# Keyword : Reduced

 F08JEF All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from real symmetric matrix using the implicit $QL$ or $QR$ algorithm F08JGF Computes all eigenvalues and eigenvectors of real symmetric positive definite tridiagonal matrix, reduced from real symmetric positive definite matrix F08JSF All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from complex Hermitian matrix, using the implicit $QL$ or $QR$ algorithm F08JUF Computes all eigenvalues and eigenvectors of real symmetric positive definite tridiagonal matrix, reduced from complex Hermitian positive definite matrix F08MEF SVD of real bidiagonal matrix reduced from real general matrix F08MSF SVD of real bidiagonal matrix reduced from complex general matrix 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 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

© The Numerical Algorithms Group Ltd, Oxford UK. 2013