Canonical forms of 2 × 2 × 2 and 2 × 2 × 2 × 2 symmetric tensors over prime fields

DOI10.1080/03081087.2013.811583zbMath1302.65109arXiv1209.5021OpenAlexW2092684478MaRDI QIDQ2926016

Stavros Georgios Stavrou

Publication date: 29 October 2014

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

Full work available at URL: https://arxiv.org/abs/1209.5021

zbMATH Keywords

numerical examplescanonical formsfinite fieldsgroup actionscomputer algebratensor ranksymmetric tensor rankmultidimensional arraysouter product decompositionsymmetric outer product decomposition

Mathematics Subject Classification ID

Related Items (2)

The tensor rank of semifields of order 16 and 81 ⋮ The symmetric rank and decomposition of \(m\)-order \(n\)-dimensional \((n = 2,3,4)\) symmetric tensors over the binary field

Cites Work

• Unnamed Item
• Tensor Decompositions and Applications
• Decomposition of homogeneous polynomials with low rank
• Canonical forms for symmetric tensors
• On the ranks and border ranks of symmetric tensors
• Kruskal's polynomial for \(2 \times{}2 \times{}2\) arrays and a generalization to \(2 \times{}n \times{}n\) arrays
• Apolarity and canonical forms for homogeneous polynomials
• On apolarity and generic canonical forms
• Canonical forms of two by two by two matrices
• Hyperdeterminants
• The Hilbert series of measures of entanglement for 4 qubits
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• Invariants of binary bilinear forms modulo two
• The hyperdeterminant and triangulations of the 4-cube
• A complete set of covariants of the four qubit system
• On canonical binary trilinear forms
• Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
• Blind Identification and Source Separation in 2<tex>$,times,$</tex>3 Under-Determined Mixtures
• Applied Multiway Data Analysis
• On the geometry of four-qubit invariants
• Real Canonical Binary Trilinear Forms

This page was built for publication: Canonical forms of 2 × 2 × 2 and 2 × 2 × 2 × 2 symmetric tensors over prime fields