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

• Hwang, Suk-Geun
• Published : 1994.10.01
• 48 4

#### 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}.