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Some applications of nonlinear convergence accelerators

✍ Scribed by E. J. Weniger; J. Grotendorst; E. O. Steinborn

Book ID
104581611
Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
469 KB
Volume
28
Category
Article
ISSN
0020-7608

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The underlying theory of vector sequence extrapolation methods for linear and nonlinear problems is examined. It is shown that nonlinearity limits savings in total number of iterations to \(50 \%\) for strongly nonlinear problems when linear-based extrapolation methods are used. In support of this c