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- Minimum_polynomial_extrapolation abstract "In mathematics, minimum polynomial extrapolation is a sequence transformation used for convergence acceleration.While Aitken's method is the most famous, it often fails for vector sequences. An effective method for vector sequences is the minimum polynomial extrapolation. It is usually phrased in terms of the fixed point iteration: Given iterates in , one constructs the matrix whose columns are the differences. Then, one computes the vector where denotes the Moore–Penrose pseudoinverse of . The number 1 is then appended to the end of , and the extrapolated limit iswhere is the matrix whose columns are the iterates starting at 2.The following 4 line MATLAB code segment implements the MPE algorithm:U=x(:,2:end-1)-x(:,1:end-2);c=-pinv(U)*(x(:,end)-x(:,end-1));c(end+1,1)=1;s=(x(:,2:end)*c)/sum(c);".
- Minimum_polynomial_extrapolation wikiPageID "17736482".
- Minimum_polynomial_extrapolation wikiPageRevisionID "538945196".
- Minimum_polynomial_extrapolation hasPhotoCollection Minimum_polynomial_extrapolation.
- Minimum_polynomial_extrapolation subject Category:Numerical_analysis.
- Minimum_polynomial_extrapolation comment "In mathematics, minimum polynomial extrapolation is a sequence transformation used for convergence acceleration.While Aitken's method is the most famous, it often fails for vector sequences. An effective method for vector sequences is the minimum polynomial extrapolation. It is usually phrased in terms of the fixed point iteration: Given iterates in , one constructs the matrix whose columns are the differences. Then, one computes the vector where denotes the Moore–Penrose pseudoinverse of .".
- Minimum_polynomial_extrapolation label "Minimum polynomial extrapolation".
- Minimum_polynomial_extrapolation sameAs m.047byv8.
- Minimum_polynomial_extrapolation sameAs Q6865482.
- Minimum_polynomial_extrapolation sameAs Q6865482.
- Minimum_polynomial_extrapolation wasDerivedFrom Minimum_polynomial_extrapolation?oldid=538945196.
- Minimum_polynomial_extrapolation isPrimaryTopicOf Minimum_polynomial_extrapolation.