Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations | Zendy

Ioannis K. Argyros | Zendy; Santhosh George | Zendy; P. Jidesh | Zendy

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Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations

Author(s) -

Ioannis K. Argyros,

Santhosh George,

P. Jidesh

Publication year - 2014

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2014/754154

Subject(s) - tikhonov regularization , regularization (linguistics) , nonlinear system , algorithm , inverse problem , mathematics , operator (biology) , inverse , iterative method , computer science , mathematical analysis , physics , artificial intelligence , chemistry , geometry , transcription factor , gene , biochemistry , quantum mechanics , repressor

We present a new iterative method which does not involve inversion of the operators for obtaining an approximate solution for the nonlinearill-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

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