Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (4): 485-494.

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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

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

CLC Number: 

  • 65J20
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