On proximity of Rayleigh quotients for different vectors and Ritz values generated by different trial subspaces

DOI10.1016/j.laa.2005.06.032zbMath1092.65030OpenAlexW2100185573WikidataQ59695839 ScholiaQ59695839MaRDI QIDQ2368741

Andrew V. Knyazev, Merico E. Argentati

Publication date: 28 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.06.032

zbMATH Keywords

numerical examplesperturbation of eigenvaluesRayleigh quotientssymmetric eigenvalue problemsperturbation of trial subspacesRayleigh-Ritz approximations

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (7)

The spectral spread of Hermitian matrices ⋮ Convergence of integration-based methods for the solution of standard and generalized Hermitian eigenvalue problems ⋮ Rayleigh--Ritz Majorization Error Bounds of Mixed Type ⋮ Convergence of the forward-backward algorithm: beyond the worst-case with the help of geometry ⋮ Majorization Bounds for Ritz Values of Self-Adjoint Matrices ⋮ Angles between infinite dimensional subspaces with applications to the Rayleigh-Ritz and alternating projectors methods ⋮ Absolute Variation of Ritz Values, Principal Angles, and Spectral Spread

Cites Work

• A subspace preconditioning algorithm for eigenvector/eigenvalue computation
• Inequalities: theory of majorization and its applications
• Unnamed Item
• Unnamed Item

This page was built for publication: On proximity of Rayleigh quotients for different vectors and Ritz values generated by different trial subspaces