重庆理工大学学报（自然科学版）2017，Vol.31Issue(3)：143-150,8.DOI:10.3969/j.issn.1674-8425(z).2017.03.022
矩阵方程ATXA=C的对称M对称最佳逼近解
Symmetric M Symmetric Optimal Approximation Solution of Matrix Equation A TXA =C
摘要
Abstract
In the dynamic model updating,it usually needs to modify the stiffness matrix and the mass matrix to satisfy the orthogonal conditions.In this paper,they are modified by the study of their leastsquares approximations.Then we obtain the symmetric M symmetric least square solution's of ATXA =C by using canonical correlation decomposition in the symmetric M symmetric matrices set;Based on this,by using the projection theorem and the generalized singular value decomposition,we get its symmetric M symmetric optimal approximation solution of a given matrix.关键词
对称M对称矩阵/投影定理/标准相关分解/极小二乘解/最佳逼近解Key words
symmetric M symmetric matrices/projection theorem/canonical correlation decomposition/least square solution/optimal approximation solution分类
数理科学引用本文复制引用
徐玉霞,雷英杰,侯强..矩阵方程ATXA=C的对称M对称最佳逼近解[J].重庆理工大学学报（自然科学版）,2017,31(3):143-150,8.基金项目
国家自然科学基金青年基金资助项目(11501528) （11501528）
