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Weak dual generalized inverse of a dual matrix and its applications [PDF]
Heliyon, 2023 Recently, the dual Moore-Penrose generalized inverse has been applied to study the linear dual equation when the dual Moore-Penrose generalized inverse of the coefficient matrix of the linear dual equation exists.
Hong Li, Hongxing Wang
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ACM SIGAPL APL Quote Quad, 1976 Rao (1962) suggested a method for calculating a generalized inverse of an arbitrary matrix and used the method to represent a solution to the set of normal equations obtained in the theory of least squares. This method is similar to that used for calculating the regular inverse of a non-singular matrix (namely, the sweep-out method) developed by Gauss.
D. C. Lezotte, J. J. Hubert
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Differentiable generalized inverses
Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences, 1968 John Z. Hearon, John Evans
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New characterizations of the generalized Moore-Penrose inverse of matrices
AIMS Mathematics, 2022 Some new characterizations of the generalized Moore-Penrose inverse are proposed using range, null space, several matrix equations and projectors. Several representations of the generalized Moore-Penrose inverse are given.
Yang Chen, Kezheng Zuo, Zhimei Fu
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Further representations and computations of the generalized Moore-Penrose inverse
AIMS Mathematics, 2023 The aim of this paper is to provide new representations and computations of the generalized Moore-Penrose inverse. Based on the Moore-Penrose inverse, group inverse, Bott-Duffin inverse and certain projections, some representations for the generalized ...
Kezheng Zuo, Yang Chen, Li Yuan
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On the generalized spectrum of bounded linear operators in Banach spaces
AIMS Mathematics, 2023 Utilizing the stability characterizations of generalized inverses, we investigate the generalized resolvent of linear operators in Banach spaces. We first prove that the local analyticity of the generalized resolvent is equivalent to the continuity and ...
Jue Feng , Xiaoli Li, Kaicheng Fu
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The dual index and dual core generalized inverse
Open Mathematics, 2023 In this article, we introduce the dual index and dual core generalized inverse (DCGI). By applying rank equation, generalized inverse, and matrix decomposition, we give several characterizations of the dual index when it is equal to 1. We realize that if
Wang Hongxing, Gao Ju
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On generalized inverse sum indeg index and energy of graphs
AIMS Mathematics, 2020 Topological indices are used to predict certain phsio-chemical properties of the chemical compounds. Among all indices, degree based indices are of vital importance.
Sumaira Hafeez, Rashid Farooq
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Entropy, 2021 In this article, we introduce a new three-parameter distribution called the extended inverse-Gompertz (EIGo) distribution. The implementation of three parameters provides a good reconstruction for some applications.
Ahmed Elshahhat +2 more
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The 𝔪-WG° inverse in the Minkowski space
Open Mathematics, 2023 In this article, we study the m{\mathfrak{m}}-WG∘{}^{\circ } inverse which presents a generalization of the m{\mathfrak{m}}-WG inverse in the Minkowski space. We first show the existence and the uniqueness of the generalized inverse.
Liu Xiaoji, Zhang Kaiyue, Jin Hongwei
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