On a fast iterative method for approximate inverse of matrices (Q2842361)

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scientific article; zbMATH DE number 6198216
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On a fast iterative method for approximate inverse of matrices
scientific article; zbMATH DE number 6198216

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    13 August 2013
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    Hotelling-Bodewig algorithm
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    approximate inverse
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    generalized inverse
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    iterative method
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    convergence
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    On a fast iterative method for approximate inverse of matrices (English)
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    The author proposes an iterative method for approximate computation of the inverse of a matrix, and proves that it has local seventh-order convergence. The method can also be used to compute generalized inverses. Since each iterative step requires seven matrix multiplications, the main application of the method is likely to be to matrices of special structure for which such multiplications require little effort.
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