Einstien-multidimensional extrapolation methods
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.