MP弱Core逆的性质和应用

Abstract

Abstract:

In this paper, the concept of the Moore-Penrose weak Core inverse (MPWC inverse) is proposed based on the Moore-Penrose inverse and the weak Core inverse. It is described from algebraic and geometric perspectives respectively. The relationship between the MP weak Core inverse and the nonsingular bordered matrix is given. The expression of the MP weak Core inverse is given by using the Hartwig-Spindelböck decomposition and the Core-EP decomposition. The equivalence between the MP weak Core inverse of a matrix and EP matrix, the characterization and the perturbation analysis are given.

Key words: Weak Core inverse, Moore-Penrose inverse, MPWC inverse, Core-EP decomposition

CLC Number:

O151

Xiaoji Liu,Mengyue Liao,Hongwei Jin. The Properties and Applications of the MP Weak Core Inverse[J].Acta mathematica scientia,Series A, 2022, 42(6): 1619-1632.

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The Properties and Applications of the MP Weak Core Inverse

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