On Real Matrices to Least-Squares g-Inverse and Minimum Norm g-Inverse of Quaternion Matrices

• 作者: Huasheng Zhang
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: Extreme RANK g-Inverse LEAST-SQUARES g-Inverse Minimum NORM g-Inverse QUATERNION Matrix
• 年，卷（期）: 2011,（1）
• 页码范围: 1-7
• 页数: 7页
• 分类号: O1

摘要

Through the real representations of quaternion matrices and matrix rank method, we give the expression of the real ma-trices in least-squares g-inverse and minimum norm g-inverse. From these formulas, we derive the extreme ranks of the real matrices. As applications, we establish necessary and sufficient conditions for some special least-squares g-inverse and minimum norm g-inverse.