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互补问题中Gauss-Newton方法全局收敛性的推广(英文)

An improvement on a global convergence of Gauss-Newton methods for the complementarity problem
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摘要 研究了由Subramamian为求解互补问题提出的阻尼Gauss_Newton方法的收敛性质 ,在较弱的条件下 ,给出了一个全局收敛结果 ,这个结果是SubramanianPK(1993)和 (1997)中相应结果的一个推广 . The authors study the convergence properties of the damped Gauss-Newton algorithm which was originally proposed by Subramamian for the complementarity problem. The aim of this paper is to give a global convergence result under conditions weaker than those in the literature. The result here has improved and generalized those of Subramanian P K(1993 and 1997).
作者 王长钰 屈彪
出处 《曲阜师范大学学报(自然科学版)》 CAS 2002年第2期1-5,共5页 Journal of Qufu Normal University(Natural Science)
基金 theNationalNaturalScienceFoundationofChina( 10 1710 5 5 )
关键词 互补问题 Gauss-Newton算法 非线性方程组 全局收敛 complementarity problem Gauss-Newton algorithm nonlinear systems of equation global convergence
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参考文献4

  • 1P. K. Subramanian,N. H. Xiu. Convergence Analysis of Gauss–Newton Methods for the Complementarity Problem[J] 1997,Journal of Optimization Theory and Applications(3):727~738
  • 2P. K. Subramanian. Gauss-Newton methods for the complementarity problem[J] 1993,Journal of Optimization Theory and Applications(3):467~482
  • 3Liqun Qi,Jie Sun. A nonsmooth version of Newton’s method[J] 1993,Mathematical Programming(1-3):353~367
  • 4Patrick T. Harker,Jong-Shi Pang. Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications[J] 1990,Mathematical Programming(1-3):161~220

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