THE PERTURBATION THEORY FOR THE DRAZIN INVERSE AND ITS APPLICATIONS

作     者：王国荣 魏益民 

作者机构：Department of MathematicsShanghai Normal Universi 200234PRC Institute of MathematicsFudan UniversityShangha 

出 版 物：《Numerical Mathematics A Journal of Chinese Universities(English Series)》 (高等学校计算数学学报(英文版))

年 卷 期：1996年第5卷第1期

页      面：118-120页

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

基　　金：This project is supported by National Natural Science Foundation of China 

主　　题：Drazin inverse perturbation bound index singular equations. 

摘      要：Let A and E be an n×n matrices and B=A+E. Denote the Drazin inverse of A by AD In this paper, we give an upper bound for the relative error ||BD-AD||/||AD|| under certain circumstances. The error bound of the solution for singular equations Ax=b[Ind (A)=k,b∈R(Ak)] are also considered.