The Exact Root Algorithm for Computing the Real Roots of an Nth Degree Polynomial | Science Publications

Journal of Mathematics and Statistics

V. I. Idoko¹  E. A. Adebile¹ 

关键词: Algorithm;    computational cost;    nth degree polynomial;    real roots;   

DOI  :  10.3844/jmssp.2010.226.232

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem statement: The need to find an efficient and reliable algorithm for computing the exact real roots of the steady-state polynomial encountered in the investigation of temperature profiles in biological tissues during Microwave heating and other similar cases as found in the literature gave rise to this study. Approach: The algorithm (simply called ERA-Exact Root Algorithm) adopted polynomial deflation technique and uses Newton-Raphson iterative procedure though with a modified termination rule. A general formula was specified for finding the initial approximation so as to overcome the limitation of local convergence which is inherent in Newton

【 授权许可】

Unknown