Results 1 to 10 of about 161 (153)
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 the existence of generalized weighted Moore-Penrose inverse and additive properties of the ...
Ratikanta Behera +2 more
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Bordering method to compute Core-EP inverse
Special Matrices, 2018 Abstract 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.
Prasad K. Manjunatha, Raj M. David
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Core and core-EP inverses of tensors [PDF]
Computational and Applied Mathematics, 2019 25
Jajati Keshari Sahoo +4 more
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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(
Ji, Jun, Wei, Yimin
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Continuity of the core-EP inverse and its applications [PDF]
Linear and Multilinear Algebra, 2019 In this paper, firstly we study the continuity of the core-EP inverse without explicit error bounds by virtue of two methods. One is the rank equality, followed from the classical generalized inverse. The other one is matrix decomposition. The continuity of the core inverse can be derived as a particular case. Secondly, we study perturbation bounds for
Gao, Yuefeng +2 more
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Perturbation of the weighted core–EP inverse
Annals of Functional Analysis, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy linear systems and core-EP inverses
, 2021 The main purpose of this paper is to provide a solution of the consistent fuzzy linear system and a generalized solution of the inconsistent fuzzy linear system involving the core-EP inverse of an associated matrix. Before this can be achieved, it is necessary to study the block structure of the core-EP inverse.
Gao, Yuefeng, Li, Jing
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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).
Gao, Yuefeng +2 more
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Dual Core-EP Generalized Inverse and Decomposition
CoRRIn this work, we introduce a new type of generalized inverse called dual core-EP generalized inverse (in short DCEPGI) for dual square matrices. We analyze the existence and uniqueness of the DCEPGI inverse and its compact formula using dual Drazin and dual MP inverse. Moreover, some characterizations using core-EP decomposition are obtained.
Bibekananda Sitha +2 more
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The $w$-core–EP inverse in rings with involution
Revista de la Unión Matemática ArgentinaSummary: The main goal of this paper is to present two new classes of generalized inverses in order to extend the concepts of the (dual) core-EP inverse and the (dual) \(w\)-core inverse. Precisely, we introduce the \(w\)-core-EP inverse and its dual for elements of a ring with involution.
Mosić, Dijana, Zhu, Huihui, Wu, Liyun
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