REGULARIZATION METHOD FOR IMPROVING OPTIMAL CONVERGENCE RATE OF THE REGULARIZED SOLUTION OF ILL-POSED PROBLEMS

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (2): 177-185.

REGULARIZATION METHOD FOR IMPROVING OPTIMAL CONVERGENCE RATE OF THE REGULARIZED SOLUTION OF ILL-POSED PROBLEMS

侯宗义, 杨宏奇

Department of Mathematics, Fudan University, Shanghai 200433, China

收稿日期:1996-04-02 出版日期:1998-06-25 发布日期:1998-06-25
基金资助:
This work was supported by the National Natural Science Foundation

REGULARIZATION METHOD FOR IMPROVING OPTIMAL CONVERGENCE RATE OF THE REGULARIZED SOLUTION OF ILL-POSED PROBLEMS

Hou Zongyi, Yang Hongqi

Department of Mathematics, Fudan University, Shanghai 200433, China

Received:1996-04-02 Online:1998-06-25 Published:1998-06-25
Supported by:
This work was supported by the National Natural Science Foundation

摘要/Abstract

摘要： This paper presents a new regularization method for solving operator equations of the first kind, the convergence rate of the regularized solution is improved, as compared with the ordinary Tikhonov regularization.

关键词: Operator equation of the first kind, regularization method, convergence, convergence rate of the regularized solution

Abstract: This paper presents a new regularization method for solving operator equations of the first kind, the convergence rate of the regularized solution is improved, as compared with the ordinary Tikhonov regularization.

Key words: Operator equation of the first kind, regularization method, convergence, convergence rate of the regularized solution

侯宗义, 杨宏奇. REGULARIZATION METHOD FOR IMPROVING OPTIMAL CONVERGENCE RATE OF THE REGULARIZED SOLUTION OF ILL-POSED PROBLEMS[J]. 数学物理学报(英文版), 1998, 18(2): 177-185.

Hou Zongyi, Yang Hongqi. REGULARIZATION METHOD FOR IMPROVING OPTIMAL CONVERGENCE RATE OF THE REGULARIZED SOLUTION OF ILL-POSED PROBLEMS[J]. Acta mathematica scientia,Series B, 1998, 18(2): 177-185.

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REGULARIZATION METHOD FOR IMPROVING OPTIMAL CONVERGENCE RATE OF THE REGULARIZED SOLUTION OF ILL-POSED PROBLEMS

REGULARIZATION METHOD FOR IMPROVING OPTIMAL CONVERGENCE RATE OF THE REGULARIZED SOLUTION OF ILL-POSED PROBLEMS

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