Q张量元组到多项式互补问题

IF 0.9 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2025-04-16 DOI:10.1016/j.orl.2025.107297

Tongtong Shang , Wensheng Jia

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引用次数: 0

摘要

本文的目标是引入一类新的结构化张量元组，称为q张量元组，它与多项式互补问题的解有关。讨论了q张量元组的一些特征。进一步，利用非负q张量元组研究了相应多项式互补问题解的唯一性。给出了至少包含两个非零分量的多项式互补问题的非零解的一个充分条件。

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Q tensor tuples to polynomial complementarity problems

The goal of this paper is to introduce a new class of structured tensor tuples, called Q-tensor tuple, which is associated with the solution of polynomial complementarity problems. Some characterizations of Q-tensor tuple are discussed. Furthermore, the uniqueness of the solution to the corresponding polynomial complementarity problems is investigated with a nonnegative Q-tensor tuple. A sufficient condition is given for the nonzero solution of the corresponding polynomial complementarity problem containing at least two nonzero components.

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来源期刊

Operations Research Letters 管理科学-运筹学与管理科学

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

期刊介绍： Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.