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
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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