Naslov
Preservers of partial orders on the set of all variance-covariance matrices

Autori
Golubić, Iva ; Marovt, Janko

Izvornik
Filomat (0354-5180) 34 (2020), 9; 3015-3030

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
linear model ; preserver ; Löwner partial order ; minus partial order ; variance-covariance matrix

Sažetak
Let H+ n (R) be the cone of all positive semidefinite n  n real matrices. Two of the best known partial orders that were mostly studied on subsets of square complex matrices are the Löwner and the minus partial orders. Motivated by applications in statistics we study these partial orders on H+ n (R). We describe the form of all surjective maps on H+ n (R), n > 1, that preserve the Löwner partial order in both directions. We present an equivalent definition of the minus partial order on H+ n (R) and also characterize all surjective, additive maps on H+ n (R), n  3, that preserve the minus partial order in both directions.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Interdisciplinarne prirodne znanosti

POVEZANOST RADA