Results 131 to 140 of about 3,042 (153)
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Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020The author extends the notions of weighted core-EP right and left inverses, weighted DMP and MPD inverses, and CMP inverses to matrices over the quaternion skew field. He provides some direct methods for their computation, or more precisely, their determinantal representations using noncommutative column and row determinants.
Ivan Kyrchei
semanticscholar +5 more sources
On weighted generalized core-EP inverses
Linear and Multilinear AlgebraWe characterize the weighted generalized core-EP inverse via the canonical decomposition, utilizing a weighted core invertible element and a quasinilpotent. We then offer a polar-like characterization for the weighted generalized core-EP inverse.
Huanyin Chen, M. Sheibani
semanticscholar +4 more sources
Weighted generalized core–EP inverse
Linear and Multilinear AlgebraD. Mosić, J. Marovt
semanticscholar +4 more sources
Perturbation bounds for the W-weighted core-EP inverse
Journal of Algebra and Its Applications, 2020In this paper, perturbation bounds are provided for the W-weighted core-EP inverse of a rectangular matrix under reasonable conditions.
Yuefeng Gao
semanticscholar +2 more sources
Maximal classes of operators determining some weighted generalized inverses
Journal of the Australian Mathematical Society, 2020We develop maximal classes of operators for which the representations of the weighted gDMP inverse, the weighted core–EP inverse and the weighted CMP inverse are valid. Applying our results, we obtain maximal classes determining gDMP inverse, the core–EP
D. Mosić
semanticscholar +2 more sources
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
openaire +2 more sources
On a weighted core inverse in a ring with involution
Communications in Algebra, 2018D. Mosić, Chunyuan Deng, Haifeng Ma
semanticscholar +3 more sources
WEIGHTED CORE–EP INVERSE AND WEIGHTED CORE–EP PRE-ORDERS IN A $C^{\ast }$ -ALGEBRA
Journal of the Australian Mathematical Society, 2019We define extensions of the weighted core–EP inverse and weighted core–EP pre-orders of bounded linear operators on Hilbert spaces to elements of a $C^{\ast }$ -algebra.
D. Mosić
semanticscholar +1 more source
Quaestiones Mathematicae. Journal of the South African Mathematical Society, 2022
In this paper we extend the definition of BT inverse of square complex matrices to rectangular matrices. This new generalized inverse (called the W -weighted BT inverse) always exists and is unique.
D. E. Ferreyra, N. Thome, C. Torigino
semanticscholar +1 more source
In this paper we extend the definition of BT inverse of square complex matrices to rectangular matrices. This new generalized inverse (called the W -weighted BT inverse) always exists and is unique.
D. E. Ferreyra, N. Thome, C. Torigino
semanticscholar +1 more source
A novel method for computing core-EP inverse through elementary transformation
Journal of Inverse and Ill-Posed ProblemsTwo novel representations of core-EP inverse A ( † ) A^{({\dagger})} are derived for a deficient square matrix A ∈ C n × n A\in C^{n\times n} with ind ( A ) = k \operatorname{ind}(A)=k .
Xingping Sheng, Jinjin Mei
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