A third order iterative method for \(A^\dagger\) (Q391725)

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scientific article; zbMATH DE number 6244421
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A third order iterative method for \(A^\dagger\)
scientific article; zbMATH DE number 6244421

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    A third order iterative method for \(A^\dagger\) (English)
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    10 January 2014
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    The authors propose and theoretically analyze a new, third-order iterative method for approximating the Moore-Penrose pseudoinverse of a matrix. Their method is obtained by extending a previous second-order one, proposed by \textit{M. D. Petković} and \textit{P. S. Stanimirović} [J. Comput. Appl. Math. 235, No. 6, 1604--1613 (2011; Zbl 1206.65139)]. Numerical examples and comparisons between the two methods are also presented.
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    Moore-Penrose generalized inverse
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    CPU time
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    convergence analysis
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    residual
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    singular matrices
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    condition numbers
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