Empirical versus asymptotic rate of convergence of a class of methods for solving a polynomial equation
[摘要] Given alternative methods with identical order of convergence for solving the polynomial equation f(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.
[发布日期] 1997-09-15 [发布机构]
[效力级别] Proceedings Paper [学科分类]
[关键词] polynomial equation;algebraic equation;asymptotic rate of convergence;Newton-Raphson [时效性]
