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Title 

An effective method for solving nonlinear equations and its application

Authors 

D YiB ChoiEun-Youn Kim

Publisher 

Elsevier

Issue Date 

2013

Citation 

Applied Mathematics and Computation, vol. 220, no. 0, pp. 568-579

Keywords 

DecompositionDualityFunctional minimizationPartial differential equationRichardson's methodTotal variation --------------------------------------------------------------------------------

Abstract 

The linearized partial differential equation from the nonlinear partial differential equation which was proposed by Rudin, Osher and Fatemi [L. I. Rudin, S. Osher and E. Fatemi, Nonlinear total variation based noise removal algorithms] for solving image decomposition was introduced by Chambolle [A. Chambolle, An algorithm for total variation minimization and applications] and R. Acar and C.R. Vogel [R. Acar and C. R. Vogel, Analysis of bounded variation penalty methods for ill-posed problems]. In this paper, we propose a method for solving the linearized partial differential equation and we show numerical results for denoising which demonstrate a significant improvement over other previous works.

ISSN 

0096-3003

Link 

http://dx.doi.org/10.1016/j.amc.2013.05.070

Appears in Collections

1. Journal Articles > Journal Articles

Registered Date

2019-05-02


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