Principal Minor Sums of (A+tB)m

Citation data:

Linear Algebra and its Applications, Page: 386-389

Publication Year:
2005
Usage 18
Abstract Views 18
Repository URL:
https://digitalcommons.bucknell.edu/fac_journ/109; https://works.bepress.com/peter_mcnamara/21
Author(s):
McNamara, Peter; Johnson, Charles R.; Leichenauer, Stefan; Costas, Roberto
Tags:
Mathematics
article 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.