Core-EP decomposition and its applications
Copyright policy )Core-EP decomposition and its applications
In this paper, we introduce the notion of the core-EP decomposition and some of its properties. By using the decomposition, we derive several characterizations of the core-EP inverse, introduce a pre-order(i.e. the core-EP order) and a partial order(i.e. the core-minus partial order), and characterize the properties of both orders.
- Hunan Normal University China (People's Republic of)
- Huainan Normal University China (People's Republic of)
- Huaiyin Normal University China (People's Republic of)
- Huaiyin Normal University China (People's Republic of)
- Hainan Normal University China (People's Republic of)
core-minus partial order, Rings and Algebras (math.RA), Matrix equations and identities, core-EP order, FOS: Mathematics, core-EP decomposition, Hermitian, skew-Hermitian, and related matrices, Theory of matrix inversion and generalized inverses, Mathematics - Rings and Algebras, core-EP inverse
core-minus partial order, Rings and Algebras (math.RA), Matrix equations and identities, core-EP order, FOS: Mathematics, core-EP decomposition, Hermitian, skew-Hermitian, and related matrices, Theory of matrix inversion and generalized inverses, Mathematics - Rings and Algebras, core-EP inverse
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