线性约束下广义中心对称矩阵扩充及其最佳逼近  

Generalized Centrosymmetric Matrices Extension and Its Optimal Approximation Under the Linear Constraint

作　　者：张华珍[1] 

机构地区：[1]湘西民族职业技术学院基础课部,湖南吉首416000

出　　处：《荆楚理工学院学报》2010年第5期39-43,共5页Journal of Jingchu University of Technology

摘　　要：文章讨论子矩阵约束下‖AX-Z‖2+‖YHA-WH‖2=min的广义中心对称解及其最佳逼近,给出了解存在的充要条件及通解的表达式,并且给出了解集合中与给定矩阵的最佳逼近。This paper considers the solutions of inverse problem for Generalized Centrosymmetric matrices with a submatrix constraint and its Optimal Approximation.The necessary and sufficient conditions for the existence and the expression of the general solutions are given.Moreover,in the solution set of correspending problem,the expression of the optimal approximation solution to given matrix is derived.

关 键 词：广义中心对称矩阵 商奇异值分解 最佳逼近 

分 类 号：O151.21[理学—数学]