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Characterizations of minus and star orders between the squares of Hermitian matrices

✍ Scribed by Jerzy K Baksalary; Jan Hauke

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 167 KB
Volume: 388
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(03)00531-7

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✦ Synopsis

Groß [Linear Algebra Appl. 326 (2001) 215] developed characterizations of the minus and star partial orders between the squares of Hermitian nonnegative definite matrices referring to the concept of the space preordering. In the present paper, his results are generalized by deleting the nonnegative definiteness assumption and supplemented by alternative characterizations.

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