一般线性四元数矩阵方程的Hermite解

J4 ›› 2008, Vol. 43 ›› Issue (12): 1-4.

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一般线性四元数矩阵方程的Hermite解

凌思涛¹,程学汉²,魏木生^1,3

1. 华东师范大学数学系, 上海 200241; 2. 鲁东大学数学与信息学院, 山东烟台 264025;
3. 上海师范大学数学系, 上海高校科学计算重点实验室，上海 200234

收稿日期:2008-09-05 出版日期:2008-12-16 发布日期:2009-11-09
通讯作者: 凌思涛

On Hermitian solutions to general linear quaternionic matrix equations

LING Si-tao¹, CHENG Xue-han², WEI Mu-sheng^1,3

1. Department of Mathematics, East China Normal University, Shanghai 200241, China;
2. School of Mathematics and Information, Ludong University, Yantai 264025, Shandong, China; 3. Department of Mathematics,
Shanghai Normal University, Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, China

Received:2008-09-05 Online:2008-12-16 Published:2009-11-09

摘要/Abstract

摘要：

在矩阵的张量函数和矩阵的Kronecker积的基础上定义了矩阵的部分张量函数, 给出研究一般线性四元数矩阵方程Hermite解的一种转化方法。

关键词: 四元数矩阵方程; Hermite解; Kronecker积; 特征张量函数

Abstract:

On the basis of vector function and Kronecker product of matrixes, the partial vector function was defined, and a translational method was given for studying Hermitian solutions to general linear quaternionic matrix equations.

Key words: quaternion matrix equation; Hermitian solution; Kronecker product; eigen-vector functionR

中图分类号:

O151.21

凌思涛程学汉魏木生. 一般线性四元数矩阵方程的Hermite解[J]. J4, 2008, 43(12): 1-4.

LING Si-Chao, CHENG Wue-Han, WEI Mu-Sheng. On Hermitian solutions to general linear quaternionic matrix equations[J]. J4, 2008, 43(12): 1-4.

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一般线性四元数矩阵方程的Hermite解

On Hermitian solutions to general linear quaternionic matrix equations

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