Eigenvalue Decomposition
Computes the eigenvalues of a self-adjoint matrix, A......................................... LIN_EIG_SELF
Computes the eigenvalues of an n × n matrix, A................................................ LIN_EIG_GEN
Computes the generalized eigenvalues of an n × n matrix pencil, Av = λBv........ LIN_GEIG_GEN
Eigenvalues and (Optionally) Eigenvectors of Ax = λx
Real General Problem Ax = λx
All eigenvalues..................................................................................................... EVLRG
All eigenvalues and eigenvectors........................................................................... EVCRG
Performance index................................................................................................ EPIRG
Complex General Problem Ax = λx
All eigenvalues..................................................................................................... EVLCG
All eigenvalues and eigenvectors........................................................................... EVCCG
Performance index................................................................................................ EPICG
Real Symmetric Problem Ax = λx
All eigenvalues..................................................................................................... EVLSF
All eigenvalues and eigenvectors........................................................................... EVCSF
Extreme eigenvalues............................................................................................ EVASF
Extreme eigenvalues and their eigenvectors............................................................ EVESF
Eigenvalues in an interval...................................................................................... EVBSF
Eigenvalues in an interval and their eigenvectors...................................................... EVFSF
Performance index................................................................................................. EPISF
Real Band Symmetric Matrices in Band Storage Mode
All eigenvalues..................................................................................................... EVLSB
All eigenvalues and eigenvectors........................................................................... EVCSB
Extreme eigenvalues............................................................................................ EVASB
Extreme eigenvalues and their eigenvectors........................................................... EVESB
Eigenvalues in an interval...................................................................................... EVBSB
Eigenvalues in an interval and their eigenvectors..................................................... EVFSB
Performance index................................................................................................ EPISB
Complex Hermitian Matrices
All eigenvalues..................................................................................................... EVLHF
All eigenvalues and eigenvectors........................................................................... EVCHF
Extreme eigenvalues............................................................................................ EVAHF
Extreme eigenvalues and their eigenvectors............................................................ EVEHF
Eigenvalues in an interval...................................................................................... EVBHF
Eigenvalues in an interval and their eigenvectors...................................................... EVFHF
Performance index................................................................................................. EPIHF
Real Upper Hessenberg Matrices
All eigenvalues..................................................................................................... EVLRH
All eigenvalues and eigenvectors........................................................................... EVCRH
Complex Upper Hessenberg Matrices
All eigenvalues..................................................................................................... EVLCH
All eigenvalues and eigenvectors........................................................................... EVCCH
Eigenvalues and (Optionally) Eigenvectors of Ax = λBx
Real General Problem Ax = λBx
All eigenvalues.................................................................................................... GVLRG
All eigenvalues and eigenvectors........................................................................... GVCRG
Performance index................................................................................................ GPIRG
Complex General Problem Ax = λBx
All eigenvalues.................................................................................................... GVLCG
All eigenvalues and eigenvectors........................................................................... GVCCG
Performance index................................................................................................ GPICG
2.3.3 Real Symmetric Problem Ax = λBx
All eigenvalues..................................................................................................... GVLSP
All eigenvalues and eigenvectors........................................................................... GVCSP
Performance index................................................................................................ GPISP
2.4. Eigenvalues and Eigenvectors Computed with ARPACK
Fortran 2003 Usage
The Base Class....................................................................................... ARPACKBASE
Real Symmetric Problem Ax = λBx................................................ ARPACK_SYMMETRIC
Real singular value decomposition AV = US................................................ ARPACK_SVD
Real General Problem Ax = λBx.............................................. ARPACK_NONSYMMETRIC
Complex General Problem Ax = λBx.................................................. ARPACK_COMPLEX
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