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An approach to the approximation of the inverse of a square matrix by He's homotopy perturbation method - MaRDI portal

An approach to the approximation of the inverse of a square matrix by He's homotopy perturbation method (Q2890654)

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scientific article; zbMATH DE number 6045026
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An approach to the approximation of the inverse of a square matrix by He's homotopy perturbation method
scientific article; zbMATH DE number 6045026

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    11 June 2012
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    homotopy perturbation method
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    inverse matrix
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    convergence theorems
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    numerical examples
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    An approach to the approximation of the inverse of a square matrix by He's homotopy perturbation method (English)
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    The author provides a numerical method to approximate the inverse of a square matrix. This approach is based on the so-called ''homotopy perturbation method'' (HPM) already presented in literature. Convergence theorems are proved and some numerical examples show the efficiency of the method. Unfortunately, neither error bound nor comparison with other known methods are presented.
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