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The iterative methods for \(A^{(2)}_{T,S}\) of the bounded linear operator between Banach spaces - MaRDI portal

The iterative methods for \(A^{(2)}_{T,S}\) of the bounded linear operator between Banach spaces (Q500000)

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scientific article; zbMATH DE number 6490718
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The iterative methods for \(A^{(2)}_{T,S}\) of the bounded linear operator between Banach spaces
scientific article; zbMATH DE number 6490718

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    The iterative methods for \(A^{(2)}_{T,S}\) of the bounded linear operator between Banach spaces (English)
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    7 October 2015
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    The aim of this paper is to describe iterative methods for approximating an outer generalized inverse \(A_{T, S}^{(2)}\) of the bounded linear operator \(A\) between Banach spaces. The convergence analysis is conducted. The error bounds are derived. Results of numerical examples are given.
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    outer inverse \(A_{T, S}^{(2)}\)
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    Moore-Penrose inverse \(A^\dag\)
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    Bott-Duffin inverse \(A_{(L)}^{(-1)}\)
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    Banach space
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    convergence analysis
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    iterative method
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    bounded linear operator
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    error bound
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    numerical example
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