New bounds for perturbation of the orthogonal projection

DOI10.1007/s10092-012-0058-0zbMath1266.65064OpenAlexW2086872883MaRDI QIDQ1946610

Wen Li, Bingxiang Li, Lu-Bin Cui

Publication date: 15 April 2013

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-012-0058-0

zbMATH Keywords

singular value decompositionMoore-Penrose inverseorthogonal projectionmultiplicative perturbationadditive perturbation

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10)

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On perturbation bounds for orthogonal projections ⋮ Trading Beams for Bandwidth: Imaging with Randomized Beamforming ⋮ Some refined bounds for the perturbation of the orthogonal projection and the generalized inverse ⋮ On the perturbation of an \(L^2\)-orthogonal projection

Cites Work

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• Some new perturbation bounds for subunitary polar factors
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• Perturbation analysis for the eigenproblem of periodic matrix pairs

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