Implementation of a variable block Davidson method with deflation for solving large sparse eigenproblems

DOI10.1023/A:1019199700323zbMath0940.65039OpenAlexW1674304619MaRDI QIDQ1805944

Roger B. Sidje, Miloud Sadkane

Publication date: 10 July 2000

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019199700323

zbMATH Keywords

algorithmspreconditioningnumerical testscomparisonssoftware packageARPACK sparse eigenvalue packagecompressed column storagecoordiantesHarwell-Boeinglarge sparse eigenproblemsvariable block Davidson method with deflation

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical computation of matrix norms, conditioning, scaling (65F35) Packaged methods for numerical algorithms (65Y15)

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A modified harmonic block Arnoldi algorithm with adaptive shifts for large interior eigen\-problems ⋮ A thick-restarted block Arnoldi algorithm with modified Ritz vectors for large eigenproblems ⋮ Block Krylov-Schur method for large symmetric eigenvalue problems ⋮ A geometric theory for preconditioned inverse iteration. III: A short and sharp convergence estimate for generalized eigenvalue problems

Uses Software

• Matlab
• ITSOL
• ARPACK
• Algorithm 740
• SPARSKIT
• na18