Weak group inverse
Copyright policy )Weak group inverse
AbstractIn this paper, we introduce the weak group inverse (called as the WG inverse in the present paper) for square complex matrices of an arbitrary index, and give some of its characterizations and properties. Furthermore, we introduce two orders: one is a pre-order and the other is a partial order, and derive several characterizations of the two orders. The paper ends with a characterization of the core EP order using WG inverses.
- Southeast University China (People's Republic of)
- Guangxi University for Nationalities China (People's Republic of)
ce partial order, 15a09, Matrix equations and identities, weak group inverse, Mathematics - Rings and Algebras, wg order, 15a57, 15a24, Positive matrices and their generalizations; cones of matrices, group inverse, core-ep decomposition, Rings and Algebras (math.RA), 15A09, 15A57, 15A24, QA1-939, FOS: Mathematics, core-EP decomposition, Hermitian, skew-Hermitian, and related matrices, Theory of matrix inversion and generalized inverses, Mathematics
ce partial order, 15a09, Matrix equations and identities, weak group inverse, Mathematics - Rings and Algebras, wg order, 15a57, 15a24, Positive matrices and their generalizations; cones of matrices, group inverse, core-ep decomposition, Rings and Algebras (math.RA), 15A09, 15A57, 15A24, QA1-939, FOS: Mathematics, core-EP decomposition, Hermitian, skew-Hermitian, and related matrices, Theory of matrix inversion and generalized inverses, Mathematics
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