数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (4): 485-494.

• 论文 • 上一篇    下一篇

IMPLICIT ITERATIVE METHODS WITH VARIABLE ONTROL PARAMETERS FOR ILL-POSED PERATOR EQUATIONS

 贺国强, 王新革, 刘林先   

  1. Department of Mathematics, Shanghai University, shanghai 200436, China
  • 收稿日期:1999-05-17 出版日期:2000-06-15 发布日期:2000-06-15
  • 基金资助:

    This work was supported by the National Natural Science Foundation of China

IMPLICIT ITERATIVE METHODS WITH VARIABLE ONTROL PARAMETERS FOR ILL-POSED PERATOR EQUATIONS

 HE Guo-Jiang, WANG Xin-Ge, LIU Lin-Xian   

  1. Department of Mathematics, Shanghai University, shanghai 200436, China
  • Received:1999-05-17 Online:2000-06-15 Published:2000-06-15
  • Supported by:

    This work was supported by the National Natural Science Foundation of China

摘要:

This paper discusses a kind of implicit iterative methods with some variable
parameters, which are called control parameters, for solving ill-posed operator equations.
The theoretical results show that the new methods always lead to optimal convergence
rates and have some other important features, especially the methods can be implemented
parallelly.

关键词: Ill-posed problems, implicit iterative methods, variable control parameters,
parallel algorithm

Abstract:

This paper discusses a kind of implicit iterative methods with some variable
parameters, which are called control parameters, for solving ill-posed operator equations.
The theoretical results show that the new methods always lead to optimal convergence
rates and have some other important features, especially the methods can be implemented
parallelly.

Key words: Ill-posed problems, implicit iterative methods, variable control parameters,
parallel algorithm

中图分类号: 

  • 65J20