Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations
2014 ◽
Vol 2014
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pp. 1-8
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Keyword(s):
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 equationF(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.
Keyword(s):
2003 ◽
Vol 2003
(39)
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pp. 2487-2499
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2012 ◽
Vol 12
(1)
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pp. 32-45
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2020 ◽
Vol 20
(2)
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pp. 321-341
2010 ◽
Vol 15
(1)
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pp. 55-68
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2008 ◽
Vol 8
(1)
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pp. 86-98
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