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