关于四元数矩阵Kronecker积的一些性质定理

Some Properties Theorem on Quaternion Matrix Kronecker Product

矩阵的Kronecker积是一种重要的矩阵乘积,是工程技术中重要的数学工具,有着非常重要的研究内容和成果。由于四元数乘法不满足交换律,使四元数矩阵的Kronecker积与复矩阵的Kronecker积存在较大差异。对几类特殊矩阵的Kronecker积进行了研究,有些结论是实(复)数域上矩阵Kronecker积的推广延伸。

Kroneeker product of matrix is not only an important matrix product, but also an important mathematical tool for engineering technology. It contains very important research contents and achievements. Quaternion multiplication can not meet exchange law, so quaternion matrix Kroneeker product and Kronecker product of complex matrices are different. This paper studied several special matrices＇ Kronecker product. Some conclusion is extension of real （complex） matrix Kroneeker product.