A test, based on conversion to the Bernstein polynomial basis, for an interval to be free of zeros applicable to polynomials in Chebyshev form and to transcendental functions approximated by Chebyshev series-Reference-Cited by-同舟云学术

A test, based on conversion to the Bernstein polynomial basis, for an interval to be free of zeros applicable to polynomials in Chebyshev form and to transcendental functions approximated by Chebyshev series

Published:2007-05 Issue:2 Volume:188 Page:1780-1789
ISSN:0096-3003
Container-title:Applied Mathematics and Computation
language:en
Short-container-title:Applied Mathematics and Computation

Author:

Boyd John P.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference26 articles.

1. Basic conversions among univariate polynomial representations;Barrio;C.R. Acad. Sci, Paris, Ser. I,2004

2. An extension of Matlab to continuous functions and operators;Battles;SIAM J. Sci. Comput.,2004

3. A Chebyshev polynomial interval-searching method (Lanczos economization) for solving a nonlinear equation with application to the nonlinear eigenvalue problem;Boyd;J. Comput. Phys.,1995

4. Chebyshev and Fourier Spectral Methods;Boyd,2001

5. Computing zeros on a real interval through Chebyshev expansion and polynomial rootfinding;Boyd;SIAM J. Numer. Anal.,2002

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Convergence and error theorems for Hermite function pseudo-RBFs: Interpolation on a finite interval by Gaussian-localized polynomials;Applied Numerical Mathematics;2015-01

2. Solutions of 2nd-order linear differential equations subject to Dirichlet boundary conditions in a Bernstein polynomial basis;Journal of the Egyptian Mathematical Society;2014-07

3. Bisection and Interpolation Methods;Studies in Computational Mathematics;2013

4. New series for the cosine lemniscate function and the polynomialization of the lemniscate integral;Journal of Computational and Applied Mathematics;2011-02

5. Six strategies for defeating the Runge Phenomenon in Gaussian radial basis functions on a finite interval;Computers & Mathematics with Applications;2010-12