Finite-Dimensional Approximation of Modified Laverentiv Method for Nonlinear Ill-posed Operators


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Authors

  • D. Pradeep Department of Mathematics, Rajiv Gandhi Institute of Technology, Kottayam, Kerala, India

Keywords:

Nonlinear Ill-posed Problems, Regularization, Iterative Method, Parameter Choice Rule

Abstract

In [7], the authors have suggested a modified iterative Laverentiv method for solving nonlinear ill-posed equations involving monotone operators. In this paper, we propose the finite-dimensional approximation of the scheme considered in [7]. We have shown the regularization parameter and the error estimates are optimal order. Finally, we also present some numerical results to verify the theoretical estimates.

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Published

15-12-2020

How to Cite

D. Pradeep. (2020). Finite-Dimensional Approximation of Modified Laverentiv Method for Nonlinear Ill-posed Operators. International Journal of Mathematics And Its Applications, 8(4), 1–11. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/111

Issue

Vol. 8 No. 4 (2020)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.