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- W61118079 abstract "Abstract: In this paper we propose a novel method for solving a nonlinear op-timization problem (NOP) under multipleequality and inequalityconstraints. TheKuhn-Tucker optimality conditions are used to transform the NOP into a mixedcomplementarityproblem(MCP).Withtheaidof(nonlinearcomplementarityprob-lem)NCP-functionsasetofnonlinearalgebraicequationsisobtained. Thenwede-velop a fictitioustime integration method to solve these nonlinear equations. Sev-eral numerical examples of optimization problems, the inverse Cauchy problemsand plasticity equations are used to demonstrate that the FTIM is highly efficientto calculate the NOPs and MCPs. The present method has some advantages ofeasy numerical implementation, ease of treating NOPs, and the ease of extensionto higher-dimensionalNOPs. Keyword: Nonlinear optimization problem, Mixed complementarity problem,NCP-functions,Fictitioustime integrationmethod (FTIM) 1 Introduction In thispaper we consider the followingnonlinearoptimizationproblem, subject toequalityand inequalityconstraints:min" @default.
- W61118079 created "2016-06-24" @default.
- W61118079 creator A5068824377 @default.
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- W61118079 date "2008-09-01" @default.
- W61118079 modified "2023-09-27" @default.
- W61118079 title "A Fictitious Time Integration Method (FTIM) for Solving Mixed Complementarity Problems with Applications to Non-Linear Optimization" @default.
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- W61118079 doi "https://doi.org/10.3970/cmes.2008.034.155" @default.
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