Original Article
The effect of selection of initial values on finding the root of a multiple roots–polynomial equation
Author(s): Patrisius Batarius*
This study aims to determine the effect of selecting the initial value on the root of a polynomial equation that has multiple roots. There are three methods used, namely the Brent method, the bisection method and the modified secant method. The Brent method is a combination of the bisection method, the IQI (Interval Quadratic Inverse) method and the secant method. Therefore, it is necessary to know the performance of the Brent method in finding the multiple roots of polynomial equations. The search for multiple roots reaches convergence faster when using the modified Newton-Raphson method or the modified secant method. There are 2 types of polynomial equations used. One equation has 3 roots and two of them have multiple roots (multiple roots). One other equation is a polynomial which has 4 equal roots and 3 of them have multiple roots with an odd number of roots. The analysis was carr.. Read More»
DOI:
10.37532/2572-8081.23.7(2).1-7