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Core-ep inverse

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 …

Core-EP decomposition and its applications - ScienceDirect

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 ... 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... the aldyn for sale https://pammiescakes.com

The full rank expressions for the W-weighted Drazin and core-EP inverse ...

WebApr 14, 2024 · In this paper, we present three limit representations of the core-EP inverse. The first approach is based on the full-rank decomposition of a given matrix. The second and third approaches, which... 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... WebJun 1, 2024 · Also several different characterizations of the weak group inverse are presented by projection and the Bott-Duffin inverse. Then by using the core-EP decomposition, we investigate the... the fyxx winnipeg

The full rank expressions for the W-weighted Drazin and core-EP inverse ...

Category:The Characterizations of WG Matrix and Its Generalized Cayley

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Core-ep inverse

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

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 the 〈 i, m 〉-core inverse, the (j, m)-core inverse, the core inverse, the core-EP inverse and the DMP-inverse.The (p, q, m)-core inverse and the 〈 p, q, n 〉-core inverse can … WebApr 12, 2024 · inverse of a if it is an outer inverse of a and b is a ∗-EP element satisfies bR = a k R. The notion of the core inverse for a complex matrix was introduced by Baksalary and T renkler [

Core-ep inverse

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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 … 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 …

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... WebMay 19, 2024 · Some of the features of the generalized core inverse coincide with those attributed to the core inverse, but there are also such which characterize the core …

Webinverse and the hp,q,ni-core inverse; both extend the inverses of the hi,mi-core inverse, the (j,m)-core inverse, the core inverse, the core-EP inverse and the DMP-inverse. 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

WebJun 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 …

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 ... the f-zoneWebDec 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. … the g1the aldyn gymWebApr 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 … the fzWebJun 30, 2016 · By using the decomposition, we derive several characterizations of the core-EP inverse, introduce a pre-order (i.e. the core-EP order) and a partial order (i.e. the core-minus partial order),... the aldyn nyc rentalsWebOct 29, 2024 · Definitions of the core and core-EP inverses of tensors are introduced. (2) Some characterizations and properties of the core and core-EP inverses are investigated. (3) The results are verified using one specific algebraic approach, which is new even in the matrix case. The rest of the paper is organized as follows. the fyzz 映画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 [ … the aldwych theatre london seating plan