Results 1 to 10 of about 181,408 (258)
Algebraic Perturbation Theorems of Core Inverse A㊮ and Core-EP Inverse A㊯
Journal of Mathematics, 2023 In this paper, the algebraic perturbation theorems of the core inverse A㊮ and core-EP inverse A㊯ are discussed for a square singular matrix A with different indices, and the expressions of the algebraic perturbation for these two new generalized inverses
Xingping Sheng
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Bordering method to compute Core-EP inverse
Special Matrices, 2018 Following the work of Kentaro Nomakuchi[10] and Manjunatha Prasad et.al., [7] which relate various generalized inverses of a given matrix with suitable bordering,we describe the explicit bordering required to obtain core-EP inverse, core-EP generalized ...
Prasad K. Manjunatha, Raj M. David
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Two Generalizations of the Core Inverse in Rings with Some Applications
Mathematics, 2023 In this paper, we introduce two new generalized core inverses, namely, the (p,q,m)-core inverse and the ⟨p,q,n⟩-core inverse; both extend the inverses of the ⟨i,m⟩-core inverse, the (j,m)-core inverse, the core inverse, the core-EP inverse and the DMP ...
San-Zhang Xu +3 more
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Determination of Core Losses Using an Inverse Modeling Technique
IEEE Access, 2022 This paper presents an inverse thermal modeling technique to determine the core losses from the temperature rise inside the transformer core. For this purpose, initially, a customized printed circuit board (PCB) with thermal sensors is used to measure ...
Osaruyi Osemwinyen +5 more
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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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The core inverse and constrained matrix approximation problem
Open Mathematics, 2020 In this article, we study the constrained matrix approximation problem in the Frobenius norm by using the core inverse:||Mx−b||F=minsubjecttox∈ℛ(M),||Mx-b|{|}_{F}=\hspace{.25em}\min \hspace{1em}\text{subject}\hspace{.25em}\text{to}\hspace{1em}x\in ...
Wang Hongxing, Zhang Xiaoyan
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T-BT Inverse and T-GC Partial Order via the T-Product
Axioms, 2023 In this paper, we extend the BT inverse to the set of third-order tensors, and we call it the T-BT inverse. We give characterizations and properties of the inverse by applying tensor decomposition. Based on the inverse, we introduce a new binary relation:
Hongxing Wang, Wei Wen
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Core-EP Monotonicity Characterizations for Property-n Matrices
Mathematics, 2023 A square matrix is said to have property n if there exists a positive integer w such that Aw is nonnegative. In this paper, we study the core-EP monotonicity for property-n matrices.
Jin Zhong, Lin Lin
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Determinantal Representations of the Weighted Core-EP, DMP, MPD, and CMP Inverses
Journal of Mathematics, 2020 In this paper, new notions of the weighted core-EP left inverse and the weighted MPD inverse which are dual to the weighted core-EP (right) inverse and the weighted DMP inverse, respectively, are introduced and represented.
Ivan I. Kyrchei
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Inverse stochastic–dynamic models for high-resolution Greenland ice core records [PDF]
Earth System Dynamics, 2017 Proxy records from Greenland ice cores have been studied for several decades, yet many open questions remain regarding the climate variability encoded therein.
N. Boers +10 more
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