Claculating interior eigenvalues and eigenvectors with an implicitly restarted and a filter diagonalization method

DOI10.1016/S0168-9274(00)00046-5zbMath0986.65029OpenAlexW2002424432MaRDI QIDQ5937473

Shi-Wei Huang, Tucker jun. Carrington

Publication date: 11 June 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(00)00046-5

zbMATH Keywords

comparisoneigenvalueeigenvectorLanczos methoditerative methodsfilter diagonalization methodsymmetric matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Uses Software

• EISPACK
• ARPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
• Matrix eigensystem routines. EISPACK guide extension
• Iterative methods for the computation of a few eigenvalues of a large symmetric matrix
• Large sparse symmetric eigenvalue problems with homogeneous linear constraints: The Lanczos process with inner-outer iterations
• Iterative Solution of Indefinite Symmetric Linear Systems by Methods Using Orthogonal Polynomials over Two Disjoint Intervals
• The Spectral Transformation Lanczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• ARPACK Users' Guide
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems

This page was built for publication: Claculating interior eigenvalues and eigenvectors with an implicitly restarted and a filter diagonalization method