摘要
讨论了四元数体上两类特殊矩阵的同时对角化问题。借助于实数域、复数域上的矩阵同时对角化的一些结论及方法,在对同时对角化问题的前期研究成果的基础上对四元数本身的特性加以改进,获得了四元数体上两类特殊矩阵同时对角化的条件。
The simultaneous diagonalization of two special quaternion matrices is discussed.By applying some conclusions and methods of simultaneous diagonalization of the real number field and complex field matrices,depending on the preliminary research results of simultaneous diagonalization,the author makes the improvement in accordance with the properties of quaternion,and obtains the condition given two special quaternion matrices.
出处
《重庆理工大学学报（自然科学）》
CAS
2011年第10期103-106,共4页
Journal of Chongqing University of Technology：Natural Science
基金
国家自然科学基金资助项目(59278369)
关键词
四元数体
矩阵
同时对角化
quaternion division algebra
matrix
simultaneous diagonalization
