Finiteness properties of the solution sets for horizontal tensor complementarity problems via structured tensor pair

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-07-01 DOI:10.1016/j.cam.2025.116873

Xue-liu Li , Guo-ji Tang

引用次数: 0

Abstract

Recently, the horizontal tensor complementarity problem (HTCP) has been introduced in the literature, which is a generalization of horizontal linear complementarity problem (HLCP) and tensor complementarity problem (TCP). The goal of the present paper is to investigate the finiteness property of the solution set for HTCP. To that end, a class of structured tensor pair, called non-degenerate tensor pair, is introduced and the relations between it and non-degenerate tensor are discussed. Then, based on the introduced structured tensor pair, the finiteness property of the solution set for HTCP is investigated. The results presented in this paper are extensions of those due to Palpandi–Sharma from TCP to HTCP.

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基于结构张量对的水平张量互补问题解集的有限性

近年来，文献中引入了水平张量互补问题（HTCP），它是水平线性互补问题（HLCP）和张量互补问题（TCP）的推广。本文的目的是研究HTCP问题解集的有限性质。为此，引入了一类结构化张量对——非简并张量对，并讨论了它与非简并张量的关系。然后，基于引入的结构化张量对，研究了HTCP解集的有限性。本文给出的结果是将Palpandi-Sharma的结果从TCP扩展到http。

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

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.