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On Complexity of Computing the Permanent of a Rectangular Matrix

机译:计算矩形矩阵永久性的复杂性

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摘要

We show that the permanent of an m x n rectan- gular matrix can be computed with O(n2~m + 3~m ) multiplications and additions. Asymptotically, this is better than straightfor- ward extensions of the best known algorithms for the permanent of a square matrix when m < log_32 and n→∞.
机译:我们表明,可以通过O(n2〜m + 3〜m)乘法和加法来计算m x n矩形矩阵的永久性。渐近而言,这比m / n

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