Using Constrained Optimization to Find Real Roots of Polynomial(RRP)

Theory of Approximation and Applications

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 23 آذر 1401

نوع مقاله: Research Articles

نویسندگان

Hossein Jafari^{* 1}؛ Mohammad Ehsanifar²

¹Young Researchers and Elite Club, ArakBranch, Islamic Azad University,Arak, Iran.

²Department of Industrial Engineering, Islamic Azad University of Arak, Arak, Iran.

چکیده

The roots of a polynomial have many applications in various sciences. If the polynomial under study has a degree of 4 or more, it will be impossible to find its roots through the coefficients. In this situation, most researchers use numerical methods to find the roots. The purpose of this research is to introduce a relatively simple method for calculating the real roots of a polynomial. In fact, the proposed approach emphasizes the ability of operation research science in the area of finding roots. In the end, some numerical examples are solved with the help of lingo software to better understand the proposed method. The results indicated that the proposed method is remarkably effective in finding the roots of a polynomial.

کلیدواژه‌ها

Nonlinear Programming؛ Operation Research؛ Optimization؛ Polynomial؛ Lingo Software