NILAI AWAL PADA METODE SECANT YANG DIMODIFIKASI DALAM PENENTUAN AKAR GANDA PERSAMAAN NON LINEAR

Patrisius Batarius; Alfry Aristo J. Sinlae

doi:10.33557/jurnalmatrik.v21i1.516

Patrisius Batarius Universitas Katolik Widya Mandira
Alfry Aristo J. Sinlae Universitas Katolik Widya Mandira

DOI: https://doi.org/10.33557/jurnalmatrik.v21i1.516

Keywords: The Secant Method, The Modified Form, Twin Roots

Abstract

Determining the root of an equation means making the equation equal zero, (f (f) = 0). In engineering, there are often complex mathematical equations. With the numerical method approach, the equation can be searching for the value of the equation root. However, to find a double root approach with several numerical methods such as the bisection method, regulatory method, Newton-Raphson method, and Secant method, it is not efficient in determining multiple roots. This study aims to determine the roots of non-linear equations that have multiple roots using the modified Secant method. Besides knowing the effect of determining the initial value for the Secant method that is modifying in determining the non-linear root of persistence that has multiple roots. Comparisons were also make to other numerical methods in determining twin roots with the modified Secant method. A comparison is done to determine the initial value used. Simulations are performing on equations that have one single root and two or more double roots.

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