A relation between successive approximations and continued fractions for quadratic irrationals: rates of convergence

We find the rates of convergence of sequences of rational convergents for continued fractions of algebraic numbers of degree 2, the quadratic irrationals.

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Veröffentlicht in:Complex variables, theory & application theory & application, 1998-09, Vol.36 (1), p.37-43
1. Verfasser: Palmore, Julian
Format: Artikel
Sprache:eng
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Zusammenfassung:We find the rates of convergence of sequences of rational convergents for continued fractions of algebraic numbers of degree 2, the quadratic irrationals.
ISSN:0278-1077
1563-5066
DOI:10.1080/17476939808815098