A New Conjugate Gradient Method for the Solution of Linear Ill-Posed Problem | OMICS International | Abstract
ISSN: 2168-9679

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## A New Conjugate Gradient Method for the Solution of Linear Ill-Posed Problem

Linjun Wang1* and Youxiang Xie2

1College of Mechanical and Material Engineering, China Three Gorges University, Yichang, Hubei 443002, P. R. China

2College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, P. R. China

*Corresponding Author:
Linjun Wang
College of Mechanical and Material Engineering
China Three Gorges University, Yichang, Hubei 443002, P. R. China
E-mail: [email protected]

Received Date: March 05, 2012; Accepted Date: March 14, 2012; Published Date: March 18, 2012

Citation: Wang L, Xie Y (2012) A New Conjugate Gradient Method for the Solution of Linear Ill-Posed Problem. J Appl Computat Math 1:108. doi: 10.4172/2168-9679.1000108

Copyright: ©2012 Wang L, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

### Abstract

A new conjugate gradient method is proposed for solving the linear ill-posed problem and the application to the identification of the multi-source dynamic loads on a surface of simply supported plate. The algorithm considered here is detailedly given and proved that the computational costs for the present method are nearly the same as the common conjugate gradient method, but the number of iteration steps is even less. Finally, the performances of numerical simulations are given, and verify the favorable theoretical properties of the present method.

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