Description: Ternary search is an optimization algorithm used to find the maximum or minimum of a unimodal function within a given interval. This method is based on dividing the search space into three parts, unlike binary search which divides it into two. In each iteration, the algorithm evaluates the function at two points within the interval and uses these values to determine in which subinterval the desired extremum lies. This approach allows for a more efficient reduction of the search space, as one of the three segments is eliminated at each step, potentially leading to faster convergence towards the optimum. Ternary search is particularly useful in problems where the function is continuous and unimodal, meaning it has a single maximum or minimum within the considered interval. Its simplicity and effectiveness make it a valuable tool in the optimization of mathematical models and in solving problems in engineering and applied sciences.
