New software for large dense symmetric generalized eigenvalue problems using secondary storage

DOI10.1016/0021-9991(88)90167-2zbMath0646.65034OpenAlexW2027451001WikidataQ111897978 ScholiaQ111897978MaRDI QIDQ1104043

Horst D. Simon, Roger. G. Grimes

Publication date: 1988

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(88)90167-2

zbMATH Keywords

comparison of methodsLanczos algorithmeigenpairsvector computersout-of-core solutionsymmetric generalized eigenproblem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (1)

Computation of minimum eigenvalue through minimization of rayleigh's quotient for large sparse matrices using vector computer:

Uses Software

• EISPACK

Cites Work

• The solution of large dense generalized eigenvalue problems on the Cray X-MP/24 with SSD
• Matrix eigensystem routines - EISPACK guide. 2nd ed
• Matrix eigensystem routines. EISPACK guide extension
• A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem
• An extended set of FORTRAN basic linear algebra subprograms
• Solution of large, dense symmetric generalized eigenvalue problems using secondary storage

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