Some refined bounds for the perturbation of the orthogonal projection and the generalized inverse

DOI10.1007/s11075-018-0473-7zbMath1397.65051OpenAlexW2785968950MaRDI QIDQ1785551

Wen Li, Yan Mei Chen, Qi-Lun Luo, Seak Weng Vong

Publication date: 1 October 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-018-0473-7

zbMATH Keywords

perturbationsingular value decompositiongeneralized inverseorthogonal projection

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Iterative numerical methods for linear systems (65F10)

Related Items (4)

Estimating covariance and precision matrices along subspaces ⋮ On the perturbation of an \(L^2\)-orthogonal projection ⋮ On the perturbation of the Moore-Penrose inverse of a matrix ⋮ Perturbation bounds of core inverse under the Frobenius norm

Cites Work

• On perturbation bounds for orthogonal projections
• The optimal perturbation bounds of the Moore-Penrose inverse under the Frobenius norm
• New bounds for perturbation of the orthogonal projection
• Combined perturbation bounds. II: Polar decompositions
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• Combined Perturbation Bounds: I. Eigensystems and Singular Value Decompositions

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