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A characterization of the mixed discriminant

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Publication:2790933
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DOI10.1090/proc/12344zbMath1341.15004arXiv1309.4798OpenAlexW2962713606MaRDI QIDQ2790933

Rolf Schneider, Dan I. Florentin, Vitali D. Milman

Publication date: 8 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4798


zbMATH Keywords

positive semidefinite matricesmixed volumesmixed discriminantscentered ellipsoids


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Mixed volumes and related topics in convex geometry (52A39)


Related Items

Short note on some geometric inequalities derived from matrix inequalities ⋮ On characteristic forms of positive vector bundles, mixed discriminants, and pushforward identities ⋮ On linearized versions of matrix inequalities ⋮ Definite determinantal representations of multivariate polynomials ⋮ Improved bounds in Weaver and Feichtinger conjectures



Cites Work

  • The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
  • Mixed discriminants of positive semidefinite matrices
  • Characterizing the mixed volume
  • ON SOME PROPERTIES OF MIXED DISCRIMINANTS
  • $p$-Means of Convex Bodies.
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