Perturbation Analysis of the Algebraic Metric Generalized Inverse in Lp(Ω,μ)

DOI10.1080/01630563.2017.1379025zbMath1491.47001OpenAlexW2756072329MaRDI QIDQ4602175

Yifeng Xue, Jian Bing Cao

Publication date: 26 January 2018

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2017.1379025

zbMATH Keywords

gap functionmetric generalized inversebest approximate solutionstable perturbation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear operators and ill-posed problems, regularization (47A52)

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Perturbation of the Moore–Penrose Metric generalized inverse with applications to the best approximate solution problem in L^p(Ω, μ) ⋮ The Sherman–Morrison–Woodbury formula for the Moore–Penrose metric generalized inverse

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