Hermite广义Hamilton矩阵反问题的最小二乘解  

LEAST-SQUARE SOLUTIONS OF INVERSE PROBLEM FOR HERMITE AND GENERALIZED SKEW-HAMILTON MATRICES

作　　者：钱爱林[1] 柳学坤[1] 

机构地区：[1]咸宁学院数学系,湖北咸宁437005

出　　处：《数学杂志》2006年第5期519-523,共5页Journal of Mathematics

摘　　要：本文研究了Hermite广义Hamilton矩阵反问题的最小二乘解,利用矩阵的奇异值分解,得到了解的表达式用Hermite广义Hamilton矩阵构造给定定矩阵的最佳逼近问题有解的条件.In this paper the least-square solutions of the inverse problem of Hermite and generalized skew-Hamilton matrices are discussed. By using singular value decomposition, the expression of the solutions is obtained. In addition, we provide the necessary and sufficient conditions about the problem of using Hermite and generalized skew-Hamilton to construct the optimal approximation to a give matrix.

关 键 词：Hermite广义Hamilton矩阵 矩阵范数 最佳逼近 

分 类 号：O241.5[理学—计算数学]