The E-eigenvectors of tensors

DOI10.1080/03081087.2013.828721zbMath1308.15007arXiv1303.2840OpenAlexW2112334138MaRDI QIDQ2929479

Liqun Qi, Sheng-Long Hu

Publication date: 12 November 2014

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2840

zbMATH Keywords

eigenvectorstensors

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Eigenvalues, singular values, and eigenvectors (15A18) Projective techniques in algebraic geometry (14N05)

Related Items (8)

Tensors with eigenvectors in a given subspace ⋮ The critical space for orthogonally invariant varieties ⋮ Certifying the global optimality of quartic minimization over the sphere ⋮ Riemannian conjugate gradient methods for computing the extreme eigenvalues of symmetric tensors ⋮ Generalized Vandermonde tensors ⋮ Hankel tensors, Vandermonde tensors and their positivities ⋮ Solving tensor E-eigenvalue problem faster ⋮ Nondegeneracy of eigenvectors and singular vector tuples of tensors

Cites Work

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• E-characteristic polynomials of tensors
• Eigenvectors of tensors and algorithms for Waring decomposition
• The E-characteristic polynomial of a tensor of dimension 2
• Eigenvalues and invariants of tensors
• The degree of the E-characteristic polynomial of an even order tensor
• Vector bundles on complex projective spaces
• The invariant theory of \(n\times n\) matrices
• Algebraic connectivity of an even uniform hypergraph
• On determinants and eigenvalue theory of tensors
• The number of eigenvalues of a tensor
• Algebraic invariants for a set of matrices
• Eigenvalues of a real supersymmetric tensor
• Matrices with eigenvectors in a given subspace
• On Compact Complex Analytic Varieties

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