A parameter choice strategy for the regularized approximation of Fredholm integral equations of the first kind

Recently, Rajan [A Modified convergence analyis for solving Fredholm integral equations of the first kind, Integral Equ. Oper. Theory, 49 (2004), pp. 511-516.] suggested a modified convergence analysis for solving Fredholm integral equations of the first kind and also considered an a priori paramete...

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Bibliographic Details
Published in:International journal of computer mathematics 2010-09, Vol.87 (11), p.2612-2622
Main Author: Rajan, M. P.
Format: Article
Language:English
Subjects:
Approximation
Computer simulation
Convergence
discrepancy principles
Hilbert space
ill-posed problems
Integral equations
Integrals
Mathematical analysis
Mathematical models
Regularization
Strategy
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Summary:Recently, Rajan [A Modified convergence analyis for solving Fredholm integral equations of the first kind, Integral Equ. Oper. Theory, 49 (2004), pp. 511-516.] suggested a modified convergence analysis for solving Fredholm integral equations of the first kind and also considered an a priori parameter choice strategy of choosing the regularization parameter. In this article, as an a posteriori parameter choice strategy for choosing the regularization parameter, a class of discrepancy principle is proposed under the Hilbert space setting and is illustrated numerically.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160802700305