Bounds on Changes in Ritz Values for a Perturbed Invariant Subspace of a Hermitian Matrix

DOI10.1137/070684628zbMath1171.15018arXivmath/0610498OpenAlexW2058675343WikidataQ59695816 ScholiaQ59695816MaRDI QIDQ3624854

Ivo Panayotov, Christopher C. Paige, Andrew V. Knyazev, Merico E. Argentati

Publication date: 30 April 2009

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610498

zbMATH Keywords

inequalitiesHermitian matriceseigenvaluesinvariant subspacesRitz valuesRayleigh-Ritz methodmajorizationperturbation boundsangle between subspaces

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (9)

Adaptive computation of smallest eigenvalues of self-adjoint elliptic partial differential equations ⋮ Majorization bounds for SVD ⋮ The spectral spread of Hermitian matrices ⋮ Rayleigh--Ritz Majorization Error Bounds of Mixed Type ⋮ Majorization Bounds for Ritz Values of Self-Adjoint Matrices ⋮ An adaptive homotopy approach for non-selfadjoint eigenvalue problems ⋮ Rayleigh-Ritz majorization error bounds for the linear response eigenvalue problem ⋮ 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

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