Article
Principal Minor Sums of (A+tB)m
Faculty Journal Articles
Publication Date
1-1-2005
Description
The question is raised whether the sum of the k-by-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 Lieb and Seiringer. We give a variety of evidence for this further question, some of which is new.
Disciplines
Journal
Linear Algebra and its Applications
Department
Mathematics
Citation Information
Peter McNamara, Charles R. Johnson, Stefan Leichenauer and Roberto Costas. "Principal Minor Sums of (A+tB)m" Vol. 411 (2005) p. 386 - 389 Available at: http://works.bepress.com/peter_mcnamara/21/