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Core-ep inverse

WebAbstract. 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 inverse. The main result of the paper also leads to provide a characterization of ... WebMay 19, 2024 · DMP inverse extends the notion of core inverse, introduced by O.M. Baksalary and G. Trenkler for matrices of index at most 1 in [Core inverse of matrices, Linear and Multilinear Algebra, 2010, 681 ...

Core–EP inverses in Banach algebras Request PDF

WebNov 25, 2024 · More details of the core-EP inverse and its applications can be seen in [ 3, 4, 7, 10, 11, 15 ]. In this paper, we introduce a generalization of the { {\mathfrak {m}}} -core inverse for square matrices of an arbitrary index. We also give some of its characterizations, properties and applications. The m-Core-EP Inverse in Minkowski Space WebMar 1, 2024 · Some characterizations, representations and properties of the core and core-EP inverses are investigated. The results are verified using specific algebraic approach, based on proposed... equity residential executive team https://joaodalessandro.com

Revisiting the core EP inverse and its extension to rectangular ...

WebThe m-core-EP inverse in Minkowski space Preprint Full-text available Nov 2024 Hongxing Wang Hui Wu Xiaoji Liu In this paper, we introduce the m-core-EP inverse in Minkowski space, consider its... WebJun 22, 2024 · Abstract In this paper, we investigate the theory of the core-EP inverse of third-order tensors via the T-product (called T-core-EP inverse). A new decomposition called T-core-EP... WebNov 5, 2024 · Here, the computation of time-varying core and core-EP inverse is emphasized. Specifically, three types of CVPZNN models for computing the core-EP and core inverse of a time-varying complex matrix are established. (2) The upper bounds of finite time convergence of the proposed CVPZNNATS2 with Li and tunable activation … equity residential longfellow

Mathematics Free Full-Text Two Generalizations of the Core Inverse ...

Category:Core-EP inverse — Manipal Academy of Higher Education, …

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Core-ep inverse

(PDF) Revisiting the core EP inverse and its extension to rectangular ...

WebJun 4, 2024 · There are different generalizations of the CEP inverse in literature. In [ 2, 7 ], the extension of the CEP inverse was given for rectangular matrices, in [ 16, 17, 18] for bounded linear Hilbert space operators, in [ 5, 8, 35] for elements of rings and in [ … WebDec 9, 2024 · The core-EP inverse was extended for Banach algebra elements in [19] , for elements of rings in [10,20] and for tensors in [30] . Using a weight, the core-EP was generalized to rectangular ...

Core-ep inverse

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WebNov 9, 2024 · In this paper, we introduce the m-core-EP inverse in Minkowski space, consider its properties, and get several sufficient and necessary conditions for the existence of the m-core-EP inverse. We... WebIn this paper, perturbation bounds are provided for the W-weighted core-EP inverse of a rectangular matrix under reasonable conditions.Perturbation bounds for the core-EP inverse could be stated as a special case. Then, the continuity of the W-weighted core-EP inverse is considered from the perspective of equations.Finally, we give an application to …

WebSep 19, 2024 · Firstly, we give a new representation and a new characterization of the core EP inverse. Then, we study some properties of the core EP inverse by using a … WebNov 1, 2016 · Definition 5.1. Let A, B ∈ C n, n, A = A 1 + A 2 and B = B 1 + B 2 be the core-EP decompositions of A and B, respectively, where A 1 and B 1 are core-invertible, and, A 2 and B 2 are nilpotent. Then A is below B under the core-minus order if A 1 ≤ #⃝ B 1 and A 2 ≤ − B 2. Whenever this happens, we write A ≤ CM B.

WebFeb 10, 2024 · In this paper, we revise the core EP inverse of a square matrix introduced by Prasad and Mohana in [12], Core EP inverse, Linear and Multilinear Algebra 62(3) (2014), 792–802. WebPerturbation bounds for the core-EP inverse could be stated as a special case. Then, the continuity of the W-weighted core-EP inverse is considered from the perspective of …

WebSep 19, 2024 · In this paper, we revise the core EP inverse of a square matrix introduced by Prasad and Mohana in [12], Core EP inverse, Linear and Multilinear Algebra 62 (3) (2014), 792–802. Firstly, we give...

WebApr 12, 2024 · Two new generalized core inverse are introduced, namely, the (p, q, m)-core inverse and the 〈 p, q, n 〉-core inverse.These inverses extend the inverses of … find jimmy fallonWebOct 26, 2024 · The core and core-EP inverses of matrices have been intensively studied in recent years to solve a certain type of matrix equations [ 1, 2 ]. Hence, a significant … find jimmy john\u0027s near meWebApr 7, 2024 · The core-EP inverse of a square matrix was recently extended to the W -weighted core-EP inverse of a rectangular matrix A\in {\mathbb {C}}^ {m\times n} for W\in {\mathbb {C}}^ {n\times m} by Ferreyra et al. [ 10 ]. The W -weighted core-EP inverse of … find jin grunil gloves drop location bdmWebThe properties of matrices having ‘core–EP inverse’ and ‘core–EP generalized inverse’ are studied, and obtained a formula to compute the core–EP generalized inverse from … find jimmy rigbys remainsWebOct 26, 2024 · The core and core-EP inverses of matrices have been intensively studied in recent years to solve a certain type of matrix equations [ 1, 2 ]. Hence, a significant number of papers explored the characterizations of the core inverse and its applications in … equity residential mill creekWebJun 3, 2014 · It is easy to see that core-EP inverse and DMP inverse are both generalized core inverses, which are extensions of core inverse on square matrices without index … equity research word templateWebDec 27, 2024 · Based on the core-EP decomposition, we use the WG inverse, Drazin inverse, and other inverses to give some new characterizations of the WG matrix. … find jimmy herrod