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A smoothing conic trust region filter method for the nonlinear complementarity problem - MaRDI portal

A smoothing conic trust region filter method for the nonlinear complementarity problem (Q1023330)

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scientific article; zbMATH DE number 5564263
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A smoothing conic trust region filter method for the nonlinear complementarity problem
scientific article; zbMATH DE number 5564263

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    A smoothing conic trust region filter method for the nonlinear complementarity problem (English)
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    11 June 2009
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    In this paper, a new conic trust region filter method is proposed to solve the nonlinear complementarity problem by combining the advantage of a trust region based on the conic model and filter method. The author shows that every accumulation point of the sequence generated by the algorithm is a solution of the nonlinear complementarity problem. The global convergence is proved. Under a nonsingularity condition, the superlinear convergence of the algorithm is established in the absence of strict complementarity.
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    nonlinear complementarity problem
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    trust region method
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    conic model
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    filter method
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    global convergence
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    algorithm
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    superlinear convergence
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