On a Generalisation of Obreshkoff-Ehrlich Method for Simultaneous Extraction of All Roots of Polynomials Over an Arbitrary Chebyshev System
arXiv:math/0104235
Abstract
New modifications of the methods for simultaneous extraction of all roots of polynomials over an arbitrary Chebyshev system are elaborated. A cubic convergence of iterations is proved. The method presented is a generalisation of the classical methods of Obreshkoff and Ehrlich for simultaneous seeking of all roots of algebraic equations. Numerical examples are provided.
4 pages