Analogs of Cramer's rule for the minimum norm least squares solutions of some matrix equations

作者：Kyrchei Ivan^*

来源：Applied Mathematics and Computation, 2012, 218(11): 6375-6384.

DOI：10.1016/j.amc.2011.12.004

• Moore-Penrose inverse
• Matrix equation
• Least squares solution
• Cramer rule

The least squares solutions with the minimum norm of the matrix equations AX = B; XA = B and AXB = D are considered in this paper. We use the determinantal representations of the Moore-Penrose inverse obtained earlier by the author and get analogs of the Cramer rule for the minimum norm least squares solutions of these matrix equations.

• 出版日期2012-2-5