On a new generalized inverse for matrices of an arbitrary index

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• 作者：Saroj B. Malik ; N茅stor Thome
• 关键词：Moore&ndash ; Penrose inverse ; Drazin inverse ; Index ; Core inverse
• 刊名：Applied Mathematics and Computation
• 出版年：1 January, 2014
• 年：2014
• 卷：226
• 期：Complete
• 页码：575-580
• 全文大小：282 K

文摘

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.