求解对称非线性方程组的PSB算法.pdf

1、湖南大学硕士学位论文求解对称非线性方程组的PSB算法姓名：邱雄艳申请学位级别：硕士专业：应用数学指导教师：李董辉20100508硕士学位论文AbstractQuausiNe毗onmethod8aree伍cientmethodsfor∞Mngnonlinearequatio瑚8ndoptimizationproblemsUnderappropri8teconclitio璐，the∞methodsp08se鼹10calsuperlinear

2、convergenceproper哆Moreover，whenapphedto80Mng0ptimizationproblems，m08tqu锯0Ne毗onmethodsareglob氏Ⅱyconvergentifsomelinesearchtechniquei8usedHoWever，whenappliedtosoh他a科8temofnonhn_eaurequations，the911DbalcoIlvergence0fm08tqus

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5、shima(1999)developed8derivatiVe幻ehne鼬archthatdonotsu肋r矗om8uchdi伍cul饥andtheline∞a托hpo鹋铭appro)dmatelynomdescentproper虹LiFukushimaprovedthatBroydenlikemethods讲ththatlinese盯chis910ballyaIldsuperlinearlyconvergentF’0rsymmetri

6、cnonlinearequations，Lin】k11shima(1999)introducedaDFPmethod而thanotherderi、，ati俜丘eehnesearchandestabli8heditsglobalconVergencehthispaper，Westudythe910b“congvergenceofthePSBmethodw让hthes0calIedappro贩matelynormdescentderivat

7、iV争白eelinesearchde、relopedby“andF’ukushimaWbsh0WthatiftheJacobiofthe科mmetricequationLipschitzcontinuollsandnonsingulareve巧聊here，thenthePSBmethod丽七hthatlinesearchisgloballyandsuperlinearlycoⅡvlergentW色alsodosomen眦ericalex