ARPACK Users' Guide

List of figures; List of tables; Preface; 1. Introduction to ARPACK. Important features; Getting started; Reverse communication interface; Availability; Installation; Documentation; Dependence on LAPACK and BLAS; Expected performance; P_ARPACK; Contributed additions; Trouble shooting and problems; 2. Getting started with ARPACK. Directory structure and contents; Getting started; An example for a symmetric Eigenvalue problem; 3. General use of ARPACK. Naming conventions, Precisions, and types; Shift and invert spectral transformation mode; Reverse communication structure for shift-Invert; Using the computational modes; Computational modes for real symmetric problems; Postprocessing for Eigenvectors using dseupd; Computational modes for real nonsymmetric problems; Postprocessing for Eigenvectors Using dneupd; Computational modes for complex problems; Postprocessing for Eigenvectors Using zneupd; 4. The implicitly restarted Arnoldi method: structure of the Eigenvalue problem; Krylov subspaces and projection methods; The Arnoldi factorization; Restarting the Arnoldi method; The generalized Eigenvalue problem; Stopping Criterion; 5. Computational routines. ARPACK subroutines; LAPACK routines used by ARPACK; BLAS routines used by ARPACK; Appendix A. Templates and driver routines; Symmetric drivers; Real Nonsymmetric drivers; Complex drivers; Band drivers; The singular value decomposition; Appendix B. Tracking the progress of ARPACK. Obtaining trace output; Check-pointing ARPACK; Appendix C. The XYaupd ARPACK Routines. DSAUPD; DNAUPD; ZNAUPD; Bibliography; Index.