The Representation and Computational Procedures for the Generalized Inverse of an OperatorAin Hilbert Spaces

DOI10.1080/01630560902735314zbMath1165.47004OpenAlexW2326916722MaRDI QIDQ3615541

Yaoming Yu, Yi-Min Wei

Publication date: 20 March 2009

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

Full work available at URL: https://doi.org/10.1080/01630560902735314

zbMATH Keywords

representationerror boundbounded linear operatorgeneralised inverses \(A^{(2)}_{T,S}\)

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (16)

Neural network approach to computing outer inverses based on the full rank representation ⋮ A new representation for \(A_{T, S}^{(2, 3)}\) ⋮ The iterative methods for computing the generalized inverse \(A^{(2)}_{T,S}\) of the bounded linear operator between Banach spaces ⋮ A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix ⋮ Weighted inner inverse for rectangular matrices ⋮ Note on the iterative methods for computing the generalized inverse over Banach spaces ⋮ Weighted G-Outer Inverse of Banach Spaces Operators ⋮ The \((b,c)\)-inverse in rings and in the Banach context ⋮ A family of iterative methods for computing Moore-Penrose inverse of a matrix ⋮ Modified SMS method for computing outer inverses of Toeplitz matrices ⋮ Recurrent Neural Network for Computing Outer Inverse ⋮ Further results on the (b, c)-inverse, the outer inverse AT,S(2) and the Moore–Penrose inverse in the Banach context ⋮ Further results on iterative methods for computing generalized inverses ⋮ Higher-order convergent iterative method for computing the generalized inverse over Banach spaces ⋮ Integral representation of the \(W\)-weighted Drazin inverse for Hilbert space operators ⋮ Integral and limit representations of the outer inverse in Banach space

Cites Work

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• On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\)

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