On Hermitian generalized inverses and positive semidefinite generalized inverses

Xifu Liu ()
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Xifu Liu: East China Jiaotong University

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 4, 443-459

Abstract: Abstract The main aim of this paper is to investigate the Hermitian and positive semidefinite generalized inverses of a square matrix. First, we present some conditions for the existence of Hermitian and positive semidefinite generalized inverses. Further, expressions of these generalized inverses are given. Finally, we give two numerical examples to demonstrate our results.

Keywords: Generalized inverse; Hermitian generalized inverse; positive semidefinite generalized inverse (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0073-8

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