Some additive results on Drazin inverse

Some additive results on Drazin inverse

Some additive perturbation results for Drazin inverses are given. In particular, a formula is given for the Drazin inverse of a sum of two matrices, when one of the products of these matrices vanishes. Some special applications of this are also considered. © 2001 Elsevier Science Inc. All rights reserved. AMS classification: 15A09; 15A23

Some additive results on Drazin inverses

In this paper, some additive results on Drazin inverse of a sum of Drazin invertible elements are derived. Some converse results are also presented.

Ela Some Additive Results for the Generalized Drazin Inverse in a Banach Algebra

In this note, additive results are presented for the generalized Drazin inverse in Banach algebra. Necessary and sufficient conditions are given for the generalized Drazin invertibility of the sum of two commuting generalized Drazin invertible elements. These results are a generalization of the results from the paper [C.Y. Deng and Y. Wei. New additive results for the generalized Drazin inverse...

Some additive results for the generalized Drazin inverse in a Banach algebra

Some results about the index of matrix and Drazin inverse

In this paper , some results about the index of matrix and Drazin inverse are given. We then explain applications of them in solving singular linear system of equations.