第一类Fredholm积分方程的互补解法  

SOLVING THE FREDHOLM INTEGRAL EQUATION OF THE FIRST KIND BY THE COMPLEMENTARITY METHOD

作　　者：房喜明 林福荣[2] Fang Ximing;Lin Furong(School of Mathematics and Statistics,Zhaoqing University,Zhaoqing 526061;Department of Mathematics,Shantou University,Shantou 515063)

机构地区：[1]肇庆学院数学与统计学院,肇庆526061 [2]汕头大学数学系,汕头515063

出　　处：《高等学校计算数学学报》2019年第4期289-301,共13页Numerical Mathematics A Journal of Chinese Universities

基　　金：肇庆学院博士启动项目:611-612279.

摘　　要：Transform Fredholm integral equation of the first kind into a minimization problem by introducing a regularization term and imposing certain constrains to make the numerical solution more accurate.Then transform the constrained minimization problem into a complementarity problem(C P)and apply projection methods to solve the C P.Examples of signal restoration are presented to illustrate the effectiveness of the proposed method.

关 键 词：Fredholm integral equation of the first kind ill-posed problem regularization method signal restoration complementarity method. 

分 类 号：O24[理学—计算数学]