Author : Martin Fürer
Release : 2004
Genre : Approximation theory
Kind : eBook
Book Rating : /5 ( reviews)
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Book Synopsis An Almost Linear Time Approximation Algorithm for the Permanent of a Random (0-1) Matrix by : Martin Fürer
Download or read book An Almost Linear Time Approximation Algorithm for the Permanent of a Random (0-1) Matrix written by Martin Fürer. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We present a simple randomized algorithm for approximating permanents of random (0-1) matrices. The algorithm with inputs a, [epsilon]> 0 produces an output X[subscript A] with (1-[epsilon])per(A) [or =] X[subscript A] [or =] (1 + [epsilon])per(A) for almost all (0-1) matrices A. For every positive constant [epsilon] 0, the algorithm runs in time O(n2[omega]), i.e., almost linear in the size of the matrix, where [omega] = [omega](n) is any function satisfying [omega](n) - [infinity] as n -> [infinity]. This improves the previous bound of O(n3[infinity]) for such matrices."