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A note on fixed-point continued fractions and Aitken's \(\Delta ^ 2\)- method - MaRDI portal

A note on fixed-point continued fractions and Aitken's \(\Delta ^ 2\)- method (Q759926)

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scientific article; zbMATH DE number 3882928
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A note on fixed-point continued fractions and Aitken's \(\Delta ^ 2\)- method
scientific article; zbMATH DE number 3882928

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    A note on fixed-point continued fractions and Aitken's \(\Delta ^ 2\)- method (English)
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    1984
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    Limit periodic continued fractions can be accelerated, and, in some instances, analytically extended by the use of certain modifying factors. This procedure is actually Aitken's \(\Delta^ 2\)-method when applied to equivalent continued fractions/power series. Both acceleration and continuation results are given.
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    Aitken's method
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    Limit periodic continued fractions
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    acceleration
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    continuation
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