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

Author:

Jerrum Mark1,Sinclair Alistair2,Vigoda Eric3

Affiliation:

1. University of Edinburgh, Edinburgh, United Kingdom

2. University of California at Berkeley, Berkeley, California

3. University of Chicago, Chicago, Illinois

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.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference26 articles.

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2. Alon N. and Spencer J. 1992. The Probabilistic Method. Wiley New York. Alon N. and Spencer J. 1992. The Probabilistic Method. Wiley New York.

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