A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries

A polynomial-time approximation algorithm for the permanent of a matrix with nonnegative entries
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DOI:
10.1145/1008731.1008738
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发表时间:
2004-07-01
期刊:
影响因子:
2.5
通讯作者:
Vigoda, E
Vigoda, E
中科院分区:
计算机科学2区
文献类型:
--
作者:
Jerrum, M;Sinclair, A;Vigoda, E

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提出了一种估计任意n × n非负项矩阵永久性的多项式时间随机算法。这个算法——从技术上讲是一个“全多项式随机近似方案”——计算一个近似,这个近似在任意小的指定相对误差范围内,具有很高的概率。
We present a polynomial-time randomized algorithm for estimating the permanent of an arbitrary n x n matrix with nonnegative entries. This algorithm-technically a "fully-polynomial randomized approximation scheme" - computes an approximation that is, with high probability, within arbitrarily small specified relative error of the true value of the permanent.