Least squares approximants on Gauss-Lobatto points: orthogonal polynomials and Moore-Penrose pseudo-inverse

Authors:
Alfredo Eisinberg;Giuseppe Fedele
Affiliations:
Università della Calabria, Dip. Elettronica, Informatica e Sistemistica, Arcavacata di Rende, Italy;Università della Calabria, Dip. Elettronica, Informatica e Sistemistica, Arcavacata di Rende, Italy
Venue:
MATH'06 Proceedings of the 10th WSEAS International Conference on APPLIED MATHEMATICS
Year:
2006

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Mathematica: a system for doing mathematics by computer (2nd ed.)

Mathematica: a system for doing mathematics by computer (2nd ed.)
Discrete orthogonal polynomials on Gauss--Lobatto Chebyshev nodes

Journal of Approximation Theory

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Abstract

As circuit speeds increase and sizes decrease, lumped sum and quasi-static methods become inaccurate and rigorous analysis via the Method of Moments is then required to achieve accurate results. Unfortunately, this requires the solution of a large, dense ...