An improvement of Gargantini's simultaneous inclusion method for polynomial roots by Schröder's correction
A class of new interval methods for the simultaneous inclusion of polynomial roots is presented. The methods are based on Gargantini's method which is accelerated using Schröder's modification of Newton's corrections. The \(R\)-orders of convergence of the new methods are proved to be greater than 3.5. Further more numerical experiments verify a higher computational efficiency than a priori existing algorithms.
simultaneous inclusion of polynomial roots
scientific article; zbMATH DE number 550351
scientific article