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Matrices Associated with Moving Least-Squares Approximation and Corresponding Inequalities
Department of Mathematics, University of Chemical Technology and Metallurgy, Sofia, Bulgaria
Department of Mathematics, University of Chemical Technology and Metallurgy, Sofia, Bulgaria
- 1 Department of Mathematics, University of Chemical Technology and Metallurgy, Sofia, Bulgaria
- 2 Department of Mathematics, University of Chemical Technology and Metallurgy, Sofia, Bulgaria
Advances in Pure Mathematics·Volume 05 (2015)·Pages 856–864·Published 7 December 2015·DOI10.4236/apm.2015.514080
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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.
KeywordsMoving Least-Squares ApproximationSingular-Values
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