4.5 Article

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

期刊

JOURNAL OF THE ACM
卷 51, 期 4, 页码 671-697

出版社

ASSOC COMPUTING MACHINERY
DOI: 10.1145/1008731.1008738

关键词

Markov chain Monte Carlo; permanent of a matrix; rapidly mixing Markov chains; algorithms; theory

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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.

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