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Newton分裂方法的存在性收敛性定理 被引量:2

The Existence and Convergence Theorem for Newton Type Decomposition Methods
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摘要 本文在Kantorovich型定理的条件下,给出了两种Newton型分裂方法的存在性及收敛性定理。 In this paper, the existence and convergence theorem for Newton-type decomposition methods are given.
机构地区 哈尔滨电工学院
出处 《哈尔滨电工学院学报》 CSCD 1996年第3期387-395,共9页
关键词 NEWTON 分裂法 收敛性定理 计算数学 Newton-type decomposition method, existence, theorem of convergence
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  • 1李福祥,潘状元.加速迭代格式的构造[J].哈尔滨理工大学学报,2006,11(3):52-54. 被引量:1
  • 2WOLFE M A.An Existence-convergence Theorem for a Class of Iterative Methods[J].Journal of Optimization Theory and Applications,1980,31(1):125-129.
  • 3PENBG Jian-wen.The Existence and Uniqueness of Solution and the Convergence of a Multi-step Iterxative Algorithm for a System of Variational Inclusions with(A,η,m)-accretive Operators[J].Journal of Global Optimization,2007,39(3):441-457.
  • 4DEUFLHARD Peter.Newton Methods for Nonlinear Problems Affine Invariance and Adaptive Algorithms[M].北京:科学出版社,2006:45-56.
  • 5HOYER W,SCHMIDT J W.Newton-type Decomposition Methods for Equations Arising in Networkanalysis[J].Z.Angew.Math.Mech.,1984,64(2):397-405.
  • 6JOCHEN W,HOYER Wolfgang,HAVFE Christian.Consistent Approximations in Newton-type Decomposition Methods[J].Numer.Math.,1985,47(3):413-425.
  • 7冯国忱.非线性方程组迭代解法[M].上海:上海科学技术出版社,1989:115-118.
  • 8IOANNIS K A.Local Convergence Theorms for Newton Methods[J].Journal ofApplied Mathematics and Computing,2001,8(2):253-268.
  • 9YAKOVLEV M N.A Convergence Theorem for the Newton method[J].Journal of Mthematical Sciences,2000,101(4):3372-3375.
  • 10HOYER W, SCHMIDT J W. Newton-type Decomposition Methods for Equations Arising in Network Analysis [ J ]. Z. Angew. Math. Mech. ,1984, 64 (2) :397 -405.

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