iterative methods
Iterative methods are problem-solving approaches that involve repeating a set of steps to gradually improve an outcome or reach a solution. Instead of trying to find an answer all at once, these methods start with an initial guess and refine it through successive approximations. Each iteration involves using the previous result to inform the next one, making adjustments based on what was learned. This process continues until the solution is sufficiently accurate or meets a predetermined criterion. Commonly used in mathematics, engineering, and computer science, iterative methods are effective for problems that are complex or difficult to solve directly.
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Iterative methods are problem-solving techniques that repeatedly refine a solution through a series of steps. Think of them like fine-tuning a recipe: you start with an initial version, taste it, and adjust the ingredients based on the results. Each iteration aims to improve the outcome until it meets your desired goal. These methods are widely used in mathematics, computer science, and engineering for tasks like finding roots of equations or optimizing processes. By gradually honing in on the best solution, iterative methods can effectively tackle complex problems where a direct approach may be challenging.