Article ID Journal Published Year Pages File Type
9498149 Linear Algebra and its Applications 2005 4 Pages PDF
Abstract
The question is raised whether the sum of the k × k principal minors of the titled matrix is a polynomial (in t) with positive coefficients, when A and B are positive definite. This would generalize a conjecture made by Bessis-Moussa-Villani, as stated by E.H. Lieb and R. Seiringer [Equivalent forms of the Bessis-Moussa-Villani conjecture, J. Stat. Phys. 115 (2004) 185-190]. We give a variety of evidence for this further question, some of which is new.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, , , ,