An object-oriented C++ implementation of Davidson method for finding a few selected extreme eigenpairs of a large, sparse, real, symmetric matrix

DOI10.1016/j.cpc.2007.06.003zbMath1196.65073OpenAlexW1971128837MaRDI QIDQ710151

Jacek Matulewski, Tomasz Dziubak

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2007.06.003

zbMATH Keywords

eigenvalueeigenvectorDavidson methodcomputational physicseigenstatereal symmetric matrix\texttt{Davidson}computational quantum chemistry

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Related Items (1)

Davidson

Uses Software

• DVDSON

Cites Work

• The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
• Super-matrix methods
• A Davidson program for finding a few selected extreme eigenpairs of a large, sparse, real, symmetric matrix
• The Davidson Method
• A comparison of eigensolvers for large-scale 3D modal analysis using AMG-preconditioned iterative methods
• Modified Gram-Schmidt (MGS), Least Squares, and Backward Stability of MGS-GMRES

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