Bound for the largest singular value of nonnegative rectangular tensors
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Publication:330343
DOI10.1515/math-2016-0068zbMath1352.15021OpenAlexW2532642258MaRDI QIDQ330343
Yan-Min Liu, Hua Ke, Jun He, Xiang Li, Jun-kang Tian
Publication date: 25 October 2016
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2016-0068
Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)
Related Items (6)
Singular value inclusion sets for rectangular tensors ⋮ New bounds for the minimum eigenvalue of \(\mathcal M\)-tensors ⋮ A new \(S\)-type upper bound for the largest singular value of nonnegative rectangular tensors ⋮ Z-singular value and Z-singular value inclusion sets for tensors ⋮ Two new singular value inclusion sets for rectangular tensors ⋮ An \(S\)-type singular value inclusion set for rectangular tensors
Cites Work
- Some variational principles for \(Z\)-eigenvalues of nonnegative tensors
- \(Z\)-eigenpair bounds for an irreducible nonnegative tensor
- Singular values of nonnegative rectangular tensors
- Eigenvalues and invariants of tensors
- Perron-Frobenius theorem for nonnegative tensors
- Singular values of a real rectangular tensor
- Perron-Frobenius theorem for nonnegative multilinear forms and extensions
- Convergence of an algorithm for the largest singular value of a nonnegative rectangular tensor
- Upper bound for the largest \(Z\)-eigenvalue of positive tensors
- A new eigenvalue inclusion set for tensors and its applications
- Eigenvalues of a real supersymmetric tensor
- On eigenvalue problems of real symmetric tensors
- Further Results for Perron–Frobenius Theorem for Nonnegative Tensors
- Further Results for Perron–Frobenius Theorem for Nonnegative Tensors II
- Finding the Largest Eigenvalue of a Nonnegative Tensor
- New eigenvalue inclusion sets for tensors
- Spectral Properties of Positively Homogeneous Operators Induced by Higher Order Tensors
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