A general preconditioner for a class of vertical tensor complementarity problems

Shi-Liang Wu (), Mei Long () and Cui-Xia Li ()
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Shi-Liang Wu: Yunnan Normal University
Mei Long: Yunnan Normal University
Cui-Xia Li: Yunnan Normal University

Computational Optimization and Applications, 2025, vol. 92, issue 1, No 11, 345-373

Abstract: Abstract In this paper, based on the methodology of the preconditioning technique, our objective is devoted to solving a class of vertical tensor complementarity problems (VTCP) by the preconditioned fixed point method based on tensor splitting. We firstly propose a general preconditioner based on the amount of negative components of special vector involved. Secondly, some convergence and comparison theorems of the proposed method are given. Thirdly, we analyze the influence of the parameter on the convergence rate of the proposed method. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

Keywords: Vertical tensor complementarity problem; Preconditioned fixed point method; Convergence; 90C33; 65F10; 65F50 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10589-025-00700-0

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