Average optimization of the approximate solution of operator equations and its application

作     者：王兴华 马万 

作者机构：Department of Mathematics Zhejiang University Hangzhou China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2002年第45卷第8期

页      面：1076-1079页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：This work was supported by the Special Funds for Major State Basic Research Projects (Grant No. G19990328) the Zhejiang Provincial Natural Science Foundation (Grant No. 100002) 

主　　题：Gaussian measure, integral n-width, optimization, operator equations. 

摘      要：In this paper, a definition of the optimization of operator equations in the average case setting is given. And the general result (Theorem 1) about the relevant optimization problem is obtained. This result is applied to the optimization of approximate solution of some classes of integral equations.