INFORMATION CHANGE THE WORLD

International Journal of Information Technology and Computer Science(IJITCS)

ISSN: 2074-9007 (Print), ISSN: 2074-9015 (Online)

Published By: MECS Press

IJITCS Vol.3, No.4, Aug. 2011

Numerical Implementation of Nonlinear Implicit Iterative Method for Solving Ill-posed Problems

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Author(s)

Jianjun Liu,Zhe Wang,Guoqiang He,Chuangang Kang

Index Terms

Nonlinear, gradient method, regularization, implicit iterative

Abstract

Many nonlinear regularization methods may converge to local minima in numerical implementation for the complexity of nonlinear operator. Under some not very strict assumptions, we implement our proposed nonlinear implicit iterative method and have a global convergence results. Using the convexity property of the modified Tikhonov functional, it combines nonlinear implicit iterative method with a gradient method for solving ill-posed problems. Finally we present two numerical results for integral equation and parameter identification.

Cite This Paper

Jianjun Liu, Zhe Wang, Guoqiang He, Chuangang Kang, "Numerical Implementation of Nonlinear Implicit Iterative Method for Solving Ill-posed Problems", International Journal of Information Technology and Computer Science(IJITCS), vol.3, no.4, pp.9-15, 2011. DOI: 10.5815/ijitcs.2011.04.02

Reference

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