In computational mathematics, an iterative method is a mathematical procedure that uses an initial value to generate a sequence of improving approximate solutions for a class of problems, in which the n-th approximation is derived from the previous ones.

What is meant by iteration method?

The Iterative Method is a mathematical way of solving a problem which generates a sequence of approximations. ... The word Iterative or Iteration refers to the technique that solve any linear system problems with successive approximation at each step.

Why iterative method is used?

Numerical Techniques

A major advantage of iterative methods is that roundoff errors are not given a chance to “accumulate,” as they are in Gaussian Elimination and the Gauss-Jordan Method, because each iteration essentially creates a new approximation to the solution.