The Basic Principles for Stable Approximations to Orthogonal Generalized Inverses of Linear Operators in Hilbert Spaces

DOI10.1080/01630560500377329zbMath1164.65414OpenAlexW2039418213MaRDI QIDQ3368581

Nailin Du

Publication date: 31 January 2006

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

Full work available at URL: https://doi.org/10.1080/01630560500377329

zbMATH Keywords

stabilityconsistencyHilbert spacesperfect convergenceorthogonal generalised inversesperfect uniform convergence

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (3)

A factorization of least-squares projection schemes for ill-posed problems ⋮ On Ad-Nonprojection Method for Stable Approximation to Infinite-Dimensional Moore–Penrose Inverse ⋮ Generalization of Lax equivalence theorem on unbounded self-adjoint operators with applications to Schrödinger operators

Cites Work

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• Perturbation of least squares problem in Hilbert spaces.
• A note on the principal theorems in the theory of functional analysis
• Functional Analysis
• On the Continuity of the Generalized Inverse

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