On the choice of a method for solving a general system of nonlinear equations (Q1395262)

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scientific article; zbMATH DE number 1940640
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On the choice of a method for solving a general system of nonlinear equations
scientific article; zbMATH DE number 1940640

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    On the choice of a method for solving a general system of nonlinear equations (English)
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    1 July 2003
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    The authors propose a criterion that determines whether or not a system of nonlinear equations is degenerate with respect to its solutions. The criterion is based on an analysis of information on the system operator at a point from a sufficiently small neighborhood of the solution. Based on the prediction mode, either a conventional numerical method or a method intended for degenerate problems is used to solve the system.
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    nonlinear equations
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    degeneration
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    singular
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    2-regularity
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    2-factor method
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    criterion
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    solution
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