Hosvd-tmpe: an extrapolation method for multidimensional sequences

IF 1.4 2区数学 Q1 MATHEMATICS

Calcolo Pub Date : 2024-06-03 DOI:10.1007/s10092-024-00582-4

Abdeslem Hafid Bentbib, Khalid Jbilou, Ridwane Tahiri

引用次数: 0

Abstract

Accelerating slowly convergent sequences is one of the main purposes of extrapolation methods. In this paper, we present a new tensor polynomial extrapolation method, which is based on a modified minimisation problem and some ideas leading to the recent Tensor Global Minimal Extrapolation Method (TG-MPE). We discuss the application of our method to fixed-point iterative process. An efficient algorithm via the higher order Singular Value Decomposition (HOSVD) is proposed for its implementation. The numerical tests show clearly the effectiveness and performance of the proposed method.

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Hosvd-tmpe：多维序列的外推法

加速缓慢收敛序列是外推法的主要目的之一。在本文中，我们提出了一种新的张量多项式外推法，它是基于一个修正的最小化问题和最近的张量全局最小外推法（TG-MPE）的一些思想。我们讨论了我们的方法在定点迭代过程中的应用。我们提出了一种通过高阶奇异值分解（HOSVD）实现的高效算法。数值测试清楚地表明了所提方法的有效性和性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Calcolo 数学-数学

CiteScore

2.40

自引率

11.80%

发文量

审稿时长

>12 weeks

期刊介绍： Calcolo is a quarterly of the Italian National Research Council, under the direction of the Institute for Informatics and Telematics in Pisa. Calcolo publishes original contributions in English on Numerical Analysis and its Applications, and on the Theory of Computation. The main focus of the journal is on Numerical Linear Algebra, Approximation Theory and its Applications, Numerical Solution of Differential and Integral Equations, Computational Complexity, Algorithmics, Mathematical Aspects of Computer Science, Optimization Theory. Expository papers will also appear from time to time as an introduction to emerging topics in one of the above mentioned fields. There will be a "Report" section, with abstracts of PhD Theses, news and reports from conferences and book reviews. All submissions will be carefully refereed.