Reduction

F01BVF   Reduction to standard form, generalized real symmetric-definite banded eigenproblem
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 Ax = λ Bx, ABx = λ x or BAx = λ x, B factorized by F07FDF
F08SSF   Reduction to standard form of complex Hermitian-definite generalized eigenproblem Ax = λ Bx, ABx = λ x or BAx = λ x, B factorized by F07FRF
F08TEF   Reduction to standard form of real symmetric-definite generalized eigenproblem Ax=λ Bx, ABx = λ x or BAx = λ x, packed storage, B factorized by F07GDF
F08TSF   Reduction to standard form of complex Hermitian-definite generalized eigenproblem Ax=λ Bx, ABx = lamda x or BAx = λ x, packed storage, B factorized by F07GRF
F08UEF   Reduction of real symmetric-definite banded generalized eigenproblem Ax = λ Bx to standard form Cy = λ y, such that C has the same bandwidth as A
F08USF   Reduction of complex Hermitian-definite banded generalized eigenproblem Ax = λ Bx to standard form Cy = 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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© The Numerical Algorithms Group Ltd, Oxford UK. 2001