Eigensystem Analysis

Functions

Ordinary Linear Eigensystem Problems

General Matrices

Eigenvalues and eigenvectors eig_gen

Eigenvalues and eigenvectors eig_gen (complex)

Real Symmetric Matrices

Eigenvalues and eigenvectors of full matrices eig_sym

Eigenvalues and eigenvectors of band matrices eig_sym_band

Complex Hermitian Matrices

Eigenvalues and eigenvectors of full matrices eig_herm (complex)

Eigenvalues or eigenpairs of a complex Hermitian matrix A in band storage format eig_herm_band (complex)

Generalized Linear Eigensystem Problems

Real Symmetric Matrices and B Positive Definite

Eigenvalues and eigenvectors eig_symgen

General Matrices

Real matrices geneig

Complex matrices geneig (complex)

Eigenvalues and Eigenvectors computed with ARPACK

Symmetric and General Problems

Real Symmetric Problem Ax = λBx arpack_symmetric

Real Singular Value Decomposition A = UΣV T arpack_svd

Real Generalized Problem Ax = λBx arpack_general

Complex Generalized Problem Ax = λBx arpack_general (complex)