Least-norm and Extremal Ranks of the Least Square Solution to the Quaternion Matrix Equation AXB = C Subject to Two Equations

• 作者: Yubao Bao
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 四元数矩阵方程 最小二乘解 极值 线性矩阵方程 溶液
• 年，卷（期）: 2014,（3）
• 页码范围: 449-460
• 页数: 12页
• 分类号: O151.21
• 语种: 中文

摘要

In this paper, we give the expression of the least square solution of the linear quaternion matrix equation AXB = C subject to a consistent system of quaternion matrix equations D1X = F1, XE2 =F2, and derive the maximal and minimal ranks and the leastnorm of the above mentioned solution. The finding of this paper extends some known results in the literature.