<p>In this paper, we aim to present an Einstein product-based framework for developing the recent tensorial extrapolation methods TG-MPE and TG-RRE, dedicated to accelerating the convergence of multidimensional sequences. The proposed framework allows us to analyze the convergence and consistency of these methods. A unified algorithm is proposed for their implementation. Theoretical results are proven, and some numerical experiments are considered to illustrate the acceleration effect of the developed methods.</p>

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Einstien-multidimensional extrapolation methods

  • Abdeslem Hafid Bentbib,
  • Khalide Jbilou,
  • Ridwane Tahiri

摘要

In this paper, we aim to present an Einstein product-based framework for developing the recent tensorial extrapolation methods TG-MPE and TG-RRE, dedicated to accelerating the convergence of multidimensional sequences. The proposed framework allows us to analyze the convergence and consistency of these methods. A unified algorithm is proposed for their implementation. Theoretical results are proven, and some numerical experiments are considered to illustrate the acceleration effect of the developed methods.