منابع مشابه
Computing sparse permanents faster
Bax and Franklin (2002) gave a randomized algorithm for exactly computing the permanent of any n × n zero-one matrix in expected time exp [
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The permanent of matrices has wide applications in many fields of science and engineering. It is, however, a #P-complete problem in counting. The best-known algorithm for computing the permanent, which is due to Ryser [Combinatorial Mathematics, The Carus Mathematical Monographs, vol. 14, Mathematical Association of America, Washington, DC, 1963], runs O(n2 ) in time. It is possible to speed up...
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The research in parallel machine scheduling in combinatorial optimization suggests that the desirable parallel efficiency could be achieved when the jobs are sorted in the non-increasing order of processing times. In this paper, we find that the time spending for computing the permanent of a sparse matrix by hybrid algorithm is strongly correlated to its permanent value. A strategy is introduce...
متن کاملComputing permanents of complex diagonally dominant matrices and tensors
We prove that for any λ > 1, fixed in advance, the permanent of an n × n complex matrix, where the absolute value of each diagonal entry is at least λ times bigger than the sum of the absolute values of all other entries in the same row, can be approximated within any relative error 0 < ǫ < 1 in quasi-polynomial nO(lnn−ln ǫ) time. We extend this result to multidimensional permanents of tensors ...
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ژورنال
عنوان ژورنال: Information Processing Letters
سال: 2005
ISSN: 0020-0190
DOI: 10.1016/j.ipl.2005.06.007