Polynomial degree reduction in the L2-norm on a symmetric interval for the canonical basis

Polynomial degree reduction in the L2-norm on a symmetric interval for the canonical basis

In this paper, we develop a direct formula for determining the coefficients in the canonical basis of the best polynomial of degree M that approximates a polynomial of degree N>Mon a symmetric interval for the L2-norm. We also formally prove that using the formula is more computationally efficien...

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Bibliographic Details
Main Authors: Habib Ben Abdallah, Christopher J. Henry, Sheela Ramanna
Format: Article
Language:English
Published: Elsevier 2021-11-01
Series:Results in Applied Mathematics
Subjects:
Polynomial degree reduction
Legendre polynomials
Optimization
Euclidian norm
Canonical basis
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037421000352

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http://www.sciencedirect.com/science/article/pii/S2590037421000352

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