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修正的差异原则于线性不适定问题的Landweber迭代的应用(英) 被引量:1

Application of the Modified Discrepancy Principle to Landweber Iteration for Linear Ⅲ-posed Problems
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摘要 研究了Landweber迭代的有限维逼近,基于差异原则的修正,提出了一种停止规则以选择迭代的终止指数.揭示出此规则的严格论述,并得出了收敛性和收敛速度.另给出几个数值例子以阐明此规则的适用性. In this paper finite-dimensional approximation of Landweber iteration is studied and a stopping rule based on modifying the discrepancy principle is proposed to choose the termination index of iteration. The rigorous study on our rule is presented and the convergence and rates of convergence are obtained. Numerical examples are given to illustrate the applicability of our rule.
机构地区 复旦大学数学系
出处 《复旦学报(自然科学版)》 CAS CSCD 北大核心 1998年第5期635-643,共9页 Journal of Fudan University:Natural Science
关键词 线性不适定问题 Landweber迭代 停止规则 :linear ill-posed problems Landweber iteration stopping rule
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参考文献2

  • 1Martin Hanke. Accelerated Landweber iterations for the solution of ill-posed equations[J] 1991,Numerische Mathematik(1):341~373
  • 2R. Plato,G. Vainikko. On the regularization of projection methods for solving III-posed problems[J] 1990,Numerische Mathematik(1):63~79

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