inverse free iterative methods for nonlinear ill-posed operator equations
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ID: 245542
2014
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Abstract
We present a new iterative method which does not involve inversion of the operators for obtaining an approximate solution for the nonlinear
ill-posed operator equation F(x)=y. The proposed method is a modified form of Tikhonov gradient (TIGRA) method considered by Ramlau (2003). The regularization parameter is chosen according to the balancing principle considered by Pereverzev and Schock (2005). The error estimate is derived under a general source condition and is of optimal order. Some numerical examples involving integral equations are also given in this paper.
| Reference Key |
argyros2014internationalinverse
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|---|---|
| Authors | ;Ioannis K. Argyros;Santhosh George;P. Jidesh |
| Journal | structural engineering and mechanics |
| Year | 2014 |
| DOI |
10.1155/2014/754154
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| URL | |
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