On Ad-Nonprojection Method for Stable Approximation to Infinite-Dimensional Moore–Penrose Inverse

DOI10.1080/01630563.2020.1740930zbMath1459.65078OpenAlexW3013732570MaRDI QIDQ5150857

Shanlin Gan, Nailin Du

Publication date: 15 February 2021

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

Full work available at URL: https://doi.org/10.1080/01630563.2020.1740930

zbMATH Keywords

stability analysisgeneralized inverseadjoint consistencyperfect convergenceweak perfect convergence

Mathematics Subject Classification ID

Linear operator approximation theory (47A58) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items

Generalization of Lax equivalence theorem on unbounded self-adjoint operators with applications to Schrödinger operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence of generalized inverses and spline projectors
• Sufficient and necessary conditions for Moore-Penrose inverses \(A_ x^ +\) to be continuous
• On the necessary and sufficient conditions of the continuity of M-P inverses \(A_ x^ +\)
• On the continuity of generalized inverses of linear operators in Hilbert spaces.
• Perturbation of least squares problem in Hilbert spaces.
• Perturbation analysis of the least squares solution in Hilbert spaces
• Asymptotic Moore-Penrose invertibility of singular integral operators
• Sharp Norm-Estimations for Moore–Penrose Inverses of Stable Perturbations of Hilbert $C^*$-Module Operators
• The Basic Principles for Stable Approximations to Orthogonal Generalized Inverses of Linear Operators in Hilbert Spaces
• Finite-Dimensional Approximation Settings for Infinite-dimensional Moore–Penrose Inverses
• Inner, outer, and generalized inverses in banach and hilbert spaces