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Further properties of the star, left-star, right-star, and minus partial orderings

✍ Scribed by Jerzy K. Baksalary; Oskar Maria Baksalary; Xiaoji Liu

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
201 KB
Volume
375
Category
Article
ISSN
0024-3795

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✦ Synopsis

Certain classes of matrices are indicated for which the star, left-star, right-star, and minus partial orderings, or some of them, are equivalent. Characterizations of the left-star and rightstar orderings, similar to those devised by Hartwig and Styan [Linear Algebra Appl. 82 (1986) 145] for the star and minus orderings, are established along with other auxiliary results, which are of independent interest as well. Some inheritance-type properties of matrices are also given. The class of EP matrices appears to be essential in several points of our considerations.

πŸ“œ SIMILAR VOLUMES

Characterizations of minus and star orde
Characterizations of minus and star orders between the squares of Hermitian matrices
✍ Jerzy K Baksalary; Jan Hauke πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 167 KB

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