F01BVF

Reduction to standard form, generalized real symmetricdefinite 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 symmetricdefinite generalized eigenproblem Ax = λ Bx, ABx = λ x or BAx = λ x, B factorized by F07FDF 
F08SSF

Reduction to standard form of complex Hermitiandefinite generalized eigenproblem Ax = λ Bx, ABx = λ x or BAx = λ x, B factorized by F07FRF 
F08TEF

Reduction to standard form of real symmetricdefinite 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 Hermitiandefinite generalized eigenproblem Ax=λ Bx, ABx = lamda x or BAx = λ x, packed storage, B factorized by F07GRF 
F08UEF

Reduction of real symmetricdefinite 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 Hermitiandefinite 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
