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求解不可导方程的修正牛顿迭代及其在Banach空间中的收敛性 被引量：3

On a modified Newton's method and convergence in Banach space
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摘要 为了解决不可导方程的求根问题以及在实际应用方面的考虑,在韩丹夫一文收敛条件的基础上,提出了用修正的牛顿方法来解决不可导方程的求根问题,并且用优序列方法给出了收敛性理论,由于方程本身的限制,所得到的结果是线性收敛的. In order to solve the nondifferentiable equations and to consider the application, the deformed Newtons's method is given to solve nondifferentiable equations and to establish convergence theorems using majorant method in the base of convergence conditions of HAN Danfu. Because of the constraint of the equations themselves, the conclusion has linear convergence.
作者 蒋冬冬 沈硕 倪伟才
机构地区 浙江大学数学系
出处 《浙江大学学报（理学版）》 CAS CSCD 2003年第3期256-259,共4页 Journal of Zhejiang University（Science Edition）
关键词 不可导方程 修正牛顿迭代法 解 BANACH空间 收敛性 优序列方法 不可导算子 deformed Newton's method nondifferentiable operator majorant method Banach space
分类号 O242.23 [理学—计算数学]
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共引文献23

同被引文献26

  • 1ULBRICH M. Semismooth Newton methods for operator equations in function spaces[J]. SIAM Journal on Optimizations, 2003, 13(3) :805 - 842.
  • 2KANTOROVICH L V, AKILOV G P. Functional Analysis [M], Oxford: Pergamon Press, 1982.
  • 3PANAGIOTOPOULOUS P D. Inequality Problems in Mechanics and Applications-convex and Nonconvex Energy Functions[ M]. Birkhauser: Boston- Based- Stuttgart, 1985.
  • 4FERRIS M C, PANG J S. Engineering and economic applications of complementarity problem [J]. SIAM Review, 1997,39(8) :669 - 713.
  • 5ARGYROS I K. A convergence theorem for Newton-like methods under generalized Chen- Yamamoto type assumptions[J ]. Applied Mathematics and Computation, 1994,61(1) .25 - 37.
  • 6ARGYROS I K. A local convergence analysis and applications of Newton' s method under weak assumptions [J]. Southwest Journal of Pure and Applied Mathematics, 2003, 14(1) : 82- 87.
  • 7HAN D F. The majorant method and convergence for solving nondifferentlable equations in Banach space[J]. Applied Mathematics and Computation, 2001, 118 (1): 73-82.
  • 8LIU J, GAO Y. Inexact-Newton method for solving operator equations in infinite dimensional spaces [J ]. Journal of Applied Mathematics and Computing, 2006, 22(3) :351 - 360.
  • 9HUANG Z D. Newton method under Lipschitz continuous derivative in Banach space[J ]. Applied Mathemat- ics and Computing, 2003, 140(1) :115 - 126.
  • 10ARGYROS I K. A unifying theorem on Newton's method in a Banach space with a convergence structure under weak assumptions[J]. Southwest Journal of Pure and Applied Mathematics, 2003, 14(1) : 56- 65.

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浙江大学学报（理学版）
2003年 第3期

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