Integration of Monte Carlo and Hybrid Trisection-False Position Methods for Global Root-Finding of Nonlinear Equations

https://doi.org/10.65770/SAMW3585 ABSTRACT Root-finding for nonlinear equations is a fundamental problem in numerical analysis. Classical bracketing methods, such as the bisection and false position methods, exhibit strong stability but rely heavily on the selection of an initial interval that contains a root. This study proposes an integration of the Monte Carlo method and a hybrid […] The post…