A new method for solving ill-conditioned linear systems (Q2871600)

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scientific article; zbMATH DE number 6243646
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A new method for solving ill-conditioned linear systems
scientific article; zbMATH DE number 6243646

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    A new method for solving ill-conditioned linear systems (English)
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    8 January 2014
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    matrix inversion
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    linear systems
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    Hilbert matrix
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    ill-conditioned
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    approximate inverse
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    algorithm
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    numerical experiment
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    The author proposes and theoretically analyzes a seven-order method for approximating the inverse of a square matrix. He shows the high efficiency of the algorithm through some numerical experiments on (very) ill-conditioned Hilbert matrices.
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