Higher numerical ranges of quaternion matrices
2015 ◽
Vol 30
◽
pp. 889-904
◽
Keyword(s):
Let n and k be two positive integers and k n. In this paper, the notion of kânumerical range of nâsquare quaternion matrices is introduced. Some algebraic and geometrical properties are investigated. In particular, a necessary and sufficient condition for the convexity of the kânumerical range of a quaternion matrix is given. Moreover, a new description of 1ânumerical range of normal quaternion matrices is also stated.
1990 ◽
Vol 41
(3)
◽
pp. 509-512
1980 ◽
Vol 21
(3)
◽
pp. 321-328
2018 ◽
Vol 36
(2)
◽
pp. 57-81
2017 ◽
Vol 13
(05)
◽
pp. 1083-1094
◽