Further characterizations of the weak group inverse of matrices and the weak group matrix
Copyright policy )Further characterizations of the weak group inverse of matrices and the weak group matrix
This paper is devoted to consider some new characteristics and properties of the weak group inverse and the weak group matrix. First, we characterize the weak group inverse of a square matrix based on its range space and null space. Also several different characterizations of the weak group inverse are presented by projection and the Bott-Duffin inverse. Then by using the core-EP decomposition, we investigate the relationships between weak group inverse and other generalized inverses. And some new characterizations of weak group matrix are obtained.
- Guangxi University for Nationalities China (People's Republic of)
- Hubei Normal University China (People's Republic of)
Vector spaces, linear dependence, rank, lineability, null space, Matrix equations and identities, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), weak group inverse, weak group matrix, rang space, core-ep decomposition, QA1-939, core-EP decomposition, Theory of matrix inversion and generalized inverses, Mathematics
Vector spaces, linear dependence, rank, lineability, null space, Matrix equations and identities, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), weak group inverse, weak group matrix, rang space, core-ep decomposition, QA1-939, core-EP decomposition, Theory of matrix inversion and generalized inverses, Mathematics
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