Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations

Joint Authors

Jidesh, P.
Argyros, Ioannis K.
George, Santhosh

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-17

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Argyros, Ioannis K.& George, Santhosh& Jidesh, P.. 2014. Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-496122

Modern Language Association (MLA)

Argyros, Ioannis K.…[et al.]. Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-496122

American Medical Association (AMA)

Argyros, Ioannis K.& George, Santhosh& Jidesh, P.. Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-496122

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-496122