Index



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Index

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