Principal Minor Sums of (A+tB)mLinear Algebra and its Applications
AbstractThe 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.
Citation InformationPeter McNamara, Charles R. Johnson, Stefan Leichenauer and Roberto Costas. "Principal Minor Sums of (A+tB)m" Linear Algebra and its Applications (2005) p. 386 - 389
Available at: http://works.bepress.com/peter_mcnamara/21/