On a new generalized inverse for matrices of an arbitrary index
On a new generalized inverse for matrices of an arbitrary index
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DOI：
10.1016/j.amc.2013.10.060
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
S. Malik;N. Thome
中科院分区：
文献类型：
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作者：
S. Malik;N. Thome
本文的目的是引入一种新的广义逆，称为DMP逆，利用其Drazin逆和Moore-Penrose逆与平方复矩阵相关联。DMP逆将Baksalary和Trenkler在（Baksalary和Trenkler(2010)[1]）中对索引最多为1的矩阵引入的核心逆的概念扩展到任意索引的矩阵。从代数和几何两方面分析了DMP逆，建立了它们之间的等价性。
The purpose of this paper is to introduce a new generalized inverse, called DMP inverse, associated with a square complex matrix using its Drazin and Moore–Penrose inverses. DMP inverse extends the notion of core inverse, introduced by Baksalary and Trenkler for matrices of index at most 1 in (Baksalary and Trenkler (2010) [1]) to matrices of an arbitrary index. DMP inverses are analyzed from both algebraic as well as geometrical approaches establishing the equivalence between them.