On numerical stability of continued fractions

On numerical stability of continued fractions

The paper considers the numerical stability of the backward recurrence algorithm (BR-algorithm) for computing approximants of the continued fraction with complex elements. The new method establishes sufficient conditions for the numerical stability of this algorithm and the error bounds of the calcu...

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Bibliographic Details
Main Authors: V. Hladun, V. Кravtsiv, M. Dmytryshyn, R. Rusyn
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2024-12-01
Series:Математичні Студії
Subjects:
continued fraction
numerical approximation
roundoff error
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/558
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