Deflation algorithm for the multiple roots of a system of nonlinear equations |
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Authors: | Takeo Ojika Satoshi Watanabe Taketomo Mitsui |
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Affiliation: | Osaka Kyoiku University, Osaka, Japan;Yamagata University, Yamagata, Japan;RIMS, Kyoto University, Kyoto, Japan |
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Abstract: | T. Ojika, S. Watanabe, and T. Mitsui (in preparation) have been developing a subroutine package NAES (Nonlinear Algebraic Equations Solver) for the numerical solutions of the system of nonlinear equations. An algorithm, in the package, termed the deflation algorithm, for determining multiple roots for a system of nonlinear equations, is presented and its effectiveness is shown by solving a numerical example. |
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