## A Polynomial-Time Approximation Algorithm for the Permanent of a Matrix with Non-Negative Entries (2004)

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Venue: | Journal of the ACM |

Citations: | 315 - 23 self |

### BibTeX

@ARTICLE{Jerrum04apolynomial-time,

author = {Mark Jerrum and Alistair Sinclair and Eric Vigoda},

title = {A Polynomial-Time Approximation Algorithm for the Permanent of a Matrix with Non-Negative Entries},

journal = {Journal of the ACM},

year = {2004},

pages = {671--697}

}

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### Abstract

Abstract. We present a polynomial-time randomized algorithm for estimating the permanent of an arbitrary n ×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. Categories and Subject Descriptors: F.2.2 [Analysis of algorithms and problem complexity]: Nonnumerical