摘要
研究了矩阵方程AXB=C最小二乘解的秩的范围,利用矩阵的奇异值分解以及Frobenius范数的特征,得到了秩约束下最小二乘解的表达式,并得到了最大秩和最小秩最小二乘解.
This paper, we considered the rank range of the least-squares solutions of matrix equation AXB = C. By applying the singular value decomposition of matrix and the properties of Frobenius matrix norm, we have obtained the range of the rank and the least-squares solution expression of under rank con- strained. Finally, we have provided the expressions of the least-squares solutions with maximal and mini- mum rank respectively.
出处
《湖南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2013年第7期92-94,共3页
Journal of Hunan University:Natural Sciences
基金
国家自然科学基金资助项目(11271117)
