共 1 条
[1]
Solution of the Equation AX + XB = C by Inversion of an M × M or N × N Matrix[J] . Antony Jameson.SIAM Journal on Applied Mathematics . 1968 (5)
On a Solution of the Quaternion Matrix Equation X-A B=C and Its Application
被引：5
作者：
Tong Song JIANG
机构：
基金：
中国国家自然科学基金;
关键词：
Quaternion matrix equation;
Solution;
Real representation;
D O I：
暂无
中图分类号：
O151.21 [矩阵论];
学科分类号：
070104 ;
摘要：
This paper first studies the solution of a complex matrix equation X - AXB = C,obtains an explicit solution of the equation by means of characteristic polynomial, and then studies thequaternion matrix equation X - = C, characterizes the existence of a solution to the matrixequation, and derives closed-form solutions of the matrix equation in explicit forms by means of realrepresentations of quaternion matrices. This paper also gives an application to the complex matrixequation X - = C.
引用
收藏
页码：483 / 490
页数：8
相关论文