BEHAVIOR OF THE PERMANENT ON POSITIVE SEMIDEFINITE HERMITIAN MATRICES WITH FIXED ROW SUMS

  • Hwang, Suk-Geun
  • Published : 1994.10.01

Abstract

For an $n \times n$ complex matrix $A = [A_{ij}]$, the permanent of A, per A, is defined by $$ per A = \sub_{\sigma \in S_n}{a_{1 \sigma(1)} a_{2 \sigma(2)} \cdots a_{n \sigma(n)} $$ where $S_n$ stands for the symmetric group on the set {1, 2, ..., n}.

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