Matrices Associated with Moving Least-Squares Approximation and Corresponding Inequalities  

作　　者：Svetoslav Nenov Tsvetelin Tsvetkov 

机构地区：[1]Department of Mathematics, University of Chemical Technology and Metallurgy, Sofia, Bulgaria

出　　处：《Advances in Pure Mathematics》2015年第14期856-864,共9页理论数学进展（英文）

摘　　要：In this article, some properties of matrices of moving least-squares approximation have been proven. The used technique is based on known inequalities for singular-values of matrices. Some inequalities for the norm of coefficients-vector of the linear approximation have been proven.In this article, some properties of matrices of moving least-squares approximation have been proven. The used technique is based on known inequalities for singular-values of matrices. Some inequalities for the norm of coefficients-vector of the linear approximation have been proven.

关 键 词：Moving LEAST-SQUARES Approximation Singular-Values 

分 类 号：O1[理学—数学]