Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 9 Issue 4
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- Pages.767-772
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- 1994
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
BEHAVIOR OF THE PERMANENT ON POSITIVE SEMIDEFINITE HERMITIAN MATRICES WITH FIXED ROW SUMS
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}.
Keywords