A KQZ algorithm for solving linear-response eigenvalue equations

Author:

Flaschka Ulrike,Lin Wen-Wei,Wu Jy-Liang

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference8 articles.

1. The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices;Davidson;J. Comput. Phys.,1975

2. Sur Quelques Algorithmes de Recherche de Valeurs Propres;Della-Dora,1973

3. Matrix Computation;Golub,1983

4. Reduction of the symmetric eigenproblem Ax=λBx and related problems to standard form;Martin;Numer. Math.,1968

5. An algorithm for generalized matrix eigenvalue problems;Moler;SIAM J. Numer. Anal.,1973

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1. Trace minimization method via penalty for linear response eigenvalue problems;Journal of Industrial & Management Optimization;2021

2. Structure-preserving ΓQR and Γ-Lanczos algorithms for Bethe–Salpeter eigenvalue problems;Journal of Computational and Applied Mathematics;2018-10

3. A projected preconditioned conjugate gradient method for the linear response eigenvalue problem;Numerical Algebra, Control & Optimization;2018

4. A symmetric structure-preserving ΓQR algorithm for linear response eigenvalue problems;Linear Algebra and its Applications;2017-05

5. Recent Progress in Linear Response Eigenvalue Problems;Lecture Notes in Computational Science and Engineering;2017

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