Principal Minor Sums of (A+tB)m
Publication Date
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.
Journal
Linear Algebra and its Applications
Volume
411
First Page
386
Last Page
389
Department
Mathematics
Recommended Citation
McNamara, Peter; Johnson, Charles R.; Leichenauer, Stefan; and Costas, Roberto. "Principal Minor Sums of (A+tB)m." Linear Algebra and its Applications (2005) : 386-389.
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