Volume : VII, Issue : IV, April - 2017

ON SOME NUMERICAL EXPERIMENTS WITH WEIERSTRASS ITERATIVE METHOD

Maria T. Vasileva

Abstract :

 One of the more effective methods for the simultaneous approximation of the roots of a polynomial is the Weierstrass method. In 2016, Proinov provide a detailed convergence analysis of the method and his results improve and generalize existing ones in the literature. To show some practical applications of Weierstrass iterative method, we develop code using computational system Wolfram Mathematica and Proinov’s semilocal convergence theorem. Several numerical examples are provided. Furthermore, we give strong mathematical proof of experiment of Dochev and Byrnev (1964) and make a modification of their experiment with complex polynomial. < clear="all" style="page–eak–before:always; mso–eak–type:section–eak" />

Keywords :

Article: Download PDF   DOI : 10.36106/ijar  

Cite This Article:

Maria T. Vasileva, ON SOME NUMERICAL EXPERIMENTS WITH WEIERSTRASS ITERATIVE METHOD, INDIAN JOURNAL OF APPLIED RESEARCH : Volume‾7 | Issue‾4 | April-2017

Number of Downloads : 451

References :