Keyword : Reduction

F01BVF	Reduction to standard form, generalized real symmetric-definite banded eigenproblem
F08BHF	Reduces a real upper trapezoidal matrix to upper triangular form
F08BVF	Reduces a complex upper trapezoidal matrix to upper triangular form
F08FEF	Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form
F08FFF	Generate orthogonal transformation matrix from reduction to tridiagonal form determined by F08FEF
F08FSF	Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form
F08FTF	Generate unitary transformation matrix from reduction to tridiagonal form determined by F08FSF
F08GEF	Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form, packed storage
F08GFF	Generate orthogonal transformation matrix from reduction to tridiagonal form determined by F08GEF
F08GSF	Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form, packed storage
F08GTF	Generate unitary transformation matrix from reduction to tridiagonal form determined by F08GSF
F08HEF	Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form
F08HSF	Unitary reduction of complex Hermitian band matrix to real symmetric tridiagonal form
F08KEF	Orthogonal reduction of real general rectangular matrix to bidiagonal form
F08KFF	Generate orthogonal transformation matrices from reduction to bidiagonal form determined by F08KEF
F08KGF	Apply orthogonal transformations from reduction to bidiagonal form determined by F08KEF
F08KSF	Unitary reduction of complex general rectangular matrix to bidiagonal form
F08KTF	Generate unitary transformation matrices from reduction to bidiagonal form determined by F08KSF
F08KUF	Apply unitary transformations from reduction to bidiagonal form determined by F08KSF
F08LEF	Reduction of real rectangular band matrix to upper bidiagonal form
F08LSF	Reduction of complex rectangular band matrix to upper bidiagonal form
F08NEF	Orthogonal reduction of real general matrix to upper Hessenberg form
F08NFF	Generate orthogonal transformation matrix from reduction to Hessenberg form determined by F08NEF
F08NGF	Apply orthogonal transformation matrix from reduction to Hessenberg form determined by F08NEF
F08NSF	Unitary reduction of complex general matrix to upper Hessenberg form
F08NTF	Generate unitary transformation matrix from reduction to Hessenberg form determined by F08NSF
F08NUF	Apply unitary transformation matrix from reduction to Hessenberg form determined by F08NSF
F08SEF	Reduction to standard form of real symmetric-definite generalized eigenproblem $A x = λ B x$ , $A B x = λ x$ or $B A x = λ x$ , $B$ factorized by F07FDF
F08SSF	Reduction to standard form of complex Hermitian-definite generalized eigenproblem $A x = λ B x$ , $A B x = λ x$ or $B A x = λ x$ , $B$ factorized by F07FRF
F08TEF	Reduction to standard form of real symmetric-definite generalized eigenproblem $A x = λ B x$ , $A B x = λ x$ or $B A x = λ x$ , packed storage, $B$ factorized by F07GDF
F08TSF	Reduction to standard form of complex Hermitian-definite generalized eigenproblem $A x = λ B x$ , $A B x = λ x$ or $B A x = λ x$ , packed storage, $B$ factorized by F07GRF
F08UEF	Reduction of real symmetric-definite banded generalized eigenproblem $A x = λ B x$ to standard form $C y = λ y$ , such that $C$ has the same bandwidth as $A$
F08USF	Reduction of complex Hermitian-definite banded generalized eigenproblem $A x = λ B x$ to standard form $C y = λ y$ , such that $C$ has the same bandwidth as $A$
F08WEF	Orthogonal reduction of a pair of real general matrices to generalized upper Hessenberg form
F08WSF	Unitary reduction of a pair of complex general matrices to generalized upper Hessenberg form

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