Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498149 | Linear Algebra and its Applications | 2005 | 4 Pages |
Abstract
The question is raised whether the sum of the k Ã 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Charles R. Johnson, Stefan Leichenauer, Peter McNamara, Roberto Costas,