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1.
  • Asymptotic positivity of Hu... Asymptotic positivity of Hurwitz product traces: Two proofs
    Fleischhack, Christian; Friedland, Shmuel Linear algebra and its applications, 03/2010, Letnik: 432, Številka: 6
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    Consider the polynomial tr ( A + tB ) m in t for positive hermitian matrices A and B with m ∈ N . The Bessis–Moussa–Villani conjecture (in the equivalent form of Lieb and Seiringer) states that this ...
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2.
  • Proof of the Cases p≤ 7 of ... Proof of the Cases p≤ 7 of the Lieb-Seiringer Formulation of the Bessis-Moussa-Villani Conjecture
    Hägele, Daniel Journal of statistical physics, 06/2007, Letnik: 127, Številka: 6
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    It is shown that the polynomial λ (t)=Tr(A+ tB)p has nonnegative coefficients when p≤ 7 and A and B are any two complex positive semidefinite n× n matrices with arbitrary n. This proves a general ...
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