Linear Principal Minor Polynomials: Hyperbolic Determinantal Inequalities and Spectral Containment

DOI10.1093/imrn/rnac291arXiv2112.13321OpenAlexW4308842502WikidataQ115538909 ScholiaQ115538909MaRDI QIDQ6194984

Raman Sanyal, Kevin Shu, Mario Kummer, Shengding Sun, Grigoriy Blekherman

Publication date: 16 February 2024

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.13321

zbMATH Keywords

hyperbolic polynomialsKoteljanskii inequalityFisher-Hadamard inequalitylinear combination of principal minors

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Determinants, permanents, traces, other special matrix functions (15A15) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Polynomials in real and complex fields: factorization (12D05) Miscellaneous inequalities involving matrices (15A45)

This page was built for publication: Linear Principal Minor Polynomials: Hyperbolic Determinantal Inequalities and Spectral Containment