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Mathematics of Computation

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Some new convergence acceleration methods


Author: Claude Brezinski
Journal: Math. Comp. 39 (1982), 133-145
MSC: Primary 65B05
DOI: https://doi.org/10.1090/S0025-5718-1982-0658218-6
MathSciNet review: 658218
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Abstract: The E-algorithm is a general extrapolation method which includes most of the sequence transformations actually known. Some new convergence acceleration methods are derived from the E-algorithm by applying the so-called $ \theta $-procedure. The algorithms thus obtained are studied. Some theoretical results are proved and numerical examples are given.


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DOI: https://doi.org/10.1090/S0025-5718-1982-0658218-6
Keywords: Convergence acceleration, sequence transformation, extrapolation
Article copyright: © Copyright 1982 American Mathematical Society

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