The quadratic spectral containment conjecture for multiaffine stable polynomials

A homogeneous multiaffine stable polynomial is a stable polynomial that is homogeneous and multiaffine. Quadratic spectral containment conjecture. Every quadratic homogeneous multiaffine stable polynomial has the spectral containment property. This is highlighted as a potentially tractable special case because quadratic multiaffine polynomials have especially simple minor lifts; no proof or counterexample is given.

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Primary source

Grigoriy Blekherman, Mario Kummer, Raman Sanyal, Kevin Shu and Shengding Sun, “Linear Principal Minor Polynomials: Hyperbolic Determinantal Inequalities and Spectral Containment”, arXiv:2112.13321 (2021).

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