The analysis study on nonlinear iterative methods for inverse problems

Abstract

In this paper, the nonlinear iterative methods, which are different from the classical algorithms, to solve inverse problems are presented. Our methods by denoting some parameters and some properties of the algorithm in both noise and noiseless cases are studied. Finally, the convergence of the sequence generated by the algorithm without noise is discussed.

Keywords:

• Inverse problems
• nonlinear iteration
• convergence

AMS Subject Classifications:

• 65M32
• 68w25

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This project is supported by the National Natural Science Foundation of China [grant number 61271398]; K. C. Wong Magna Fund in Ningbo University.