弱本质不可还原非负张量谱半径的算法

IF 1.4 2区数学 Q1 MATHEMATICS

Calcolo Pub Date : 2024-01-02 DOI:10.1007/s10092-023-00561-1

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引用次数: 0

摘要

摘要本文首先定义了弱本质不可还原非负张量，并统一了本质正张量、弱正张量和广义弱正张量的定义。然后给出了一种基于隐式平移变换求弱本质不可还原非负张量谱半径的算法，并利用矩阵的有向图分析了算法的线性收敛条件，最后利用数值实例比较了相关算法的计算效率。

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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An algorithm for the spectral radius of weakly essentially irreducible nonnegative tensors

Abstract

In this paper, we first define the weakly essentially irreducible nonnegative tensors and unify the definitions of essentially positive tensors, weakly positive tensors and generalized weakly positive tensors. Then an algorithm to find the spectral radius of weakly essentially irreducible nonnegative tensors is given based on the implicit translational transformation, and the linear convergence condition of the algorithm is analyzed using the directed graph of the matrix, and finally the computational efficiency of the related algorithms is compared using numerical examples.

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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.