Matrices Associated with Moving Least-Squares Approximation and Corresponding Inequalities - Advances in Pure Mathematics

APM > Vol.5 No.14, December 2015

Advances in Pure Mathematics

Volume 5, Issue 14 (December 2015)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

Matrices Associated with Moving Least-Squares Approximation and Corresponding Inequalities ()

HTML XML

Download as PDF (Size: 296KB) PP. 856-864

DOI: 10.4236/apm.2015.514080 4,005 Downloads 4,763 Views Citations

Author(s)

Svetoslav Nenov^*, Tsvetelin Tsvetkov

Affiliation(s)

Department of Mathematics, University of Chemical Technology and Metallurgy, Sofia, Bulgaria.

ABSTRACT

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.

KEYWORDS

Moving Least-Squares Approximation, Singular-Values

Share and Cite:

Nenov, S. and Tsvetkov, T. (2015) Matrices Associated with Moving Least-Squares Approximation and Corresponding Inequalities. Advances in Pure Mathematics, 5, 856-864. doi: 10.4236/apm.2015.514080.

Cited by

[1]	AN ERROR ESTIMATION IN MOVING LEAST-SQUARES APPROXIMATION: INTERPOLATORY APPROXIMATION
	2017

[2]	AN UPPER ESTIMATE FOR THE LARGEST SINGULAR VALUE OF A SPECIAL MATRIX, II
	2017

[3]	AN UPPER ESTIMATE FOR THE LARGEST SINGULAR VALUE OF A SPECIAL MATRIX, III
	2017

[4]	Some comparison results for moving least-square approximations
	2016