Year: 1999
Author: Guo-Qiang He, Lin-Xian Liu
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 3 : pp. 275–284
Abstract
In this paper we propose a kind of implicit iterative methods for solving ill-posed operator equations and discuss the properties of the methods in the case that the control parameter is fixed. The theoretical results show that the new methods have certain important features and can overcome some disadvantages of Tikhonov-type regularization and explicit iterative methods. Numerical examples are also given in the paper, which coincide well with theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9101
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 3 : pp. 275–284
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Ill-posed equation Implicit iterative method Control parameter Discrepamcy principle Optimal convergence rate.