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The monotonicity of the permanent function. (English) Zbl 0748.15007
The author shows that for each positive integer $$n$$ there exists $$\alpha_ n\in(0,1)$$ such that $$\text{per}[(1-\theta)J_ n+\theta S]\leq\text{per} S$$ for all $$0\leq\theta\leq\alpha_ n$$ and all $$n\times n$$ doubly stochastic matrices $$S$$.
##### MSC:
 15A15 Determinants, permanents, traces, other special matrix functions 15B51 Stochastic matrices
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##### References:
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