Chapter 2 Eigensystem Analysis
Routines
Eigenvalue Decomposition
Computes the eigenvalues of a self-adjoint matrix
, LIN_EIG_SELF Computes the eigenvalues of an n × n matrix
, LIN_EIG_GEN Computes the generalized eigenvalues of an n × n matrix
pencil,
Av =
λBv, LIN_GEIG_GENEigenvalues and (Optionally) Eigenvectors of Ax = λx
Real General Problem Ax = λx
All eigenvalues and eigenvectors
, EVCRGComplex General Problem Ax = λx
All eigenvalues and eigenvectors
, EVCCGReal Symmetric Problem Ax = λx
All eigenvalues and eigenvectors
, EVCSFExtreme eigenvalues
, EVASFExtreme eigenvalues and their eigenvectors
, EVESFEigenvalues in an interval
, EVBSFEigenvalues in an interval and their eigenvectors
, EVFSFReal Band Symmetric Matrices in Band Storage Mode
All eigenvalues and eigenvectors
, EVCSBExtreme eigenvalues
, EVASBExtreme eigenvalues and their eigenvectors
, EVESBEigenvalues in an interval
, EVBSBEigenvalues in an interval and their eigenvectors
, EVFSBComplex Hermitian Matrices
All eigenvalues and eigenvectors
, EVCHFExtreme eigenvalues
, EVAHFExtreme eigenvalues and their eigenvectors
, EVEHFEigenvalues in an interval
, EVBHFEigenvalues in an interval and their eigenvectors
, EVFHFReal Upper Hessenberg Matrices
All eigenvalues and eigenvectors
, EVCRHComplex Upper Hessenberg Matrices
All eigenvalues and eigenvectors
, EVCCHEigenvalues and (Optionally) Eigenvectors of Ax = λBx
Real General Problem Ax = λBx
All eigenvalues and eigenvectors
, GVCRGComplex General Problem Ax = λBx
All eigenvalues and eigenvectors
, GVCCGReal Symmetric Problem Ax = λBx
All eigenvalues and eigenvectors
, GVCSPEigenvalues and Eigenvectors Computed with ARPACK
Fortran 2003 Usage,
Real singular value decomposition
AV = US, ARPACK_SVD