The maximal and minimal ranks of a quaternion matrix expression with applications |
| |
Authors: | Somayeh Rashedi Ghodrat Ebadi Anjan Biswas |
| |
Affiliation: | 1. Faculty of Mathematical Sciences, University of Tabriz, Tabriz 51666-14766, Iran;2. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA |
| |
Abstract: | In this paper, we establish the formulas of the extermal ranks of the quaternion matrix expression f(X1, X2) = C7 ? A4X1B4 ? A5X2B5 where X1, X2 are variant quaternion matrices subject to quaternion matrix equations A1X1 = C1, A2X1 = C2, A3X1 = C3, X2B1 = C4, X2B2 = C5, X2B3 = C6. As applications, we give a new necessary and sufficient condition for the existence of solutions to some systems of quaternion matrix equations. Some results can be viewed as special cases of the results of this paper. |
| |
Keywords: | Quaternion matrix Rank |
本文献已被 ScienceDirect 等数据库收录! |
|