ITERATED

作品数：137被引量：159H指数：7
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A FAST CONVERGENT METHOD OF ITERATED REGULARIZATION
《Acta Mathematica Scientia》2009年第2期341-348,共8页黄小为 吴传生 吴笛 
This article presents a fast convergent method of iterated regularization based on the idea of Landweber iterated regularization, and a method for a-posteriori choice by the Morozov discrepancy principle and the optim...
关键词：Ill-posed problems iterated regularization Morozov discrepancy principle 
Iterative implementation of the adaptive regularization yields optimality被引量：1
《Science China Mathematics》2005年第4期485-492,共8页MA Qinghua & WANG Yanfei Department of Information Sciences, College of Arts and Science of Beijing Union University, Beijing 100038, China National Key Laboratory on Remote Sensing Science, Institute of Remote Sensing Applications, Chinese Academy of Sciences, Beijing 100101, China Department of Mathematics, University of Central Florida, P. O. Box 161364, Orlando, FL 32816-1364, USA 
This work was supported by the research program of College of Arts and Science of Beijing Union University and SRF for ROCS,SEM.
The adaptive regularization method is first proposed by Ryzhikov et al. for the deconvolution in elimination of multiples. This method is stronger than the Tikhonov regularization in the sense that itis adaptive, i.e....
关键词：ILL-POSED problems  NON-STATIONARY ITERATED adaptive regularization  optimality. 
The Iterated Regularization With Perturbed Operators and Noisy Data被引量：3
《Science China Mathematics》1994年第12期1409-1417,共9页陈宏 侯宗义 
Project supported by the National Natural Science Foundation of China.
The method of iterated Tikhonov regularization with perturbed operators and noisy data for solving operators equations of the first kind is investigated. The rates of convergence of regularization approximation are ac...
关键词：ITERATED Tikhonov REGULARIZATION the first KIND of OPERATOR equation Arcangeli’s principles rates of convergence. 
A Kind of a Posteriori Parameter Choices for the Iterated Tikhonov Regularization Method
《Chinese Science Bulletin》1993年第5期356-360,共5页贺国强 
Let X and Y be real Hilbert spaces and A: X→Y be a bounded linear operator with nonclosed range R(A). If y∈ D(A^+)=R(A)+R(A)~⊥, there exists a unique Moore-Penrose generalized solution to the equation Ax=y. In prac...
关键词：ILL-POSED problem REGULARIZATION method a POSTERIORI parameter choice. 
REGULARIZATION THEOREM OF SINGULAR INTEGRAL EQUATIONS ON CHARACTERISTIC MANIFOLD
《Chinese Science Bulletin》1981年第7期667-668,共2页钟同德 
This letter deals with the regularization problem of the singular integral equations on characteristic manifold mainly by the transformation formula and the estimate formulae of singular integrals obtained previously.
关键词：REGULARIZATION MANIFOLD SINGULAR FORMULAE deals LETTER kernel ITERATED 日丽 一初 
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