Results 1 to 10 of about 2,973 (96)

Further Results on Weighted Core-EP Inverse of Matrices [PDF]

Results in Mathematics, 2020
In this paper, we introduce the notation of E-weighted core-EP and F-weighted dual core-EP inverse of matrices. We then obtain a few explicit expressions for the weighted core-EP inverse of matrices through other generalized inverses. Further, we discuss
Ratikanta Behera, G. Maharana, J. Sahoo
semanticscholar   +5 more sources

Representations and properties of the W-weighted core-EP inverse [PDF]

Linear and Multilinear Algebra, 2018
In this paper, we investigate the weighted core-EP inverse introduced by Ferreyra, Levis and Thome. Several computational representations of the weighted core-EP inverse are obtained in terms of singular-value decomposition, full-rank decomposition and ...
Yuefeng Gao, Jianlong Chen, P. Patrício
semanticscholar   +4 more sources

The Core-EP, Weighted Core-EP Inverse of Matrices and Constrained Systems of Linear Equations

Communications in Mathematical Research, 2021
We study the constrained system of linear equations$Ax=b$, $x∈\mathcal{R}(A^k)$for  $A ∈ \mathbb{C}^{n×n}$  and  $b ∈\mathbb{C}^n$, $k=Ind(A)$. When the system is consistent, it is well known that it has a unique $A^Db$. If the system is inconsistent, then we seek for the least squares solution of the problem and consider$$\min _{x \in \mathcal{R}\left(
Jun Wei
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Weighted binary relations involving core-EP inverse [PDF]

Frontiers of Mathematics in China, 2020
Let \(A\in \mathbb{C}^{m \times n}\) and \(0 \neq W\in \mathbb{C}^{n \times m}\). Let \(k\) denote the minimum of the indices of the matrices \(AW\) and \(WA\) (the index of a matrix \(B\) is the smallest nonnegative integer \(k\) such that the ranks of \(B^k\) and \(B^{k+1}\) are the same).
Yuefeng Gao, Jianlong Chen, P. Patrício
semanticscholar   +4 more sources

Perturbation of the weighted core–EP inverse

Annals of Functional Analysis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Mosić
semanticscholar   +2 more sources

Determinantal Representations of the Weighted Core-EP, DMP, MPD, and CMP Inverses [PDF]

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 Kyrchei
semanticscholar   +4 more sources

Perturbation of the Weighted T-Core-EP Inverse of Tensors Based on the T-Product

Communications in Mathematical Research, 2021
In this paper, we extend the notion of the T-Schur decomposition to the weighted T-core-EP decomposition. Next, the weighted T-core-EP inverse of rectangular tensors is defined by a system, and its existence and uniqueness are obtained. Furthermore, the perturbation of the weighted T-core-EP inverse is studied under several conditions, and the relevant
Yuhang Liu & HaifengMa
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Pre-orders defined by weighted core-EP inverse

Filomat
Our aim is to introduce new binary relations on the set of all Wg-Drazin invertible bounded linear operator between two Hilbert spaces in terms of the weighted core-EP inverse.
Katarina S. Stojanović, Dijana Mosi'c
semanticscholar   +2 more sources

Weighted generalized core-EP inverse in Banach *-algebras

Filomat
In this paper, we introduce the weighted generalized core-EP inverse in the context of a Banach *-algebra. We extend certain properties of the weighted core-EP inverse for rectangular complex matrices and bounded linear operators on Hilbert spaces, and ...
Huanyin Chen, M. Sheibani
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Characterizations of weighted core inverse in rings with involution [PDF]

Journal of Algebra and its Applications, 2021
R is a unital ring with involution. We investigate the characterizations and representations of weighted core inverse of an element in R by idempotents and units.
Tingting Li
semanticscholar   +1 more source