Optimization Letters
A linearized method for solving tensor complementarity problems with implicit Z-tensors
Publication type: Journal Article
Publication date: 2023-07-16
Journal:
Optimization Letters
Q2
Q4
SJR: 0.723
CiteScore: 3.4
Impact factor: 1.3
ISSN: 18624472, 18624480
Control and Optimization
Business, Management and Accounting (miscellaneous)
Abstract
In this paper, some properties of implicit Z-tensors are studied, and it is proved that an implicit Z-tensor is a nonsingular implicit M-tensor if and only if it is semi-positive. Then, a linearized method to solve tensor complementarity problem with an implicit Z-tensor is presented. Under the condition that the feasible set is nonempty, it is proved that the iterative sequence generated by the the method is monotonic convergence, which weakens the convergence condition of the related method in the literature. Final numerical experiments demonstrate the effectiveness of the method.
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Zheng X., Wang Yong, Huang Z. A linearized method for solving tensor complementarity problems with implicit Z-tensors // Optimization Letters. 2023.
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Zheng X., Wang Yong, Huang Z. A linearized method for solving tensor complementarity problems with implicit Z-tensors // Optimization Letters. 2023.
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TY - JOUR
DO - 10.1007/s11590-023-02043-3
UR - https://doi.org/10.1007/s11590-023-02043-3
TI - A linearized method for solving tensor complementarity problems with implicit Z-tensors
T2 - Optimization Letters
AU - Zheng, Xionghui
AU - Wang Yong
AU - Huang, Zheng-Hai
PY - 2023
DA - 2023/07/16
PB - Springer Nature
SN - 1862-4472
SN - 1862-4480
ER -
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@article{2023_Zheng,
author = {Xionghui Zheng and Wang Yong and Zheng-Hai Huang},
title = {A linearized method for solving tensor complementarity problems with implicit Z-tensors},
journal = {Optimization Letters},
year = {2023},
publisher = {Springer Nature},
month = {jul},
url = {https://doi.org/10.1007/s11590-023-02043-3},
doi = {10.1007/s11590-023-02043-3}
}