Success-Failure Method for Function Minimization Program

This program implements the Success-Failure Method to find the minimum value of a function. This optimization approach is often crucial for solving important engineering problems, such as optimizing production processes or designing efficient engineering systems. The Success-Failure Method is a widely-used optimization technique particularly suitable for problems without analytical solutions. The main program function implements this algorithm with careful attention to convergence and efficiency. The implementation includes step size adaptation logic where successful iterations increase the step size while failed iterations decrease it, ensuring progressive refinement towards the minimum. We have prioritized both computational efficiency and accuracy in our implementation to ensure reliable minimum value results. The program structure features clear function boundaries, error handling mechanisms, and convergence criteria checks to maintain robustness throughout the optimization process.