A new algorithm for solving large-scale generalized eigenvalue problem based on projection methods

DOI10.1155/2020/8895856zbMath1459.65050OpenAlexW3111027536MaRDI QIDQ826429

N. E. Zubov

Publication date: 4 January 2021

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/8895856

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Preconditioners for iterative methods (65F08)

Uses Software

• CIRR

Cites Work

• Convergence analysis of modified iterative methods to solve linear systems
• An analytical method as a preconditioning modeling for systems of linear equations
• A new restarting method in the Lanczos algorithm for generalized eigenvalue problem
• Contour integral eigensolver for non-Hermitian systems: a Rayleigh-Ritz-type approach
• Weighted FOM-inverse vector iteration method for computing a few smallest (largest) eigenvalues of pair (A, B)
• A projection method for generalized eigenvalue problems using numerical integration.
• Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems
• On locating clusters of zeros of analytic functions
• A block Arnoldi-type contour integral spectral projection method for solving generalized eigenvalue problems
• FOM-inverse vector iteration method for computing a few smallest (largest) eigenvalues of pair (A,B)
• CIRR: a Rayleigh-Ritz method with contour integral for generalized eigenvalue problems
• A filter diagonalization for generalized eigenvalue problems based on the Sakurai-Sugiura projection method
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