An effective method for solving nonlinear equations and its application

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Title
An effective method for solving nonlinear equations and its application
Author(s)
D Yi; B Choi; Eun-Youn Kim
Bibliographic Citation
Applied Mathematics and Computation, vol. 220, pp. 568-579
Publication Year
2013
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.
Keyword
DecompositionDualityFunctional minimizationPartial differential equationRichardson's methodTotal variation
ISSN
0096-3003
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.amc.2013.05.070
Type
Article
Appears in Collections:
1. Journal Articles > Journal Articles
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