Journal de mathématiques appliquées et computationnelles

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

Abstract

Linjun Wang and Youxiang Xie

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.