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Polynomial Extrapolation to Accelerate Fixed Point Iterations
Jan de Leeuw, Department of Statistics, UCLA
ABSTRACT: The paper discusses iterative methods for linear systems and various ways to accelerate their convergence. The results are then applied to nonlinear fixed point iterations, in particular to multidimensional scaling. The purpose of the paper is didactic and it contains absolutely nothing that is original. In fact, it closely follows Sidi [2008]. We do provide code in R.
SUGGESTED CITATION: Jan de Leeuw,
"Polynomial Extrapolation to Accelerate Fixed Point Iterations"
(September 9, 2008).
Department of Statistics, UCLA.
Department of Statistics Papers.
Paper 2008090901.
http://repositories.cdlib.org/uclastat/papers/2008090901
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