论文信息 - The perturbation theory for the Drazin inverse and its applications

The perturbation theory for the Drazin inverse and its applications

Abstract Let A and E be n × n matrices and B = A + E. Denote the Drazin inverse of A by AD. We give an upper bound for the relative error ∥B D − A D ∥ ∥A D ∥ under certain circumstances. An error bound for the solution for the singular equations Ax = b [b ∈ R(A)] is also considered.

Wei Yimin | W. Guorong | Wang Guorong | Wei Yimin

[1] G. Stewart. On the Continuity of the Generalized Inverse , 1969 .

[2] Stephen L. Campbell. Continuity of The Drazin inverse , 1980 .

[3] Guo-rong Wang. A Cramer rule for finding the solution of a class of singular equations , 1989 .

[4] Stephen L. Campbell. On continuity of the Moore-Penrose and Drazin generalized inverses , 1977 .

[5] Guang-Hao Rong. The error bound of the perturbation of the Drazin inverse , 1982 .

[6] C. D. Meyer,et al. Continuity properties of the Drazin pseudoinverse , 1975 .

[7] Adi Ben-Israel,et al. On Error Bounds for Generalized Inverses , 1966 .