Note on \(Z \)-eigenvalue inclusion theorems for tensors
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Publication:2031366
DOI10.3934/jimo.2019129zbMath1474.15028OpenAlexW2981760005MaRDI QIDQ2031366
Chaoqian Li, Yajun Liu, Yao-Tang Li
Publication date: 9 June 2021
Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jimo.2019129
Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)
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Cites Work
- Unnamed Item
- Some variational principles for \(Z\)-eigenvalues of nonnegative tensors
- \(Z\)-eigenpair bounds for an irreducible nonnegative tensor
- \(Z\)-eigenvalue inclusion theorems for tensors
- A new Brauer-type \(Z\)-eigenvalue inclusion set for tensors
- Z-eigenvalue methods for a global polynomial optimization problem
- Brauer-type eigenvalue inclusion sets of stochastic/irreducible tensors and positive definiteness of tensors
- Criterions for the positive definiteness of real supersymmetric tensors
- New sufficient condition for the positive definiteness of fourth order tensors
- Upper bound for the largest \(Z\)-eigenvalue of positive tensors
- Eigenvalues of a real supersymmetric tensor
- Rank and eigenvalues of a supersymmetric tensor, the multivariate homogeneous polynomial and the algebraic hypersurface it defines
- On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors
- The Z -eigenvalues of a symmetric tensor and its application to spectral hypergraph theory
- Shifted Power Method for Computing Tensor Eigenpairs
- Finding the Largest Eigenvalue of a Nonnegative Tensor
- An Eigenvalue Method for Testing Positive Definiteness of a Multivariate Form
- New eigenvalue inclusion sets for tensors
- Tensor Analysis
- Spectral Properties of Positively Homogeneous Operators Induced by Higher Order Tensors
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