MATLAB Implementation of Hooke-Jeeves Method for Function Minimization

This program is implemented in MATLAB and designed to find function minimum points using the Hooke-Jeeves pattern search method. This derivative-free algorithm employs exploratory moves and pattern moves to efficiently converge toward optimal solutions through iterative improvements. The implementation includes careful consideration of multiple algorithmic factors such as initial point selection, step size control, and convergence criteria to ensure stability and reliable performance. Key features include adaptive step size adjustment using a reduction factor and termination conditions based on function improvement thresholds. The code structure incorporates modular functions for exploratory moves, pattern moves, and result logging. Additionally, the program includes comprehensive output capabilities displaying iteration progress, final coordinates, function values, and convergence status, providing users with clear visibility into the optimization process. This implementation represents an efficient, stable, and user-friendly tool for numerical function minimization.