Computation of a few small eigenvalues of a large matrix with application to liquid crystal modeling

DOI10.1006/jcph.1998.6064zbMath0922.65026OpenAlexW2027197957MaRDI QIDQ1275165

Arden Ruttan, Daniela Calvetti, Lothar Reichel, James Baglama

Publication date: 17 January 1999

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.6064

zbMATH Keywords

numerical examplesdifference schemespreconditionersextreme eigenvaluesimplicitly restarted block Lanczos methodliquid crystals Newton's methodsubspace iterations

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Estimates of eigenvalues in context of PDEs (35P15) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

An implicitly restarted block Lanczos bidiagonalization method using Leja shifts, Augmented block Householder Arnoldi method, Residual algorithm for large-scale positive definite generalized eigenvalue problems, Eigenvalue analysis of structures with interval parameters using the second-order Taylor series expansion and the DCA for QB, The implicitly restarted multi-symplectic block-Lanczos method for large-scale Hermitian quaternion matrix eigenvalue problem and applications, Polynomial characterizations of the approximate eigenvectors by the refined Arnoldi method and an implicitly restarted refined Arnoldi algorithm, Iterative methods for large continuation problems

Uses Software

• eigs
• ARPACK
• TOMS-686
• JDQZ
• IRAM
• LASO2

Cites Work

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