A modified least squares method: Approximations on the unit circle and on (−1,1)
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Data
2022-08-15
Autores
Silva Ribeiro, Luana L. [UNESP]
Sri Ranga, A. [UNESP]
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Resumo
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.
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Kernel polynomials on the unit circle, Least squares approximation, Orthogonal polynomials on the unit circle
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Journal of Computational and Applied Mathematics, v. 410.