This document introduces the MATLAB codes for implementing the bisection-based method (Bisec-BiO) for the simple bilevel optimization problem, which is presented in the article "Near-Optimal Convex ...

Run the desired root finding method script (bisectionMethod.m, newtonsMethod.m, or secantMethod.m) in MATLAB. Modify the f.m and dfdx.m files to define your specific function and its derivative.

Many authors suggested methods to solve nonlinear equations. Each of these methods has its advantages and disadvantages. In this work, we chose some methods with low cost and high accuracy such as ...

In this paper, a modification of the bisection simplex method is made for more general purpose use. Organized in an alternative simpler form, the modified version exploits information of the optimal ...

The bisection method is the simplest of the root finding methods. When given this problem from scratch this is the method that most people come up with. We still have the question of how many times to ...