Abstract:In the paper, using the real representation of special hyperbolic commutative quaternions, firstly, the real representation and series properties of special hyperbolic commutative quaternion matrix are given. Secondly, the sufficient and necessary conditions for the existence of such matrix eigenvalues are obtained. Finally, a new method for the inverse matrix of special hyperbolic commutative quaternion matrix is given, and the correctness of the conclusion is illustrated by an example.
孔 祥 强. 特殊双曲型交换四元数矩阵的特征值及逆矩阵[J]. 华中师范大学学报(自然科学版), 2019, 53(2): 165-170.
KONG Xiangqiang. The eigenvalues and inverse matrix of special hyperboliccommutative quaternion matrix. journal1, 2019, 53(2): 165-170.