Iterative methods are algorithms that solve problems by repeatedly refining a solution until a desired level of accuracy is reached. There are several synonyms for the term "iterative method" that capture the same meaning: iterative algorithm, iterative procedure, iterative technique, and iterative process. These terms are widely used in different fields such as mathematics, physics, computer science, and engineering. Iterative methods are particularly useful when the problem at hand cannot be solved directly and involves a complex calculation. They are also important in optimization problems where they help to find the optimal solution by making small adjustments until the desired objective is reached.