A characterization of the mixed discriminant

2013/09/18 by Dan I. Florentin, Florentin, D. I., Vitali Milman +3
Computer Science · Decision Sciences · #Advanced Algebra and Logic #FOS: Mathematics #Functional Analysis (math.FA) #Multi-Criteria Decision Making

paper · pdf · doi:10.48550/arxiv.1309.4798

openalex publication_date 2013/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize the mixed discriminant of positive semi definite matrices using its most basic properties. As a corollary we establish its minimality among non negative and multi additive functionals.

Related

• Remarks about Mixed Discriminants and Volumes
• Stability and complexity of mixed discriminants
• Concentration of the mixed discriminant of well-conditioned matrices
• Product of positive semi-definite matrices
• Discriminants et sommes de carrés