On D. Hägele’s approach to the Bessis-Moussa-Villani conjecture |
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Authors: | Peter S Landweber |
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Institution: | Department of Mathematics, Rutgers University, Piscataway, NJ 08854, USA |
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Abstract: | The reformulation of the Bessis-Moussa-Villani (BMV) conjecture given by Lieb and Seiringer asserts that the coefficient αm,k(A,B) of tk in the polynomial Tr(A+tB)m, with A,B positive semidefinite matrices, is nonnegative for all m,k. We propose a natural extension of a method of attack on this problem due to Hägele, and investigate for what values of m,k the method is successful, obtaining a complete determination when either m or k is odd. |
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Keywords: | 15A90 15A48 15A45 |
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