基于广义耦合西尔维斯特张量方程张量格式的无移位准最小残差法

IF 1.4 2区数学 Q1 MATHEMATICS

Calcolo Pub Date : 2024-06-25 DOI:10.1007/s10092-024-00592-2

Mohammad Mahdi Izadkhah

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引用次数: 0

摘要

本文介绍了求解广义耦合西尔维斯特张量方程的无换位准最小残差（TFQMR）方法的扩展。新算法基于 TFQMR 过程的张量格式。我们分析了该方法的收敛行为，并根据算法计算的特定参数，提出了该方法的残差规范约束。数值实验证明了新方法的效率，并证实了理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Transpose-free quasi-minimal residual method based on tensor format for generalized coupled sylvester tensor equations

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Transpose-free quasi-minimal residual method based on tensor format for generalized coupled sylvester tensor equations

This paper presents an extension of the transpose-free quasi-minimal residual (TFQMR) method for solving the generalized coupled Sylvester tensor equations. The new algorithm is based on the tensor format of the TFQMR process. We analyze the convergence behavior of this method and present a bound for the residual norm of the method depending on the specific parameter computed by the algorithm. The numerical experiments demonstrate the efficiency of the new method and confirm the theoretical results.

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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.