Tensor convolutions and Hankel tensors

DOI10.1007/s11464-017-0666-8zbMath1394.15018OpenAlexW2765331327WikidataQ114222308 ScholiaQ114222308MaRDI QIDQ721460

Yiran Xu, Changqing Xu

Publication date: 19 July 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-017-0666-8

zbMATH Keywords

tensorconvolutionsymmetric tensorHankel tensor

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Multilinear algebra, tensor calculus (15A69)

Related Items (1)

Fourier matrices and Fourier tensors

Cites Work

• Positive semi-definiteness and sum-of-squares property of fourth order four dimensional Hankel tensors
• Positive semi-definiteness of generalized anti-circulant tensors
• Symmetric nonnegative tensors and copositive tensors
• Inheritance properties and sum-of-squares decomposition of Hankel tensors: theory and algorithms
• Positive definite Hankel matrices of minimal condition
• Hankel tensors: associated Hankel matrices and Vandermonde decomposition
• Computing extreme eigenvalues of large scale Hankel tensors
• Eigenvalues of a real supersymmetric tensor
• Hankel Matrix Rank Minimization with Applications to System Identification and Realization
• Exponential data fitting using multilinear algebra: the single‐channel and multi‐channel case
• Symmetric Tensors and Symmetric Tensor Rank
• New Classes of Positive Semi-Definite Hankel Tensors
• Most Tensor Problems Are NP-Hard
• Fast Hankel tensor–vector product and its application to exponential data fitting
• Hankel tensors, Vandermonde tensors and their positivities

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