Combinatorial methods for the spectral \(p\)-norm of hypermatrices

DOI10.1016/j.laa.2017.04.023zbMath1365.05183arXiv1605.08665OpenAlexW2962952744MaRDI QIDQ2361565

Yanyan Li

Publication date: 30 June 2017

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

Full work available at URL: https://arxiv.org/abs/1605.08665

zbMATH Keywords

hypergraphspectral norm\(p\)-spectral radiushypermatrixnonnegative hypermatrixSchur's bound

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Multilinear algebra, tensor calculus (15A69)

Related Items (6)

On norm compression inequalities for partitioned block tensors ⋮ The \(\alpha\)-normal labeling for generalized directed uniform hypergraphs ⋮ On the first and second eigenvalue of finite and infinite uniform hypergraphs ⋮ On the irregularity of uniform hypergraphs ⋮ A concise proof to the spectral and nuclear norm bounds through tensor partitions ⋮ On the tensor spectral \(p\)-norm and its dual norm via partitions

Cites Work

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