On D. Haegele's approach to the Bessis-Moussa-Villani conjecture
Landweber, Peter S. · Speer, Eugene R.
Original · EN
The reformulation of the Bessis-Moussa-Villani conjecture given by Lieb and Seiringer asserts that the coefficient of tʳ in the polynomial Trace[(A+tB)ᵖ], with A and B positive semidefinite matrices, is nonnegative for all p and r. We propose a natural extension of a method of attack on this problem due to Haegele, and investigate for what values of p and r the method is successful, obtaining a complete determination when either p or r is odd.
English translation
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