Introduction to the Thukral-Determinantal Formula for Accelerating Convergence of Sequence

Rajinder Kumar Thukral
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Rajinder Kumar Thukral: Padé Research Centre, United Kingdom

European Journal of Mathematics and Statistics, 2024, vol. 5, issue 3, 1-8

Abstract: There are two objectives for this paper. Firstly, we shall introduce the Thukral-determinantal formula, and secondly, we shall demonstrate the similarities between the well-established algorithms, namely the Aitkin Δ2 algorithm and the Durbin sequence transformation. In fact, we have found that the solution of the Thukral-determinantal formula is equivalent to the Thukral-sequence transformation formula.

Keywords: Aitkin Δ2 algorithm; Brezinski-Durbin-Redivo-Zaglia sequence transformation; Durbin sequence transformation; Thukraldeterminantal formula (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:5:y:2024:i:3:id:14358

DOI: 10.24018/ejmath.2024.5.3.358

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