What is an iterative method used for in numerical computations?

An iterative method is a numerical technique often employed to solve equations by progressively refining initial guesses. This approach is particularly useful when dealing with complex functions where obtaining an exact analytical solution is either impractical or impossible.

In practice, the method starts with an initial estimate of the solution and applies a systematic process to improve this guess with each iteration. The fundamental idea is to move closer to the true solution through a series of approximations. Each iteration utilizes the previous result, applying mathematical rules or formulas until the solution converges within a desired level of accuracy.

This method is especially beneficial for solving nonlinear equations, where traditional methods may struggle. It can also be applied in various fields including engineering, physics, and computer science, making it a versatile approach in numerical computations.

While other options mention eliminating errors, creating graphical representations, or finding exact solutions, these are not the primary functions of iterative methods in computations. The defining characteristic of iterative methods lies in their ability to refine guesses to approach a solution rather than seeking exact analytical resolutions or addressing computational errors directly.