Core-EP decomposition and its applications
By Hongxing Wang. 2016
231 citations recorded by the source corpus.
Abstract In this paper, we introduce a new decomposition (called the core-EP decomposition in the present paper) for square matrices and give some of its applications. By applying the decomposition, we derive several characterizations of the core-EP inverse, introduce two orders – the core-EP order and the core-minus partial order, and characterize their properties. We also give some properties of the decomposition.
Subfields: Computational Theory and Mathematics, Electrical and Electronic Engineering, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/2682098502cc50c5b9c5d7ba2a2d060d9d45fdeb
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In Computational Theory and Mathematics
In Electrical and Electronic Engineering
In Numerical Analysis
Citations in the corpus
- Characterizations of k-commutative equalities for some outer generalized inverses (2018, methodology): “In addition, we state new characterizations of k-EP matrices by using the recent core EP decomposition given by Wang in [6].”
- Weak group inverse (2017, background): “rk T 1 0 0 N 2 −N 22 = rk(T 1) +rk(N 2 −N 22) = rk(T 1) +rk(N 2)−rk(N 22). Therefore, rk(B −A) = rk(B) −rk(A), that is, A − ≤B. 5. Characterizations ofthe core-EP order As is noted in [16], the core-EP order is given: A † ≤B : A,B ∈ C n,n,A †A = A† B and AA† = BA . (5.1) Some characterizatio”
- Revisiting the core EP inverse and its extension to rectangular matrices (2017, background): “2 in [13], every matrix A ∈ Cn×n of index k can be represented in the form”