ABSTRACT

The aim of this work is to offer necessary and sufficient conditions for the coincidence of the Drazin inverse and the DMP inverses of finite square complex matrices. This characterization is deduced from statements valid for finite potent endomorphisms and, in particular, several properties of matrices and generalized inverses are given.

中文翻译：

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关于Drazin逆和Drazin-Moore-Penrose逆的重合

摘要

这项工作的目的是为有限平方复矩阵的Drazin逆和DMP逆的重合提供必要和充分的条件。这种表征是从对有限有效内同态有效的陈述中得出的，尤其是给出了矩阵和广义逆的几种性质。