Matrices Associated with Moving Least-Squares Approximation and Corresponding Inequalities

Matrices Associated with Moving Least-Squares Approximation and Corresponding Inequalities

In this short article, some properties of matrices of moving least-squares approximation have been proven.The used technique is based on singular-value decomposition and inequalities for singular-values. Some inequalities for the norm of coefficients-vector of the linear approximation have been prov...

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Veröffentlicht in:arXiv.org 2015-10
Hauptverfasser: Nenov, Svetoslav, Tsvetkov, Tsvetelin
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Inequalities
Least squares
Mathematical analysis
Matrices (mathematics)
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Zusammenfassung:In this short article, some properties of matrices of moving least-squares approximation have been proven.The used technique is based on singular-value decomposition and inequalities for singular-values. Some inequalities for the norm of coefficients-vector of the linear approximation have been proven.
ISSN:2331-8422