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PreprintCC BY 4.0arXiv

New Pareto Z-eigenvalue localization theorems for tensors with applications

  • Licai Shao
  • Xingong Zhang
  • Yisheng Song
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Abstract

In this paper, we establish some new localization sets for Pareto Z-eigenvalues of tensor eigenvalue complementarity problems and discuss the relationships among existing ones. As applications, a sufficient condition for the solution existence of the tensor complementarity problem (TCP) and the tensor generalized eigenvalue complementarity problem (TGEiCP) are presented. In addition, this condition is also used to test the vacuum stability of a general scalar potential

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Cite

BibTeXRIS
BibTeX
@misc{shao2026pareto,
  title = {{New Pareto Z-eigenvalue localization theorems for tensors with applications}},
  author = {Licai Shao and Xingong Zhang and Yisheng Song},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.00113},
  eprint = {2610.00113},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.00113},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - New Pareto Z-eigenvalue localization theorems for tensors with applications
AU  - Licai Shao
AU  - Xingong Zhang
AU  - Yisheng Song
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.00113
UR  - https://arxiv.org/abs/2610.00113
AB  - In this paper, we establish some new localization sets for Pareto Z-eigenvalues of tensor eigenvalue complementarity problems and discuss the relationships among existing ones. As applications, a sufficient condition for the solution existence of the tensor complementarity problem (TCP) and the tensor generalized eigenvalue complementarity problem (TGEiCP) are presented. In addition, this condition is also used to test the vacuum stability of a general scalar potential
ER  -