Convergence of a Tikhonov Gradient Type-Method for Nonlinear Ill-Posed Equations

被引：0

作者：

George S. ^{[1
]}

Shubha V.S. ^{[1
]}

Jidesh P. ^{[1
]}

机构：

[1] Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Mangaluru

来源：

International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / Suppl 1期

关键词：

Adaptive method; Ill-posed equations; Iterative method; Tikhonov regularization;

D O I：

10.1007/s40819-017-0411-8

中图分类号：

学科分类号：

摘要：

In this study Tikhonov Gradient type-method is considered for nonlinear ill-posed operator equations. In our convergence analysis, we use hypotheses only on the first Frec̀het derivative of F in contrast to the higher order Frec̀het derivatives used in the earlier studies. We obtained ‘optimal’ order error estimate by choosing the regularization parameter according to the adaptive method proposed by Pereverzev and Schock (SIAM J Numer Anal 43(5):2060–2076, 2005). © 2017, Springer (India) Private Ltd.

引用

页码：1205 / 1215

页数：10

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