八元数向量和矩阵的实表示  

The Real Representation of Octonion Vector and Matrix

作　　者：杨衍婷[1] 杨长恩[1] 

机构地区：[1]咸阳师范学院数学与信息科学学院,陕西咸阳712000

出　　处：《咸阳师范学院学报》2013年第4期9-12,共4页Journal of Xianyang Normal University

基　　金：咸阳师范学院科研基金项目(10XSYK109)

摘　　要：在八元数和八元数向量、矩阵空间上引入3种不同的实数表示方式,将八元数之间及八元数向量和矩阵之间的运算化为实数域上向量与矩阵之间的运算,得到的计算结果可准确转换成八元数和八元数向量与矩阵,这种方法可以在很大程度上克服八元数之间因乘积不结合与不可交换性而造成的计算困难,为计算机处理八元数的运算提供可行的操作方案。Three different real representations were introduced in octonion and octonion vector and matrix. By using the transformations, the operation between octonion vector and matrix will be transformed to the operation between real vector and matrix, and the result will be converted to octo- nion vector and matrix easily and accurately. The computation difficulty that the product cannot be asso- ciative and commutative in octonion will be overcome greatly in this way. A useful operation method for the data of octonion by using computer can be offered.

关 键 词：八元数 八元数向量矩阵 八元数实表示 

分 类 号：O151[理学—数学]