Least squares solutions with special structure to the linear matrix equation AXB = C

作者：Zhang Fengxia^*; Li Ying; Guo Wenbin; Zhao Jianli

来源：Applied Mathematics and Computation, 2011, 217(24): 10049-10057.

DOI：10.1016/j.amc.2011.04.081

• Generalized inverse
• Linear matrix equation
• Least squares solution
• Maximal rank
• Minimal rank
• Matrix rank method

In this article we give some formulas for the maximal and minimal ranks of the submatrices in a least squares solution X to AXB = C. From these formulas, we derive necessary and sufficient conditions for the submatrices to be zero and other special forms, respectively. Finally, some Hermitian properties for least squares solution to matrix equation AXB = C are derived.

• 出版日期2011-8-15
• 单位聊城大学