Some results on the k -numerical range of quaternion matrices.

Autor: Aghamollaei, Gholamreza, Haj Aboutalebi, Narges, Momenaee Kermani, Hossein
Předmět:
Zdroj: Linear & Multilinear Algebra; Dec2016, Vol. 64 Issue 12, p2419-2430, 12p
Abstrakt: Letnandkbe two positive integers and. In this paper, the connectivity of thek-numerical range ofn-square quaternion matrices is investigated. Also, the quaternion matrices whose higher numerical ranges are singleton or a line segment are characterized. Moreover, some algebraic and geometrical properties of higher numerical ranges of skew-Hermitian quaternion matrices are investigated. Then-numerical range ofn-square quaternion matrices is also studied. [ABSTRACT FROM PUBLISHER]
Databáze: Complementary Index