$\mathfrak{m}$-WG 逆的性质和计算

Abstract

Abstract:

In this paper, the properties and computations of the $\mathfrak{m}$-WG inverse in Minskowski space are presented. Firstly, the characterization of the $\mathfrak{m}$-WG inverse is given by using the range and null space. Secondly, the relationship between the $\mathfrak{m}$-WG inverse and an invertible bordered matrix is given. Moreover, the perturbation bounds of the $\mathfrak{m}$-WG inverse is discussed. Finally, the successive matrix squaring algorithm is used to compute the $\mathfrak{m}$-WG inverse.

Key words: $\mathfrak{m}$-WG inverse, Bordered matrix, Perturbation bounds, Successive matrix squaring algorithm

CLC Number:

O151.2

Wei Huaquan, Wu Hui, Liu Xiaoji, Jin Hongwei. Properties and Computations of the $\mathfrak{m}$-WG Inverse[J].Acta mathematica scientia,Series A, 2024, 44(3): 547-562.

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References 37

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Properties and Computations of the $\mathfrak{m}$-WG Inverse

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