Empirical Versus Asymptotic Rate of Convergence of a Class of Methods for Solving a Polynomial EquationJournal of Computational and Applied Mathematics (1997)
Given alternative methods with identical order of convergence for solving the polynomial equation -(z) = 0, the method with the smaller asymptotic error constant might be assumed to be superior in terms of the number of iterations required for convergence. We present empirical evidence for a parameterized class of methods of second order showing that a parameter choice which does not correspond to the minimal asymptotic error constant may nevertheless be superior in practice.
- Polynomial equation,
- Algebraic equation,
- Asymptotic rate of convergence,
Publication DateSeptember 15, 1997
Citation InformationTjalling Ypma and Masao Igarashi. "Empirical Versus Asymptotic Rate of Convergence of a Class of Methods for Solving a Polynomial Equation" Journal of Computational and Applied Mathematics Vol. 82 Iss. 1-2 Special Issue: 7th ICCAM 96 Congress (1997)
Available at: http://works.bepress.com/tjalling_ypma/17/