摘要
提出一种四元数的实向量表示,借助矩阵半张量积研究具有特殊结构的四元数Toeplitz线性系统Ax=b,得到了有解的充要条件及四元数线性系统相容时的通解表达式,并给出了数值例子来检验方法的有效性.
In this paper, a real vector representation of quaternion was proposed. A Toeplitz linear system of quaternion Ax=b with special structure was studied by means of semi-tensor product of matrices. The necessary and sufficient conditions for the existence of solutions and the expression of general solution of quaternion linear system were obtained. Furthermore, numerical example was given to verify the effectiveness of the method.
作者
王涛
李莹
丁文旭
韦安丽
WANG Tao;LI Ying;DING Wenxu;WEI Anli(College of Mathematics Science,Liaocheng University,Liaocheng 252000,China)
出处
《杭州师范大学学报(自然科学版)》
CAS
2022年第6期646-651,共6页
Journal of Hangzhou Normal University(Natural Science Edition)
基金
山东省自然科学基金项目(ZR2020MA053)
聊城大学科研基金项目(319462208)。