Eigenvalues of a real supersymmetric tensor
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Publication:2456607
DOI10.1016/j.jsc.2005.05.007zbMath1125.15014OpenAlexW2090208105MaRDI QIDQ2456607
Publication date: 19 October 2007
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jsc.2005.05.007
Determinants, permanents, traces, other special matrix functions (15A15) Vector and tensor algebra, theory of invariants (15A72) Eigenvalues, singular values, and eigenvectors (15A18)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multivariate polynomial minimization and its application in signal processing
- On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors
- Positivity and nonnegativity conditions of a quartic equation and related problems
- Output feedback stabilization and related problems-solution via decision methods
- Comments on "A procedure for the positive definiteness of forms of even order"
- A procedure for the positive definiteness of forms of even order
- Comments on "Explicit criterion for the positive definiteness of a general quartic form"
- Algorithms in invariant theory
- Explicit formulas for the multivariate resultant.
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