论文标题
在有限有效的内态和任意正方形矩阵的G-德拉津逆上
On G-Drazin inverses of Finite Potent Endomorphisms and Arbitrary Square Matrices
论文作者
论文摘要
这项工作的目的是扩展有限的有效的内态性,即G-Drazin的概念有限正方形矩阵。因此,我们确定了有限有效的内态的G-德拉津逆的结构和特性,并且作为应用,我们提供了一种算法来计算有限方形矩阵的所有G- drazin倒置的显式表达。
The aim of this work is to extend to finite potent endomorphisms the notion of G-Drazin inverse of a finite square matrix. Accordingly, we determine the structure and the properties of a G-Drazin inverse of a finite potent endomorphism and, as an application, we offer an algorithm to compute the explicit expression of all G-Drazin inverses of a finite square matrix.