Open AccessOn the Complex Dynamics of Continued and Discrete Cauchy’s Method
Author(s) -
Mohamed Lamine Sahari
Publication year - 2015
Publication title -
journal of nonlinear dynamics
Language(s) - English
Resource type - Journals
eISSN - 2356-7503
pISSN - 2314-6893
DOI - 10.1155/2015/162818
Subject(s) - cauchy distribution , algorithm , computer science , artificial intelligence , mathematics , statistics
Let p be a complex polynomial of fixed degree n. In this paper we show that Cauchy’s method may fail to find all zeros of p for any initial guess z0 lying in the complex plane and we propose several ways to find all zeros of a given polynomial using scaled Cauchy’s methods
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