Matrices Associated with Moving Least-Squares Approximation and\n Corresponding Inequalities

2015/09/18 by Svetoslav Nenov, Nenov, Svetoslav, Tsvetelin Tsvetkov +1
Computer Science · Engineering · Mathematics · #93E24 #Advanced Research in Systems and Signal Processing #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Statistical and numerical algorithms

paper · pdf · doi:10.48550/arxiv.1509.05601

openalex publication_date 2015/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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