We present real, complex, and quaternionic versions of a simple randomized polynomial time algorithm to approximate the permanent of a nonnegative matrix and, more generally, the mixed discriminant of positive semidefinite matrices. The algorithm provides an unbiased estimator, which, with high prob
โฆ LIBER โฆ
A Polynomial-Time Algorithm to Approximate the Mixed Volume within a Simply Exponential Factor
โ Scribed by Leonid Gurvits
- Book ID
- 106149922
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 427 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0179-5376
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We consider the problem of counting the number of contingency tables with given row and column sums. This problem is known to be #P-complete, even when there are only two rows (Random Structures Algorithms 10(4) (1997) 487). In this paper we present the first fully polynomial randomized approximatio