Keyword : Factorization

F01BRF	$L U$ factorization of real sparse matrix
F01BSF	$L U$ factorization of real sparse matrix with known sparsity pattern
F01LEF	$L U$ factorization of real tridiagonal matrix
F01LHF	$L U$ factorization of real almost block diagonal matrix
F01MCF	$L D L^{T}$ factorization of real symmetric positive definite variable-bandwidth matrix
F01QGF	$R Q$ factorization of real $m$ by $n$ upper trapezoidal matrix $(m \leq n)$
F01QJF	$R Q$ factorization of real $m$ by $n$ matrix $(m \leq n)$
F01QKF	Operations with orthogonal matrices, form rows of $Q$ , after $R Q$ factorization by F01QJF
F01RGF	$R Q$ factorization of complex $m$ by $n$ upper trapezoidal matrix $(m \leq n)$
F01RJF	$R Q$ factorization of complex $m$ by $n$ matrix $(m \leq n)$
F01RKF	Operations with unitary matrices, form rows of $Q$ , after $R Q$ factorization by F01RJF
F02WDF	$Q R$ factorization, possibly followed by SVD
F03BAF	Determinant of real matrix, matrix already factorized by F07ADF
F03BFF	Determinant of real symmetric positive definite matrix
F03BHF	Determinant of real symmetric positive definite banded matrix
F03BNF	Determinant of complex matrix
F06QPF	$Q R$ factorization by sequence of plane rotations, rank-1 update of real upper triangular matrix
F06QQF	$Q R$ factorization by sequence of plane rotations, real upper triangular matrix augmented by a full row
F06QRF	$Q R$ or $R Q$ factorization by sequence of plane rotations, real upper Hessenberg matrix
F06QSF	$Q R$ or $R Q$ factorization by sequence of plane rotations, real upper spiked matrix
F06QTF	$Q R$ factorization of $U P$ or $R Q$ factorization of $P U$ , $U$ real upper triangular, $P$ a sequence of plane rotations
F06TPF	$Q R$ factorization by sequence of plane rotations, rank-1 update of complex upper triangular matrix
F06TQF	$Q R$ factorization by sequence of plane rotations, complex upper triangular matrix augmented by a full row
F06TRF	$Q R$ or $R Q$ factorization by sequence of plane rotations, complex upper Hessenberg matrix
F06TSF	$Q R$ or $R Q$ factorization by sequence of plane rotations, complex upper spiked matrix
F06TTF	$Q R$ factorization of $U P$ or $R Q$ factorization of $P U$ , $U$ complex upper triangular, $P$ a sequence of plane rotations
F07ADF	$L U$ factorization of real $m$ by $n$ matrix
F07ARF	$L U$ factorization of complex $m$ by $n$ matrix
F07BDF	$L U$ factorization of real $m$ by $n$ band matrix
F07BRF	$L U$ factorization of complex $m$ by $n$ band matrix
F07CDF	$L U$ factorization of real tridiagonal matrix
F07CRF	$L U$ factorization of complex tridiagonal matrix
F07FDF	Cholesky factorization of real symmetric positive definite matrix
F07FRF	Cholesky factorization of complex Hermitian positive definite matrix
F07GDF	Cholesky factorization of real symmetric positive definite matrix, packed storage
F07GRF	Cholesky factorization of complex Hermitian positive definite matrix, packed storage
F07HDF	Cholesky factorization of real symmetric positive definite band matrix
F07HRF	Cholesky factorization of complex Hermitian positive definite band matrix
F07JDF	Computes the modified Cholesky factorization of a real symmetric positive definite tridiagonal matrix
F07JRF	Computes the modified Cholesky factorization of a complex Hermitian positive definite tridiagonal matrix
F07KDF	Cholesky factorization of real symmetric positive semidefinite matrix
F07KRF	Cholesky factorization of complex Hermitian positive semidefinite matrix
F07MDF	Bunch–Kaufman factorization of real symmetric indefinite matrix
F07MRF	Bunch–Kaufman factorization of complex Hermitian indefinite matrix
F07NRF	Bunch–Kaufman factorization of complex symmetric matrix
F07PDF	Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage
F07PRF	Bunch–Kaufman factorization of complex Hermitian indefinite matrix, packed storage
F07QRF	Bunch–Kaufman factorization of complex symmetric matrix, packed storage
F07WDF	Cholesky factorization of real symmetric positive definite matrix, Rectangular Full Packed format
F07WRF	Cholesky factorization of complex Hermitian positive definite matrix, Rectangular Full Packed format
F08AEF	$Q R$ factorization of real general rectangular matrix
F08AFF	Form all or part of orthogonal $Q$ from $Q R$ factorization determined by F08AEF, F08BEF or F08BFF
F08AHF	$L Q$ factorization of real general rectangular matrix
F08AJF	Form all or part of orthogonal $Q$ from $L Q$ factorization determined by F08AHF
F08ASF	$Q R$ factorization of complex general rectangular matrix
F08ATF	Form all or part of unitary $Q$ from $Q R$ factorization determined by F08ASF, F08BSF or F08BTF
F08AVF	$L Q$ factorization of complex general rectangular matrix
F08AWF	Form all or part of unitary $Q$ from $L Q$ factorization determined by F08AVF
F08BEF	$Q R$ factorization of real general rectangular matrix with column pivoting
F08BFF	$Q R$ factorization of real general rectangular matrix with column pivoting, using BLAS-3
F08BSF	$Q R$ factorization of complex general rectangular matrix with column pivoting
F08BTF	$Q R$ factorization of complex general rectangular matrix with column pivoting, using BLAS-3
F08CEF	$Q L$ factorization of real general rectangular matrix
F08CFF	Form all or part of orthogonal $Q$ from $Q L$ factorization determined by F08CEF
F08CHF	$R Q$ factorization of real general rectangular matrix
F08CJF	Form all or part of orthogonal $Q$ from $R Q$ factorization determined by F08CHF
F08CSF	$Q L$ factorization of complex general rectangular matrix
F08CTF	Form all or part of orthogonal $Q$ from $Q L$ factorization determined by F08CSF
F08CVF	$R Q$ factorization of complex general rectangular matrix
F08CWF	Form all or part of orthogonal $Q$ from $R Q$ factorization determined by F08CVF
F08PEF	Computes the eigenvalues and Schur factorization of real upper Hessenberg matrix reduced from real general matrix
F08PSF	Computes the eigenvalues and Schur factorization of complex upper Hessenberg matrix reduced from complex general matrix
F08QFF	Reorder Schur factorization of real matrix using orthogonal similarity transformation
F08QGF	Reorder Schur factorization of real matrix, form orthonormal basis of right invariant subspace for selected eigenvalues, with estimates of sensitivities
F08QTF	Reorder Schur factorization of complex matrix using unitary similarity transformation
F08QUF	Reorder Schur factorization of complex matrix, form orthonormal basis of right invariant subspace for selected eigenvalues, with estimates of sensitivities
F08UFF	Computes a split Cholesky factorization of real symmetric positive definite band matrix $A$
F08UTF	Computes a split Cholesky factorization of complex Hermitian positive definite band matrix $A$
F08XEF	Eigenvalues and generalized Schur factorization of real generalized upper Hessenberg form reduced from a pair of real general matrices
F08XSF	Eigenvalues and generalized Schur factorization of complex generalized upper Hessenberg form reduced from a pair of complex general matrices
F08ZEF	Computes a generalized $Q R$ factorization of a real matrix pair
F08ZFF	Computes a generalized $R Q$ factorization of a real matrix pair
F08ZSF	Computes a generalized $Q R$ factorization of a complex matrix pair
F08ZTF	Computes a generalized $R Q$ factorization of a complex matrix pair
F11DAF	Real sparse nonsymmetric linear systems, incomplete $L U$ factorization
F11DFF	Real sparse nonsymmetric linear system, incomplete $L U$ factorization of local or overlapping diagonal blocks
F11DNF	Complex sparse non-Hermitian linear systems, incomplete $L U$ factorization
F11DTF	Complex sparse nonsymmetric linear system, incomplete $L U$ factorization of local or overlapping diagonal blocks
F11JAF	Real sparse symmetric matrix, incomplete Cholesky factorization
F11JNF	Complex sparse Hermitian matrix, incomplete Cholesky factorization
F11MEF	$L U$ factorization of real sparse matrix

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Keyword Index for the NAG Library Manual

NAG Library Manual