Rootfinding for a transcendental equation without a first guess: polynomialization of Kepler's equation through Chebyshev polynomial expansion of the sine
type: Item
instance of: scholarly article
title: Rootfinding for a transcendental equation without a first guess: polynomialization of Kepler's equation through Chebyshev polynomial expansion of the sine
zbMATH Open document ID: 1105.65054
author: John P. Boyd
published in: Applied Numerical Mathematics
publication date: 2006-12-14T00:00:00Z
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 70-08
zbMATH DE Number: 5080142
zbMATH Keywords: celestial mechanics
zbMATH Keywords: elliptical orbit
zbMATH Keywords: Matlab implementation
zbMATH Keywords: transcendental equations
zbMATH Keywords: Chebysbev expansions
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: j.apnum.2005.11.010
OpenAlex ID: W2081192208
Wikidata QID: Q61893610
cites work: A Chebyshev polynomial interval-searching method (``Lanczos economization'') for solving a nonlinear equation with application to the nonlinear eigenvalue problem
cites work: Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
cites work: Computing Zeros on a Real Interval through Chebyshev Expansion and Polynomial Rootfinding
cites work: Computing real roots of a polynomial in Chebyshev series form through subdivision
cites work: Computing real roots of a polynomial in Chebyshev series form through subdivision with linear testing and cubic solves
cites work: The convergence of Newton-Raphson iteration with Kepler's equation
cites work: Q4315258
cites work: Roots of Polynomials Expressed in Terms of Orthogonal Polynomials
cites work: Analysis of Some Padé--Chebyshev Approximants
cites work: The special functions and their approximations. Vol. I, II
cites work: Some remarks on multivariate Chebyshev polynomials
cites work: Q5561492
cites work: Numerical Polynomial Algebra
cites work: Global convergence of Newton's method on an interval
DOI: 10.1016/J.APNUM.2005.11.010
description: scientific article; zbMATH DE number 5080142