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The dual index and dual core generalized inverse [PDF]
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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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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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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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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Generalized Inverse Classification [PDF]
SDM, 2017 Accepted to SDM 2017.
W. Nick Street +4 more
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On the generalized inverse Weibull distribution [PDF]
AIP Conference Proceedings, 2019 A new class of continuous distributions based on generalized inverse Weibull has been introduced. As a special case, generalized inverse Weibull - generalized inverse Weibull distribution is proposed. The probability density function, cumulative distribution function, reliability and hazard rate functions are introduced.
Abid, Salah Hamza +2 more
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A generalized inverse for graphs with absorption [PDF]
Linear Algebra and its Applications, 2018 We consider weighted, directed graphs with a notion of absorption on the vertices, related to absorbing random walks on graphs. We define a generalized inverse of the graph Laplacian, called the absorption inverse, that reflects both the graph structure as well as the absorption rates on the vertices.
Joseph H. Tien, Karly A. Jacobsen
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Right core inverse and the related generalized inverses [PDF]
Communications in Algebra, 2019 19 ...
Long Wang, Dijana Mosić, Yuefeng Gao
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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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