| The Embedding Method for Nonsmooth Equations |
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| 作者姓名： | 张建军 王德人 |
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| 摘 要： | 1IntroductionTherehavebeenmailystudiesonnonsllloothequatiollsl"'"]F(x)=0,FiD=R"-R",((l.l)butfewauthorsusedembedding1lletllodtosolve'theequations(1.l).In1990,S.M.RobinsonstudiedthenonsnlootllembeddingmethodforaclassofBdifferentiableequationsill51.WhenFiss…
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| 收稿时间： | 18 September 1997 |
The embedding method for nonsmooth equations |
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| Jianjun Zhang,Deren Wang.The Embedding Method for Nonsmooth Equations[J].Journal of Shanghai University(English Edition),1997,1(3):184-190. |
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| Authors: | Jianjun Zhang Deren Wang |
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| Institution: | College of Sciences |
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| Abstract: | In this paper. we present a class of' embedding methods for nonsmooth equations. Under suitable conditions, we Prove that there exists a homotopy solution curve, which is Unique and continuous. We also prove that the solution curve is singlcvalue-d with respect to the homotopy parameter. Then we construct all efficient algorithm for this class of equations and prove its convcrgcnce. Filially, we apply the algorithm to the nonlinear complementarity problem. The numerical results show that tile algorithm is satisfacotry. |
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| Keywords: | nonsmooth equations embedding method nonlinear complementarity problem Newton method |
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