简介：Basedontheworkofpaper,weproposeamodifiedLevenberg-MarquardtalgoithmforsolvingsingularsystemofnonlinearequationsF(x)=0,whereF(x):R^n→R^niscontinuouslydifferentiableandF'(x)isLipschitzcontinuous.Thealgorithmisequivalenttoatrustregionalgorithminsomesense,andtheglobalconvergenceresultisgiven.Thesequencegeneratedbythealgorithmconvergestothesolutionquadratically,if||F(x)||2providesalocalerrorboundforthesystemofnonlinearequations.Numericalresultsshowthatthealgorithmperformswell.
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