摘要
主要讨论列延拓矩阵的线性约束矩阵方程组的最佳逼近.利用延拓矩阵的性质和矩阵奇异值分解的方法研究了列延拓矩阵的线性约束矩阵方程组通解表达式,并得到该问题有解的充要条件,最后研究了相应的最佳逼近解问题.
The essay mainly discusses the optimal approximations of the equations with linear restrains of the column extended matrix. Taking advangtage of the properties of the extended matrix and the method of singular value decomposition, the general solution＇s expression of the matrix equations with linear re- strain is given, the necessary and sufficient conditions of the solvability are derived, and finally the relat- ed approximations are studied.
出处
《暨南大学学报（自然科学与医学版）》
CAS
CSCD
北大核心
2013年第3期267-269,共3页
Journal of Jinan University(Natural Science & Medicine Edition)
基金
国家"十一五"规划基金课题项目(BCA060016)
关键词
列延拓矩阵
线性约束
矩阵方程组
奇异值分解
最佳逼近
column extended matrix
linear restrain
matrix equations
singular value decom-position
optimal approximation
