A Class of Parameter-free Filled Functions for Box-constrained System of Nonlinear Equations-中国期刊网

摘要 Inthispaper,aclassofparameter-freefilledfunctionsisproposedforsolvingbox-constrainedsystemofnonlinearequations.Firstly,theoriginalproblemisconvertedintoanequivalentglobaloptimizationproblem.Subsequently,aclassofparameter-freefilledfunctionsisproposedforsolvingtheproblem.Somepropertiesofthenewclassoffilledfunctionsarestudiedanddiscussed.Finally,analgorithmwhichneithercomputesnorexplicitlyapproximatesgradientsduringminimizingthefilledfunctionsispresented.Theglobalconvergenceofthealgorithmisalsoestablished.Theimplementationofthealgorithmonseveraltestproblemsisreportedwithsatisfactorynumericalresults.

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A Class of Parameter-free Filled Functions for Box-constrained System of Nonlinear Equations

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A Class of Parameter-free Filled Functions for Box-constrained System of Nonlinear Equations

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