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About: Modified Richardson iteration     Goto   Sponge   NotDistinct   Permalink

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Modified Richardson iteration is an iterative method for solving a system of linear equations. Richardson iteration was proposed by Lewis Fry Richardson in his work dated 1910. It is similar to the Jacobi and Gauss–Seidel method. We seek the solution to a set of linear equations, expressed in matrix terms as The Richardson iteration is where is a scalar parameter that has to be chosen such that the sequence converges. It is easy to see that the method has the correct fixed points, because if it converges, then and has to approximate a solution of .