摘要
利用广义自反矩阵和广义反自反矩阵的性质讨论了线性方程组 AX=b和矩阵方程 AX=B的最小二乘解问题 .当 A为广义自反矩阵或广义反自反矩阵时 ,可将线性方程组 AX=b的最小二乘解问题化为两个较小独立的子问题 ;当 A、B都是广义自反矩阵或广义反自反矩阵时 ,可将矩阵方程 AX=B的最小二乘解问题化为线性方程组的最小二乘解问题 ,从而使这些问题的讨论得到简化 .
By using of the properties of the generalization reflexive (antireflexive) matrices,the problems are discussed that least squares solutions of systems of linear equation AX=b and matrices equation AX=B.When A is the generalization reflexive (antireflexive) matrices, least squares problems of systems of linear equation AX=b can be decomposed into two smaller and independent subproblems.When A,B both are the generalization reflexive(antirefiexive) matrices, least squares problems of matrix equation AX=B can be decomposed into least squares problems of systems of linear equation.By this way, the discussion of these problems can be simplified.
出处
《郑州大学学报（理学版）》
CAS
2005年第1期13-15,20,共4页
Journal of Zhengzhou University:Natural Science Edition
基金
河南省自然科学基金资助项目
编号 0 110 5 12 0 0
