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文章基本信息

  • 标题:Fast Solution of General Nonlinear Fixed Point Problems
  • 作者:Roberto L. V. González ; Mabel M. Tidball
  • 期刊名称:Mecánica Computacional
  • 印刷版ISSN:2591-3522
  • 出版年度:1991
  • 卷号:10
  • 期号:1
  • 页码:71-86
  • 语种:English
  • 出版社:CIMEC-INTEC-CONICET-UNL
  • 其他摘要:In this paper, we develope a general procedure to stabilize the usual Newton method in such a way that algorithms obtained always converge to the unique solution of the problem. The algorthms have two fields of successful application: the case where the operator T Є C1 ∩ H2,∞ and the case where T is polyhedric. In the first case, quadratic convergence is proved; in the second one convergence in a finite number of steps is obtained. Numerical results are shown for an example issued from the field of differential games.
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