What is the concept of iterative refinement in Numerical Analysis?

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What is the concept of iterative refinement in Numerical Analysis?

The concept of iterative refinement in Numerical Analysis refers to the process of improving the accuracy of a numerical solution by iteratively applying a more accurate method or algorithm. It involves starting with an initial approximation and then repeatedly refining it through a series of iterations until a desired level of accuracy is achieved. This technique is commonly used when solving systems of linear equations or finding roots of equations, where the initial approximation may not be sufficiently accurate. By iteratively refining the solution, the error is reduced, leading to a more accurate and reliable result.