Some results on higher numerical ranges and radii of quaternion matrices

Subject Areas : History and biography

Gh. Aghamollaei ¹ , N. Haj Aboutalebi ²

1 - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
2 - Department of Mathematics, Shahrood Branch, Islamic Azad University, Shahrood, Iran

Received: 2015-12-20 Accepted : 2016-03-11 Published : 2015-12-01

Keywords:

References:

[1] N. Haj Aboutalebi, Gh. Aghamollaei and H. Momenaee Kermani, Higher numerical ranges of quaternion matrices, Electronic J. Linear Algebra, 30 (2015), 889-904.

[2] R. Kippenhahn, Uber die Wertvorrat einer Matrix, Math. Nachr. 6 (1951), 193-228.

[3] C.K. Li, T.Y. Tam and N.K. Tsing, The generalized spectral radius, numerical radius and spectral norm, Linear Multilinear Algebra, 16 (1984), 215-237.

[4] F. Zhang, Quaternions and matrices of quaternions, Linear Algebra Appl. 251 (1997), 21-57.