A modified least squares method: Approximations on the unit circle and on (-1,1)
Ribeiro, LuanaL. Silva 1Ranga, A. Sri1
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作者信息
1. UNESP Univ Estadual Paulista
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Abstract
The main objective in the present manuscript is to consider approximations of functions defined on the unit circle by Laurent polynomials derived from certain combinations of kernel polynomials of orthogonal polynomials on the unit circle. The method that we employ is based on a modification of the least squares method. The modification adopted here simplifies considerably the determinations of the coefficients in the combinations. Numerical examples show that this modified technique still leads to very good approximations. (c) 2022 Elsevier B.V. All rights reserved.
Key words
Orthogonal polynomials on the unit circle/Kernel polynomials on the unit circle/Least squares approximation
NSTL
Elsevier