On perturbation bounds for orthogonal projections

descriptionPublicationkeyboard_double_arrow_right Article 26 Jan 2016 English Publisher:Springer Science and Business Media LLCJournal:Numerical Algorithms, volume 73, pages 433-444 (issn: 1017-1398, eissn: 1572-9265,

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Authors: Yanmei Chen; Xiao Shan Chen; Wen Li 0006;

doi: 10.1007/s11075-016-0102-2

On perturbation bounds for orthogonal projections

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Abstract

The authors investigate perturbation bounds of orthogonal projections onto the range of \(A\) and \(A^T\) of a given rectangular complex matrix \(A\). These combined perturbation bounds improve similar results previously obtained by other authors.

Related Organizations

South China Normal University
China (People's Republic of)

Keywords

Numerical computation of eigenvalues and eigenvectors of matrices, perturbation bound, Numerical solutions to overdetermined systems, pseudoinverses, orthogonal projection, Frobenius norm

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