Generalized subspace iteration method for solving matrix pair eigenproblem

DOI10.22124/jmm.2019.13944.1297zbMath1445.15003OpenAlexW2973411673MaRDI QIDQ5212573

A. Kanber, Kamal Lachhab, Abdeslem Hafid Bentbib

Publication date: 29 January 2020

Full work available at URL: https://jmm.guilan.ac.ir/article_3574_0141f64dd2738f765c7053c4fc9f0630.pdf

zbMATH Keywords

generalized eigenvaluesmatrix pencilgeneralized QR-Francisgeneralized subspace iteration method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)

Cites Work

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• Fast inexact subspace iteration for generalized eigenvalue problems with spectral transformation
• Shift-invert and Cayley transforms for detection of rightmost eigenvalues of nonsymmetric matrices
• Structured Eigenvalue Problems
• Balancing the Generalized Eigenvalue Problem
• The Combination Shift $QZ$ Algorithm
• Some Thoughts on the QZ Algorithm for Solving the Generalized Eigenvalue Problem
• Blocked algorithms and software for reduction of a regular matrix pair to generalized Schur form
• Generalized eigenvalue problems with specified eigenvalues
• An Algorithm for Generalized Matrix Eigenvalue Problems

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