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Characterizations, approximation and perturbations of the core-EP inverse
Applied Mathematics and Computation, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Predrag S Stanimirović, Hai-Feng Ma
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Generalization of core-EP inverse for rectangular matrices
Journal of Mathematical Analysis and Applications, 2021\textit{O. M. Baksalary} and \textit{G. Trenkler} [Linear Multilinear Algebra 58, No. 5--6, 681--697 (2010; Zbl 1202.15009)] have studied a core inverse of a matrix. The core-EP inverse of a matrix \(A \in \mathbb{C}^{n \times n}\), when \(k = \mathrm{ind}(A)\), is the unique matrix \(X \in \mathbb{C}^{n \times n}\) (denoted by \(A^{\dag}\) ) defined ...
Dijana Mosić +2 more
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Characterizations of the Weighted Core-EP Inverses
Bulletin of the Iranian Mathematical Society, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ratikanta Behera +3 more
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Generalized core-EP inverse for square matrices
Computational and Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bibekananda Sitha +4 more
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Extensions of generalized core-EP inverse
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mosić, Dijana +2 more
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Linear and Multilinear Algebra, 2013
In this work, we introduce a notion of ‘core–EP inverse’ for a square matrix which is not essentially of index one. This extends the notion of ‘core inverse’, which was initially defined for the matrices of index one. The properties of matrices having ‘core–EP inverse’ and ‘core–EP generalized inverse’ are studied, and obtained a formula to compute the
K. Manjunatha Prasad, K.S. Mohana
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In this work, we introduce a notion of ‘core–EP inverse’ for a square matrix which is not essentially of index one. This extends the notion of ‘core inverse’, which was initially defined for the matrices of index one. The properties of matrices having ‘core–EP inverse’ and ‘core–EP generalized inverse’ are studied, and obtained a formula to compute the
K. Manjunatha Prasad, K.S. Mohana
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The $${{\mathfrak {m}}}$$-Core-EP Inverse in Minkowski Space
Bulletin of the Iranian Mathematical Society, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongxing Wang, Hui Wu, Xiaoji Liu
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Core–EP inverses in Banach algebras
Linear and Multilinear Algebra, 2019We introduce the e–core–EP inverse and the core–EP inverse for elements of Banach algebras. Several characterizations and representations for these inverses are presented using idempotents and Draz...
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A characterization and perturbation bounds for the weighted core-ep inverse
Quaestiones Mathematicae, 2019In this paper, we present a new characterization of the weighted core-EP inverse of a rectangular matrix. We also investigate the perturbation bounds and approximations for the weighted core-EP inverse. Key words: Weighted core-EP inverse, core-EP inverse, weighted core-EP decomposition, characterization, perturbation.
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Perturbation bounds for the W-weighted core-EP inverse
Journal of Algebra and Its Applications, 2019In this paper, perturbation bounds are provided for the [Formula: see text]-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 [Formula: see text]-weighted core-EP inverse is considered from the perspective of equations.
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