Real and complex rank for real symmetric tensors with low ranks

DOI10.1155/2013/794054zbMath1327.14232arXiv1303.2457OpenAlexW2058796903WikidataQ58920128 ScholiaQ58920128MaRDI QIDQ895949

Edoardo Ballico, Alessandra Bernardi

Publication date: 11 December 2015

Published in: Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2457

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Positive matrices and their generalizations; cones of matrices (15B48) Projective techniques in algebraic geometry (14N05)

Related Items (3)

On the typical rank of real polynomials (or symmetric tensors) with a fixed border rank ⋮ Canonical forms of order-k(k= 2, 3, 4) symmetric tensors of format 3 × … × 3 over prime fields ⋮ Semialgebraic sets and real binary forms decompositions

Cites Work

• The dual minimum distance of arbitrary-dimensional algebraic-geometric codes
• Decomposition of homogeneous polynomials with low rank
• Computing symmetric rank for symmetric tensors
• On the maximum rank of a real binary form
• Tensor-based techniques for the blind separation of DS-CDMA signals
• Rank and optimal computation of generic tensors
• Phylogenetic ideals and varieties for the general Markov model
• Algebraic geometry tools for the study of entanglement: an application to spin squeezed states
• On the typical rank of real binary forms
• Lectures on Quantum Information

This page was built for publication: Real and complex rank for real symmetric tensors with low ranks