Distribution of the eigenvalues of a random system of homogeneous polynomials

DOI10.1016/j.laa.2016.02.020zbMath1334.15023arXiv1507.02539OpenAlexW2962823186MaRDI QIDQ254895

Paul Breiding, Peter Bürgisser

Publication date: 8 March 2016

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

Full work available at URL: https://arxiv.org/abs/1507.02539

zbMATH Keywords

eigenvalueseigenvalue distributionrandom polynomialscomputational algebraic geometrytensors

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69) Polynomials and rational functions of one complex variable (30C10) Other generalizations of function theory of one complex variable (32A30) Computational aspects in algebraic geometry (14Q99)

Related Items (2)

The Expected Number of Eigenvalues of a Real Gaussian Tensor ⋮ On the discriminant locus of a rank \(n-1\) vector bundle on \(\mathbb{P}^{n-1}\)

Cites Work

• Eigenvalues and invariants of tensors
• The number of eigenvalues of a tensor
• Eigenvalues of a real supersymmetric tensor
• Condition
• The spectral theory of tensors and its applications
• The Z -eigenvalues of a symmetric tensor and its application to spectral hypergraph theory
• COMPLEXITY AND REAL COMPUTATION: A MANIFESTO
• Statistical Ensembles of Complex, Quaternion, and Real Matrices
• Most Tensor Problems Are NP-Hard
• Unnamed Item

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