRI
Linear Equations
CTPTRS
Linear Equations
CTRCON
Linear Equations, Further Details: Error
CTREVC
EigenvaluesEigenvectors and
CTREXC
Invariant Subspaces and , Computing and
CTRRFS
Linear Equations
CTRSEN
Invariant Subspaces and , Overview
CTRSNA
Invariant Subspaces and , Overview
CTRSYL
Invariant Subspaces and , Computing and
CTRTRI
Linear Equations
CTRTRS
Linear Equations, Factorization, Factorization
CTZRQF
Complete Orthogonal Factorization
CUNGBR
Singular Value Decomposition
CUNGHR
EigenvaluesEigenvectors and
CUNGLQ
Factorization
CUNGQR
Factorization, Factorization with Column
CUNMBR
Singular Value Decomposition
CUNMHR
EigenvaluesEigenvectors and
CUNMLQ
Factorization
CUNMQR
Factorization, Factorization, Factorization, Factorization with Column , Generalized Factorization, Generalized factorization
CUNMRQ
Generalized Factorization, Generalized factorization
CUNMTR
Symmetric Eigenproblems, Symmetric Eigenproblems
CUPGTR
Symmetric Eigenproblems
Cuppen's divide and conquer algorithm
Symmetric Eigenproblems
cycle time
Performance of LAPACK
data movement
Data Movement
DBDSQR
Singular Value Decomposition, Singular Value Decomposition, Eigenvalue Problems, Further Details: Error
DDISNA
Further Details: Error , Further Details: Error
deflating subspaces
Generalized Nonsymmetric Eigenproblems , Generalized Nonsymmetric Eigenproblems
deflating subspaces!error bound
Error Bounds for
DGBBRD
Singular Value Decomposition
DGBCON
Linear Equations
DGBEQU
Linear Equations
DGBRFS
Linear Equations
DGBSVX
Further Details: How
DGBTRF
Linear Equations
DGBTRS
Linear Equations
DGEBAK
Balancing
DGEBAL
Balancing, Balancing, Balancing and Conditioning
DGEBRD
Singular Value Decomposition
DGECON
Linear Equations
DGEEQU
Linear Equations
DGEES
Nonsymmetric Eigenproblems (NEP), Poor Performance
DGEESX
Nonsymmetric Eigenproblems (NEP), How to Measure , Overview, Poor Performance
DGEEV
Nonsymmetric Eigenproblems (NEP), Poor Performance
DGEEVX
Nonsymmetric Eigenproblems (NEP), Error Bounds for , Overview, Poor Performance
DGEGS
Generalized Nonsymmetric Eigenproblems
DGEGV
Generalized Nonsymmetric Eigenproblems
DGEHRD
EigenvaluesEigenvectors and , Balancing, Generalized Nonsymmetric Eigenproblems
DGELQF
Factorization, Singular Value Decomposition
DGELS
Linear Least Squares , Error Bounds for , Further Details: Error
DGELSS
Linear Least Squares , Linear Least Squares , Error Bounds for , Further Details: Error , Installing ILAENV
DGELSX
Linear Least Squares , Linear Least Squares , Error Bounds for , Further Details: Error
DGEQLF
Other Factorizations
DGEQPF
Factorization with Column
DGEQRF
Factorization, Factorization with Column , Singular Value Decomposition, Factorization
DGERFS
Linear Equations
DGERQF
Other Factorizations
DGESVD
Singular Value Decomposition , Singular Value Decomposition, Further Details: Error , Error Bounds for , Further Details: Error , Installing ILAENV
DGESVX
Further Details: How
DGETRF
Linear Equations, Factorizations for Solving
DGETRI
Linear Equations
DGETRS
Linear Equations
DGGBAK
Generalized Nonsymmetric Eigenproblems, Generalized Nonsymmetric Eigenproblems
DGGBAL
Generalized Nonsymmetric Eigenproblems, Generalized Nonsymmetric Eigenproblems
DGGGLM
Generalized Linear Least
DGGHRD
Generalized Nonsymmetric Eigenproblems
DGGQRF
Generalized Factorization
DGGRQF
Generalized factorization
DGGSVD
Generalized Singular Value , Error Bounds for
DGGSVP
Generalized (or Quotient)
DGTCON
Linear Equations
DGTRFS
Linear Equations
DGTTRF
Linear Equations
DGTTRS
Linear Equations
DHGEQZ
Generalized Nonsymmetric Eigenproblems
DHSEIN
EigenvaluesEigenvectors and
DHSEQR
EigenvaluesEigenvectors and , Balancing, Installing ILAENV, Installing ILAENV, Poor Performance
distributed memory
Preface to the
divide and conquer
Symmetric Eigenproblems (SEP)
DLAMCH
Sources of Error , Further Details: Floating , Points to Note
documentation, structure
Structure of the
DOPGTR
Symmetric Eigenproblems
DOPMTR
Symmetric Eigenproblems
DORGBR
Singular Value Decomposition
DORGHR
EigenvaluesEigenvectors and
DORGLQ
Factorization
DORGQR
Factorization, Factorization with Column
DORGTR
Symmetric Eigenproblems
DORMBR
Singular Value Decomposition, Singular Value Decomposition
DORMHR
EigenvaluesEigenvectors and , EigenvaluesEigenvectors and
DORMLQ
Factorization, Factorization
DORMQR
Factorization, Factorization, Factorization, Factorization with Column , Generalized Factorization, Generalized factorization
DORMRQ
Generalized Factorization, Generalized factorization
DORMTR
Symmetric Eigenproblems
DPBCON
Linear Equations
DPBEQU
Linear Equations
DPBRFS
Linear Equations
DPBSTF
Generalized Symmetric Definite
DPBTRF
Linear Equations
DPBTRS
Linear Equations
DPOCON
Linear Equations
DPOEQU
Linear Equations
DPORFS
Linear Equations
DPOTRF
Linear Equations, Factorizations for Solving
DPOTRI
Linear Equations
DPOTRS
Linear Equations
DPPCON
Linear Equations
DPPEQU
Linear Equations
DPPRFS
Linear Equations
DPPTRF
Linear Equations
DPPTRI
Linear Equations
DPPTRS
Linear Equations
DPTCON
Linear Equations, Further Details: Error
DPTEQR
Symmetric Eigenproblems, Further Details: Error
DPTRFS
Linear Equations
DPTTRF
Linear Equations
DPTTRS
Linear Equations
driver routine!generalized least squares
Generalized Linear Least
driver routine!generalized nonsymmetric eigenvalue problem
Generalized Nonsymmetric Eigenproblems , Generalized Nonsymmetric Eigenproblems
driver routine!generalized SVD
Generalized Singular Value
driver routine!generalized symmetric definite eigenvalue problem
Generalized Symmetric Definite
driver routine!linear equations
Linear Equations
driver routine!linear least squares
Linear Least Squares
driver routine!nonsymmetric eigenvalue problem
Nonsymmetric Eigenproblems (NEP)
driver routine!SVD
Singular Value Decomposition
driver routine!symmetric eigenvalue problem
Symmetric Eigenproblems (SEP)
driver routine!symmetric tridiagonal eigenvalue problem
Data Types and , Singular Value Decomposition
driver routines
Levels of Routines, Driver Routines
driver routines!divide and conquer
Symmetric Eigenproblems (SEP)
driver routines!expert
Linear Equations, Symmetric Eigenproblems (SEP)
driver routines!simple
Linear Equations, Symmetric Eigenproblems (SEP)
Driver Routines, index of: see Appendix A
Notes
DSBEV
Error Bounds for
DSBEVD
Error Bounds for
DSBEVX
Error Bounds for
DSBGST
Generalized Symmetric Definite
DSBGV
Error Bounds for
DSBTRD
Symmetric Eigenproblems, Symmetric Eigenproblems
DSPCON
Linear Equations
DSPEV
Error Bounds for
DSPEVD
Error Bounds for
DSPEVX
Error Bounds for
DSPGV
Error Bounds for
DSPRFS
Linear Equations
DSPTRD
Symmetric Eigenproblems
DSPTRF
Linear Equations
DSPTRI
Linear Equations
DSPTRS
Linear Equations
DSTEBZ
Symmetric Eigenproblems, Further Details: Error
DSTEDC
Symmetric Eigenproblems, Eigenvalue Problems
DSTEIN
Symmetric Eigenproblems, Symmetric Eigenproblems
DSTEQR
Symmetric Eigenproblems, Symmetric Eigenproblems, Eigenvalue Problems
DSTERF
Symmetric Eigenproblems, Eigenvalue Problems
DSTEV
Error Bounds for
DSTEVD
Error Bounds for
DSTEVX
Error Bounds for , Further Details: Error
DSYCON
Linear Equations
DSYEV
Error Bounds for
DSYEVD
Error Bounds for
DSYEVX
Error Bounds for
DSYGV
Standard Error Analysis, Error Bounds for , Further Details: Error
DSYRFS
Linear Equations
DSYTRD
Symmetric Eigenproblems, Eigenvalue Problems
DSYTRF
Linear Equations, Factorizations for Solving
DSYTRI
Linear Equations
DSYTRS
Linear Equations
DTBCON
Linear Equations
DTBRFS
Linear Equations
DTBTRS
Linear Equations
DTGEVC
Generalized Nonsymmetric Eigenproblems
DTGSJA
Generalized (or Quotient) , Further Details: Error
DTPCON
Linear Equations
DTPRFS
Linear Equations
DTPTRI
Linear Equations
DTPTRS
Linear Equations
DTRCON
Linear Equations, Further Details: Error
DTREVC
EigenvaluesEigenvectors and
DTREXC
Invariant Subspaces and , Computing and
DTRRFS
Linear Equations
DTRSEN
Invariant Subspaces and , Overview
DTRSNA
Invariant Subspaces and , Overview
DTRSYL
Invariant Subspaces and , Computing and
DTRTRI
Linear Equations
DTRTRS
Linear Equations, Factorization, Factorization
DTZRQF
Complete Orthogonal Factorization
effective rank
Factorization with Column
efficiency
The BLAS as
eigendecomposition!blocked form
Eigenvalue Problems
eigendecomposition!multishift QR iteration
Eigenvalue Problems
eigendecomposition!symmetric
Error Bounds for
eigenvalue
Symmetric Eigenproblems (SEP), Symmetric Eigenproblems (SEP), Symmetric Eigenproblems, EigenvaluesEigenvectors and , EigenvaluesEigenvectors and , Error Bounds for
eigenvalue problem!ill-conditioned
Generalized Nonsymmetric Eigenproblems
eigenvalue problem!singular
Generalized Nonsymmetric Eigenproblems
eigenvalue!error bound
Error Bounds for , Further Details: Error , Error Bounds for , Overview, Balancing and Conditioning, Error Bounds for , Error Bounds for , Further Details: Error , Further Details: Error , Error Bounds for
eigenvalue!generalized
Generalized Nonsymmetric Eigenproblems
eigenvalue!GNEP
Generalized Nonsymmetric Eigenproblems
eigenvalue!GSEP
Generalized Symmetric Definite
eigenvalue!infinite
Generalized Nonsymmetric Eigenproblems
eigenvalue!NEP
Nonsymmetric Eigenproblems (NEP)
eigenvalue!nontrivial
Generalized Singular Value
eigenvalue!ordering of
Nonsymmetric Eigenproblems (NEP), Invariant Subspaces and
eigenvalue!sensitivity of
Invariant Subspaces and , Invariant Subspaces and
eigenvalue!SEP
Symmetric Eigenproblems
eigenvalue!trivial
Generalized Singular Value
eigenvector
Symmetric Eigenproblems (SEP), Symmetric Eigenproblems, Error Bounds for
eigenvector!error bound
Error Bounds for , Further Details: Error , Error Bounds for , Overview, Balancing and Conditioning, Error Bounds for , Error Bounds for , Further Details: Error , Further Details: Error , Error Bounds for
eigenvector!GNEP
Generalized Nonsymmetric Eigenproblems
eigenvector!GNEP!left
Generalized Nonsymmetric Eigenproblems
eigenvector!GNEP!right
Generalized Nonsymmetric Eigenproblems
eigenvector!GSEP
Generalized Symmetric Definite
eigenvector!left
Nonsymmetric Eigenproblems (NEP), EigenvaluesEigenvectors and , Generalized Nonsymmetric Eigenproblems
eigenvector!left!generalized
Generalized Nonsymmetric Eigenproblems
eigenvector!NEP
Nonsymmetric Eigenproblems (NEP)
eigenvector!right
Nonsymmetric Eigenproblems (NEP), EigenvaluesEigenvectors and , Generalized Nonsymmetric Eigenproblems
eigenvector!right!generalized
Generalized Nonsymmetric Eigenproblems
eigenvector!SEP
Symmetric Eigenproblems
EISPACK
LAPACK Compared with , Matrix Storage Schemes, Band Storage, Installing ILAENV
EISPACK!converting from: see Appendix D
Converting from LINPACK
elementary Householder matrix, see Householder matrix
Factorization, Factorization, Singular Value Decomposition, Representation of Orthogonal , Representation of Orthogonal
elementary reflector, see Householder matrix
Factorization, Singular Value Decomposition, Representation of Orthogonal , Representation of Orthogonal
equality-constrained least squares
Generalized Linear Least
equilibration
Linear Equations, Linear Equations
errata
Known Problems in
error bounds
Accuracy and Stability
error bounds!clustered eigenvalues
Overview
error bounds!generalized least squares
Error Bounds for
error bounds!generalized nonsymmetric eigenproblem
Error Bounds for
error bounds!generalized singular value decomposition
Error Bounds for , Error Bounds for , Further Details: Error
error bounds!generalized symmetric definite eigenproblem
Error Bounds for , Further Details: Error
error bounds!linear equations
Error Bounds for , Further Details: Error
error bounds!linear least squares
Error Bounds for , Further Details: Error
error bounds!nonsymmetric eigenproblem
Error Bounds for , Overview
error bounds!required for fast Level 3 BLAS
Error Bounds for
error bounds!singular value decomposition
Error Bounds for , Further Details: Error
error bounds!symmetric eigenproblem
Error Bounds for , Further Details: Error
error handler, XERBLA
Error Handling and , Error Handling and , Invalid Arguments and
error!absolute
How to Measure , How to Measure , How to Measure
error!analysis
Standard Error Analysis
error!backward
Standard Error Analysis, Standard Error Analysis, Further Details: Error , Further Details: Error , Further Details: Error , Further Details: Error , Further Details: Error
error!measurement of
How to Measure
error!measurement of!matrix
How to Measure , How to Measure
error!measurement of!scalar
How to Measure , How to Measure
error!measurement of!subspace
How to Measure , How to Measure
error!measurement of!vector
How to Measure , How to Measure
error!relative
Sources of Error , Further Details: Floating , How to Measure , How to Measure , How to Measure , Further Details: How , Standard Error Analysis, Further Details: Error
failures
Failures Detected by
failures!common causes
Common Errors in
failures!error handling
Error Handling and
failures!INFO
Error Handling and
floating-point arithmetic
Sources of Error
floating-point arithmetic!guard digit
Further Details: Floating
floating-point arithmetic!IEEE standard
Further Details: Floating
floating-point arithmetic!infinity
Further Details: Floating
floating-point arithmetic!machine precision
Sources of Error , Further Details: Floating
floating-point arithmetic!NaN
Further Details: Floating
floating-point arithmetic!Not-a-Number
Further Details: Floating
floating-point arithmetic!overflow
Sources of Error , Further Details: Floating , Further Details: Floating , Further Details: Floating , How to Measure , Further Details: Error , Further Details: Error , Further Details: Error , Further Details: Error
floating-point arithmetic!roundoff error
Further Details: Floating
floating-point arithmetic!underflow
Sources of Error , Further Details: Floating , Further Details: Floating , Further Details: Floating
forward error
Linear Equations
forward stability
Improved Error Bounds
forward stability!componentwise relative
Improved Error Bounds
gap
Further Details: Error , Further Details: Error , Further Details: Error , Further Details: Error , Further Details: Error , Further Details: Error
general linear model problem
Generalized Factorization
generalized eigenproblem!nonsymmetric
Generalized Nonsymmetric Eigenproblems
generalized eigenproblem!symmetric definite
Generalized Symmetric Definite
generalized eigenproblem!symmetric definite banded
Generalized Symmetric Definite
generalized Hessenberg form!reduction to
Generalized Nonsymmetric Eigenproblems
generalized least squares
Generalized Linear Least
generalized orthogonal factorization
Generalized Orthogonal Factorizations
generalized Schur vectors
Generalized Nonsymmetric Eigenproblems
generalized singular value
Generalized Singular Value
generalized singular value decomposition
Generalized Singular Value , Generalized (or Quotient)
generalized singular value decomposition!special cases
Generalized Singular Value
Givens rotation
Symmetric Eigenproblems, Singular Value Decomposition, Generalized Symmetric Definite
GLM
Generalized Linear Least , Generalized Factorization
GNEP
Generalized Nonsymmetric Eigenproblems
GQR
Generalized Linear Least , Other Factorizations, Generalized Factorization, Generalized Factorization, Generalized Factorization
GRQ
Generalized Linear Least , Generalized factorization, Generalized factorization
GSEP
Generalized Symmetric Definite
GSVD
Generalized Singular Value , Generalized Singular Value , Generalized (or Quotient)
guard digit
Further Details: Floating
Hessenberg form
Eigenvalue Problems, Eigenvalue Problems
Hessenberg form
Balancing
Hessenberg form!reduction to
Eigenvalue Problems
Hessenberg form!upper
EigenvaluesEigenvectors and
Householder matrix
Factorization, Representation of Orthogonal
Householder matrix!complex
Representation of Orthogonal
Householder transformation - blocked form
Factorization
Householder vector
Representation of Orthogonal
HQR (EISPACK)
Eigenvalue Problems
HTRID3 (EISPACK)
Notes
HTRIDI (EISPACK)
Notes
ILAENV
Determining the Block , Determining the Block , Points to Note, Installing ILAENV, Installing ILAENV, Installing ILAENV, Poor Performance
ill-conditioned
Standard Error Analysis
ill-posed
Standard Error Analysis
IMTQL1 (EISPACK)
Notes
IMTQL2 (EISPACK)
Notes
infinity
Further Details: Floating
input error
Sources of Error
installation
Installation of LAPACK
installation guide
Points to Note
installation!ILAENV
Installing ILAENV
installation!LAPACK
Points to Note
installation!xLAMCH
Further Details: Floating , Points to Note
installation!xLAMCH!cost of
Poor Performance
invariant subspaces
Generalized Nonsymmetric Eigenproblems , Invariant Subspaces and , Overview
invariant subspaces!error bound
Further Details: Error , Overview
inverse iteration
EigenvaluesEigenvectors and
inverse iteration
Symmetric Eigenproblems
iterative refinement
Linear Equations, Error Bounds for
LAPACK++
Preface to the
LDL factorization
Linear Equations
linear equations
Linear Equations
linear least squares problem
Factorization with Column
linear least squares problem
Linear Least Squares , Orthogonal Factorizations and
linear least squares problem
Factorization, Factorization with Column
linear least squares problem!generalized
Generalized Linear Least
linear least squares problem!generalized!equality-constrained (LSE)
Generalized factorization
linear least squares problem!generalized!equality-constrained (LSE)
Generalized Linear Least
linear least squares problem!generalized!regression model (GLM)
Generalized Linear Least
linear least squares problem!overdetermined
Error Bounds for
linear least squares problem!overdetermined system
Further Details: Error
linear least squares problem!rank-deficient
Factorization with Column , Complete Orthogonal Factorization, Singular Value Decomposition
linear least squares problem!regularization
Further Details: Error
linear least squares problem!underdetermined
Further Details: Error
linear least squares problem!weighted
Generalized Linear Least
linear systems, solution of
Linear Equations, Linear Equations
LINPACK
LAPACK Compared with , Block Algorithms and , Matrix Storage Schemes
LINPACK!converting from: see Appendix D
Converting from LINPACK
LLS
Linear Least Squares , Linear Least Squares
local memory
Data Movement
LQ factorization
Factorization
LSE
Generalized Linear Least , Generalized Linear Least , Generalized factorization
LU factorization
Linear Equations
LU factorization!blocked form
Factorizations for Solving
LU factorization!matrix types
Linear Equations
machine parameters
Points to Note, Installing ILAENV
machine precision
Sources of Error , Further Details: Floating
matrix inversion
Linear Equations
minimum norm solution
Linear Least Squares
minimum norm least squares solution
Linear Least Squares
minimum norm solution
Singular Value Decomposition
minimum norm solution
Factorization, Complete Orthogonal Factorization
multishift QR algorithm, tuning
Installing ILAENV
naming scheme
Naming Scheme
naming scheme!auxiliary
Naming Scheme
naming scheme!driver and computational
Naming Scheme
NaN
Further Details: Floating
NEP
Nonsymmetric Eigenproblems (NEP)
netlib
Availability of LAPACK
nonsymmetric eigenproblem
EigenvaluesEigenvectors and
nonsymmetric eigenproblem!generalized
Generalized Nonsymmetric Eigenproblems , Generalized Nonsymmetric Eigenproblems
norm!Frobenius norm
Further Details: How
norm!matrix
How to Measure
norm!two norm
Further Details: How
norm!vector
How to Measure
normalization
Generalized Nonsymmetric Eigenproblems, Generalized Nonsymmetric Eigenproblems
Not-a-Number
Further Details: Floating
Numerical Algorithms Group
Availability of LAPACK
numerical error, sources of
Sources of Error
numerical error, sources of!input error
Sources of Error
numerical error, sources of!roundoff error
Sources of Error , Further Details: Floating
orthogonal (unitary) transformation
Complete Orthogonal Factorization
orthogonal (unitary) factorizations
Orthogonal Factorizations and
orthogonal (unitary) transformation
Generalized Nonsymmetric Eigenproblems, Eigenvalue Problems
orthogonal factorization!generalized
Generalized Orthogonal Factorizations
overdetermined system
Linear Least Squares , Linear Least Squares , Further Details: Error , Further Details: Error
overflow
Sources of Error , Further Details: Floating , Further Details: Floating , Further Details: Floating , How to Measure , Further Details: Error , Further Details: Error , Further Details: Error , Further Details: Error
parallelism!compiler directives
Parallelism
parallelism!loop-based
Parallelism
PBLAS
ScaLAPACK
pencils
Generalized Nonsymmetric Eigenproblems
performance
Computers for which , Performance of LAPACK
performance!block size
Installing ILAENV
performance!crossover point
Installing ILAENV
performance!LWORK
Poor Performance
performance!recommendations
Poor Performance
performance!sensitivity
Poor Performance
permutation
Generalized Nonsymmetric Eigenproblems
portability
Factors that Affect , The BLAS as , Further Details: Floating
QL factorization
Other Factorizations
QL factorization!implicit
Symmetric Eigenproblems
QR decomposition!with pivoting
Generalized (or Quotient)
QR factorization
Factorization
QR factorization!blocked form
Factorization
QR factorization!generalized (GQR)
Generalized Linear Least , Other Factorizations, Generalized Factorization
QR factorization!implicit
Symmetric Eigenproblems
QR factorization!with pivoting
Factorization with Column
quotient singular value decomposition
Generalized Singular Value , Generalized (or Quotient)
QZ method
Generalized Nonsymmetric Eigenproblems
rank!numerical determination of
Factorization with Column , Generalized (or Quotient) , Error Bounds for
RATQR (EISPACK)
Notes
reduction!bidiagonal
Singular Value Decomposition
reduction!tridiagonal
Symmetric Eigenproblems, Symmetric Eigenproblems
reduction!upper Hessenberg
EigenvaluesEigenvectors and
regression, generalized linear
Generalized Linear Least
regularization
Further Details: Error
relative error
Sources of Error , Further Details: Floating , How to Measure , How to Measure , How to Measure , Further Details: How , Standard Error Analysis, Further Details: Error
relative gap
Further Details: Error , Further Details: Error
roundoff error
Sources of Error , Further Details: Floating
RQ factorization
Other Factorizations
RQ factorization!generalized (GRQ)
Generalized Linear Least , Generalized factorization, Generalized factorization
RSB (EISPACK)
Notes
RST (EISPACK)
Notes
s and sep
Computing and
SBDSQR
Singular Value Decomposition, Singular Value Decomposition, Eigenvalue Problems, Further Details: Error
ScaLAPACK
ScaLAPACK
scaling
Linear Equations, Generalized Nonsymmetric Eigenproblems, Balancing and Conditioning, Balancing and Conditioning
Schur factorization!generalized
Generalized Nonsymmetric Eigenproblems
Schur decomposition!generalized
Generalized Nonsymmetric Eigenproblems
Schur factorization
Nonsymmetric Eigenproblems (NEP), EigenvaluesEigenvectors and
Schur factorization!generalized
Generalized Nonsymmetric Eigenproblems
Schur form
EigenvaluesEigenvectors and , Balancing, Invariant Subspaces and , Invariant Subspaces and
Schur form!generalized
Generalized Nonsymmetric Eigenproblems, Generalized Nonsymmetric Eigenproblems
Schur vectors
Nonsymmetric Eigenproblems (NEP), EigenvaluesEigenvectors and
Schur vectors!generalized
Generalized Nonsymmetric Eigenproblems , Generalized Nonsymmetric Eigenproblems
SDISNA
Further Details: Error , Further Details: Error
SEP
Symmetric Eigenproblems (SEP), Symmetric Eigenproblems
separation of matrices
Computing and
SGBBRD
Singular Value Decomposition
SGBCON
Linear Equations
SGBEQU
Linear Equations
SGBRFS
Linear Equations
SGBSVX
Further Details: How
SGBTRF
Linear Equations
SGBTRS
Linear Equations
SGEBAK
Balancing
SGEBAL
Balancing, Balancing, Balancing and Conditioning
SGEBRD
Singular Value Decomposition, Eigenvalue Problems, Installing ILAENV
SGECON
Linear Equations
SGEEQU
Linear Equations
SGEES
Nonsymmetric Eigenproblems (NEP), Poor Performance
SGEESX
Nonsymmetric Eigenproblems (NEP), How to Measure , Overview, Poor Performance
SGEEV
Nonsymmetric Eigenproblems (NEP), Poor Performance
SGEEVX
Nonsymmetric Eigenproblems (NEP), Error Bounds for , Overview, Poor Performance
SGEGS
Generalized Nonsymmetric Eigenproblems
SGEGV
Generalized Nonsymmetric Eigenproblems
SGEHRD
EigenvaluesEigenvectors and , Balancing, Generalized Nonsymmetric Eigenproblems, Eigenvalue Problems
SGELQF
Factorization, Singular Value Decomposition
SGELS
Linear Least Squares , Error Bounds for , Further Details: Error
SGELSS
Linear Least Squares , Linear Least Squares , Error Bounds for , Error Bounds for , Further Details: Error , Installing ILAENV
SGELSX
Linear Least Squares , Linear Least Squares , Error Bounds for , Error Bounds for , Further Details: Error
SGEQLF
Other Factorizations
SGEQPF
Factorization with Column
SGEQRF
Factorization, Factorization with Column , Singular Value Decomposition, Factorization, Installing ILAENV, Installing ILAENV
SGERFS
Linear Equations
SGERQF
Other Factorizations
SGESV
Error Bounds for , Invalid Arguments and
SGESVD
Singular Value Decomposition , Singular Value Decomposition, Further Details: Error , Error Bounds for , Further Details: Error , Installing ILAENV
SGESVX
Further Details: How , Error Bounds for , Computational Failures and , Computational Failures and
SGETRF
Linear Equations, Factorizations for Solving
SGETRI
Linear Equations
SGETRS
Linear Equations
SGGBAK
Generalized Nonsymmetric Eigenproblems, Generalized Nonsymmetric Eigenproblems
SGGBAL
Generalized Nonsymmetric Eigenproblems, Generalized Nonsymmetric Eigenproblems
SGGGLM
Generalized Linear Least
SGGHRD
Generalized Nonsymmetric Eigenproblems
SGGQRF
Generalized Factorization
SGGRQF
Generalized factorization
SGGSVD
Generalized Singular Value , Error Bounds for
SGGSVP
Generalized (or Quotient)
SGTCON
Linear Equations
SGTRFS
Linear Equations
SGTTRF
Linear Equations
SGTTRS
Linear Equations
shared memory
Factors that Affect
SHGEQZ
Generalized Nonsymmetric Eigenproblems
SHSEIN
EigenvaluesEigenvectors and
SHSEQR
EigenvaluesEigenvectors and , Balancing, Installing ILAENV, Installing ILAENV, Poor Performance
similarity transformation
Balancing
singular value
Singular Value Decomposition
singular value decomposition (SVD)
Singular Value Decomposition
singular value decomposition!generalized
Generalized Singular Value
singular value decomposition (SVD)
Singular Value Decomposition
singular value decomposition!generalized
Generalized Singular Value , Generalized (or Quotient)
singular value decomposition!generalized!special cases
Generalized Singular Value
singular value!error bound
Error Bounds for , Further Details: Error , Further Details: Error , Error Bounds for , Further Details: Error
singular value!generalized
Generalized Singular Value
singular vector!error bound
Error Bounds for , Further Details: Error , Further Details: Error
singular vectors!left
Singular Value Decomposition , Singular Value Decomposition
singular vectors!right
Singular Value Decomposition , Singular Value Decomposition
SLAMCH
Sources of Error , Further Details: Floating , Points to Note, Poor Performance
SOPGTR
Symmetric Eigenproblems
SOPMTR
Symmetric Eigenproblems
SORGBR
Singular Value Decomposition
SORGHR
EigenvaluesEigenvectors and
SORGLQ
Factorization
SORGQR
Factorization, Factorization with Column
SORGTR
Symmetric Eigenproblems
SORMBR
Singular Value Decomposition, Singular Value Decomposition
SORMHR
EigenvaluesEigenvectors and , EigenvaluesEigenvectors and
SORMLQ
Factorization, Factorization
SORMQR
Factorization, Factorization, Factorization, Factorization with Column , Generalized Factorization, Generalized factorization
SORMRQ
Generalized Factorization, Generalized factorization
SORMTR
Symmetric Eigenproblems
source code
Availability of LAPACK
SPBCON
Linear Equations
SPBEQU
Linear Equations
SPBRFS
Linear Equations
SPBSTF
Generalized Symmetric Definite
SPBTRF
Linear Equations
SPBTRS
Linear Equations
spectral factorization
Symmetric Eigenproblems (SEP)
spectral projector
Computing and
split Cholesky factorization
Generalized Symmetric Definite
SPOCON
Linear Equations
SPOEQU
Linear Equations
SPOFA (LINPACK)
Block Algorithms and , Block Algorithms and
SPORFS
Linear Equations
SPOTRF
Linear Equations, Block Algorithms and , Factorizations for Solving
SPOTRI
Linear Equations
SPOTRS
Linear Equations
SPPCON
Linear Equations
SPPEQU
Linear Equations
SPPRFS
Linear Equations
SPPTRF
Linear Equations
SPPTRI
Linear Equations
SPPTRS
Linear Equations
SPTCON
Linear Equations, Further Details: Error
SPTEQR
Symmetric Eigenproblems, Further Details: Error
SPTRFS
Linear Equations
SPTTRF
Linear Equations
SPTTRS
Linear Equations
SSBEV
Error Bounds for
SSBEVD
Error Bounds for
SSBEVX
Error Bounds for
SSBGST
Generalized Symmetric Definite
SSBGV
Error Bounds for
SSBTRD
Symmetric Eigenproblems, Symmetric Eigenproblems
SSPCON
Linear Equations
SSPEV
Error Bounds for
SSPEVD
Error Bounds for
SSPEVX
Error Bounds for
SSPGV
Error Bounds for
SSPRFS
Linear Equations
SSPTRD
Symmetric Eigenproblems
SSPTRF
Linear Equations
SSPTRI
Linear Equations
SSPTRS
Linear Equations
SSTEBZ
Symmetric Eigenproblems, Further Details: Error
SSTEDC
Symmetric Eigenproblems, Eigenvalue Problems
SSTEIN
Symmetric Eigenproblems, Symmetric Eigenproblems
SSTEQR
Symmetric Eigenproblems, Symmetric Eigenproblems, Eigenvalue Problems
SSTERF
Symmetric Eigenproblems, Eigenvalue Problems
SSTEV
Error Bounds for
SSTEVD
Error Bounds for
SSTEVX
Error Bounds for , Further Details: Error
SSYCON
Linear Equations
SSYEV
Error Bounds for
SSYEVD
Error Bounds for
SSYEVX
Error Bounds for
SSYGV
Standard Error Analysis, Error Bounds for , Further Details: Error
SSYRFS
Linear Equations
SSYTRD
Symmetric Eigenproblems, Eigenvalue Problems, Eigenvalue Problems
SSYTRF
Linear Equations, Factorizations for Solving , Factorizations for Solving
SSYTRI
Linear Equations
SSYTRS
Linear Equations
stability
Orthogonal Factorizations and , Accuracy and Stability
stability!backward
Standard Error Analysis, Standard Error Analysis, Improved Error Bounds, Overview, Further Details: Error , Further Details: Error , Further Details: Error , Further Details: Error
stability!forward
Improved Error Bounds
STBCON
Linear Equations
STBRFS
Linear Equations
STBTRS
Linear Equations
STGEVC
Generalized Nonsymmetric Eigenproblems
STGSJA
Generalized (or Quotient) , Further Details: Error
storage scheme
Matrix Storage Schemes
storage scheme!band
Band Storage
storage scheme!band LU
Band Storage
storage scheme!bidiagonal
Tridiagonal and Bidiagonal
storage scheme!conventional
Conventional Storage
storage scheme!diagonal of Hermitian matrix
Real Diagonal Elements
storage scheme!Hermitian
Conventional Storage
storage scheme!orthogonal or unitary matrices
Representation of Orthogonal
storage scheme!packed
Packed Storage
storage scheme!symmetric
Conventional Storage
storage scheme!symmetric tridiagonal
Tridiagonal and Bidiagonal
storage scheme!triangular
Conventional Storage
storage scheme!unsymmetric tridiagonal
Tridiagonal and Bidiagonal
STPCON
Linear Equations
STPRFS
Linear Equations
STPTRI
Linear Equations
STPTRS
Linear Equations
Strassen's method
Error Bounds for , Error Bounds for
STRCON
Linear Equations, Further Details: Error
STREVC
EigenvaluesEigenvectors and
STREXC
Invariant Subspaces and , Computing and
STRRFS
Linear Equations
STRSEN
Invariant Subspaces and , Overview
STRSNA
Invariant Subspaces and , Overview
STRSYL
Invariant Subspaces and , Computing and
STRTRI
Linear Equations
STRTRS
Linear Equations, Factorization, Factorization
STZRQF
Complete Orthogonal Factorization
subspaces
Further Details: How
subspaces!angle between
How to Measure , How to Measure , How to Measure , Further Details: How , Further Details: How , Further Details: Error , Error Bounds for , Error Bounds for , Error Bounds for , Error Bounds for , Further Details: Error , Error Bounds for
subspaces!deflating
Generalized Nonsymmetric Eigenproblems , Generalized Nonsymmetric Eigenproblems
subspaces!invariant
Generalized Nonsymmetric Eigenproblems , Invariant Subspaces and
support
Support for LAPACK
SVD
Singular Value Decomposition
Sylvester equation
Standard Error Analysis, Computing and , Computing and
Sylvester equation
Invariant Subspaces and
symmetric eigenproblem
Symmetric Eigenproblems
symmetric indefinite factorization
Linear Equations
symmetric indefinite factorization!blocked form
Factorizations for Solving
TQL1 (EISPACK)
Notes
TQL2 (EISPACK)
Notes
TQLRAT (EISPACK)
Notes
TRED1 (EISPACK)
Notes
TRED2 (EISPACK)
Notes
TRED3 (EISPACK)
Notes
tridiagonal form
Eigenvalue Problems
tridiagonal form
Symmetric Eigenproblems, Symmetric Eigenproblems, Symmetric Eigenproblems, Further Details: Error , Further Details: Error , Representation of Orthogonal
troubleshooting
Troubleshooting
tuning!block multishift QR: NS, MAXB
Installing ILAENV
tuning!block size: NB, NBMIN, and NX
Installing ILAENV
tuning!SVD: NXSVD
Installing ILAENV
underdetermined system
Linear Least Squares , Linear Least Squares , Factorization, Further Details: Error
underflow
Sources of Error , Further Details: Floating , Further Details: Floating , Further Details: Floating
upper Hessenberg form
EigenvaluesEigenvectors and
vector registers
Data Movement
vectorization
Vectorization
workstation, super-scalar
Factors that Affect
wrong results
Wrong Results
XERBLA
Error Handling and , Invalid Arguments and , Invalid Arguments and
xnetlib
Availability of LAPACK
ZBDSQR
Singular Value Decomposition, Singular Value Decomposition, Eigenvalue Problems, Further Details: Error
ZGBBRD
Singular Value Decomposition
ZGBCON
Linear Equations
ZGBEQU
Linear Equations
ZGBRFS
Linear Equations
ZGBSVX
Further Details: How
ZGBTRF
Linear Equations
ZGBTRS
Linear Equations
ZGEBAK
Balancing
ZGEBAL
Balancing, Balancing, Balancing and Conditioning
ZGEBRD
Singular Value Decomposition
ZGECON
Linear Equations
ZGEEQU
Linear Equations
ZGEES
Nonsymmetric Eigenproblems (NEP), Poor Performance
ZGEESX
Nonsymmetric Eigenproblems (NEP), How to Measure , Overview, Poor Performance
ZGEEV
Nonsymmetric Eigenproblems (NEP), Poor Performance
ZGEEVX
Nonsymmetric Eigenproblems (NEP), Error Bounds for , Overview, Poor Performance
ZGEGS
Generalized Nonsymmetric Eigenproblems
ZGEGV
Generalized Nonsymmetric Eigenproblems
ZGEHRD
EigenvaluesEigenvectors and , Balancing, Generalized Nonsymmetric Eigenproblems
ZGELQF
Factorization, Singular Value Decomposition
ZGELS
Linear Least Squares , Error Bounds for , Further Details: Error
ZGELSS
Linear Least Squares , Linear Least Squares , Error Bounds for , Further Details: Error , Installing ILAENV
ZGELSX
Linear Least Squares , Linear Least Squares , Error Bounds for , Further Details: Error
ZGEQLF
Other Factorizations
ZGEQPF
Factorization with Column
ZGEQRF
Factorization, Factorization with Column , Singular Value Decomposition
ZGERFS
Linear Equations
ZGERQF
Other Factorizations
ZGESVD
Singular Value Decomposition , Singular Value Decomposition, Further Details: Error , Error Bounds for , Further Details: Error , Installing ILAENV
ZGESVX
Further Details: How
ZGETRF
Linear Equations
ZGETRI
Linear Equations
ZGETRS
Linear Equations
ZGGBAK
Generalized Nonsymmetric Eigenproblems, Generalized Nonsymmetric Eigenproblems
ZGGBAL
Generalized Nonsymmetric Eigenproblems, Generalized Nonsymmetric Eigenproblems
ZGGGLM
Generalized Linear Least
ZGGHRD
Generalized Nonsymmetric Eigenproblems
ZGGQRF
Generalized Factorization
ZGGRQF
Generalized factorization
ZGGSVD
Generalized Singular Value , Error Bounds for
ZGGSVP
Generalized (or Quotient)
ZGTCON
Linear Equations
ZGTRFS
Linear Equations
ZGTTRF
Linear Equations
ZGTTRS
Linear Equations
ZHBEV
Error Bounds for
ZHBEVD
Error Bounds for
ZHBEVX
Error Bounds for
ZHBGST
Generalized Symmetric Definite
ZHBGV
Error Bounds for
ZHBTRD
Symmetric Eigenproblems, Symmetric Eigenproblems
ZHECON
Linear Equations
ZHEEV
Error Bounds for
ZHEEVD
Error Bounds for
ZHEEVX
Error Bounds for
ZHEGV
Standard Error Analysis, Error Bounds for , Further Details: Error
ZHERFS
Linear Equations
ZHETRD
Symmetric Eigenproblems
ZHETRF
Linear Equations
ZHETRI
Linear Equations
ZHETRS
Linear Equations
ZHGEQZ
Generalized Nonsymmetric Eigenproblems
ZHPCON
Linear Equations
ZHPEV
Error Bounds for
ZHPEVD
Error Bounds for
ZHPEVX
Error Bounds for
ZHPGV
Error Bounds for
ZHPRFS
Linear Equations
ZHPTRD
Symmetric Eigenproblems
ZHPTRF
Linear Equations
ZHPTRI
Linear Equations
ZHPTRS
Linear Equations
ZHSEIN
EigenvaluesEigenvectors and
ZHSEQR
EigenvaluesEigenvectors and , Balancing, Installing ILAENV, Installing ILAENV, Poor Performance
ZPBCON
Linear Equations
ZPBEQU
Linear Equations
ZPBRFS
Linear Equations
ZPBSTF
Generalized Symmetric Definite
ZPBTRF
Linear Equations
ZPBTRS
Linear Equations
ZPOCON
Linear Equations
ZPOEQU
Linear Equations
ZPORFS
Linear Equations
ZPOTRF
Linear Equations
ZPOTRI
Linear Equations
ZPOTRS
Linear Equations
ZPPCON
Linear Equations
ZPPEQU
Linear Equations
ZPPRFS
Linear Equations
ZPPTRF
Linear Equations
ZPPTRI
Linear Equations
ZPPTRS
Linear Equations
ZPTCON
Linear Equations, Further Details: Error
ZPTEQR
Symmetric Eigenproblems, Further Details: Error
ZPTRFS
Linear Equations
ZPTTRF
Linear Equations
ZPTTRS
Linear Equations
ZSPCON
Linear Equations
ZSPRFS
Linear Equations
ZSPTRF
Linear Equations
ZSPTRI
Linear Equations
ZSPTRS
Linear Equations
ZSTEDC
Symmetric Eigenproblems, Eigenvalue Problems
ZSTEIN
Symmetric Eigenproblems, Symmetric Eigenproblems
ZSTEQR
Symmetric Eigenproblems, Symmetric Eigenproblems, Eigenvalue Problems
ZSYCON
Linear Equations
ZSYRFS
Linear Equations
ZSYTRF
Linear Equations
ZSYTRI
Linear Equations
ZSYTRS
Linear Equations
ZTBCON
Linear Equations
ZTBRFS
Linear Equations
ZTBTRS
Linear Equations
ZTGEVC
Generalized Nonsymmetric Eigenproblems
ZTGSJA
Generalized (or Quotient) , Further Details: Error
ZTPCON
Linear Equations
ZTPRFS
Linear Equations
ZTPTRI
Linear Equations
ZTPTRS
Linear Equations
ZTRCON
Linear Equations, Further Details: Error
ZTREVC
EigenvaluesEigenvectors and
ZTREXC
Invariant Subspaces and , Computing and
ZTRRFS
Linear Equations
ZTRSEN
Invariant Subspaces and , Overview
ZTRSNA
Invariant Subspaces and , Overview
ZTRSYL
Invariant Subspaces and , Computing and
ZTRTRI
Linear Equations
ZTRTRS
Linear Equations, Factorization, Factorization
ZTZRQF
Complete Orthogonal Factorization
ZUNGBR
Singular Value Decomposition
ZUNGHR
EigenvaluesEigenvectors and
ZUNGLQ
Factorization
ZUNGQR
Factorization, Factorization with Column
ZUNMBR
Singular Value Decomposition
ZUNMHR
EigenvaluesEigenvectors and
ZUNMLQ
Factorization
ZUNMQR
Factorization, Factorization, Factorization, Factorization with Column , Generalized Factorization, Generalized factorization
ZUNMRQ
Generalized Factorization, Generalized factorization
ZUNMTR
Symmetric Eigenproblems, Symmetric Eigenproblems
ZUPGTR
Symmetric Eigenproblems



Tue Nov 29 14:03:33 EST 1994