Backward errors of periodic invariant subspaces for regular periodic matrix pairs

DOI10.1080/03081087.2014.903570zbMath1318.65018OpenAlexW2090564109MaRDI QIDQ5175364

Xianping Wu, Xiao Shan Chen, Wen Li

Publication date: 20 February 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2014.903570

zbMATH Keywords

numerical examplesbackward errorperiodic deflating subspacesgeneralized invariant subspacesperiodic invariant subspacesregular periodic matrix pairs

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical linear algebra (65F99)

Cites Work

• Backward perturbation analysis of certain characteristic subspaces
• An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems
• Perturbation analysis for the eigenvalue problem of a formal product of matrices
• A note on the backward errors for Hermite eigenvalue problems
• Perturbation of eigenvalues for periodic matrix pairs via the Bauer-Fike theorems
• Perturbation bounds for the periodic Schur decomposition
• Computing periodic deflating subspaces associated with a specified set of eigenvalues
• Matrix Analysis
• Numerical solution of the discrete-time periodic Riccati equation
• Structure-Preserving Algorithms for Periodic Discrete-Time Algebraic Riccati Equations
• Evaluating products of matrix pencils and collapsing matrix products
• Direct Eigenvalue Reordering in a Product of Matrices in Periodic Schur Form
• Perturbation analysis for the eigenproblem of periodic matrix pairs

This page was built for publication: Backward errors of periodic invariant subspaces for regular periodic matrix pairs