求线性不适定方程L-广义解的隐式迭代法  

An Implicit Iterative Method for L-Generalized Solution of Linear Ill-Posed Equations

作　　者：贺国强 王新革 

出　　处：《上海大学学报（自然科学版）》1999年第3期189-193,共5页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金!资助项目 ( 196710 5 0)

摘　　要：本文首先指出可以把求不适定算子方程的 L-广义解归结为求另一个方程的 Moore-Penrose广义解 ,然后把隐式迭代法推广应用于求 L -广义解 .文中还考虑了离散方法 ,给出了数值例子 ,最后用例子说明了确定 LWe first point out that the L generalized solution of a linear ill posed equation can be reduced to the Moore Penrose generalized solution of another ill posed equation, and thus may apply the implicit iterative method to finding L generalized solution. A discretization method is discussed in the paper and numerical examples are also given. Finally, the authors indicate by an example how to determine the smoothness level of a L generalized solution.

关 键 词：不适定算子方程 隐式迭代法 L-广义解 光滑程度 

分 类 号：O177.6[理学—数学] O241.83[理学—基础数学]