What is the concept of iterative methods in Numerical Analysis?

Numerical Analysis Questions



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What is the concept of iterative methods in Numerical Analysis?

The concept of iterative methods in Numerical Analysis involves using a sequence of repeated calculations to approximate the solution to a mathematical problem. These methods start with an initial guess and then iteratively refine the solution until a desired level of accuracy is achieved. Iterative methods are particularly useful for solving complex problems that cannot be solved analytically or with direct methods. They are commonly used in solving systems of linear equations, finding roots of equations, and solving optimization problems.