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    STOC
    1998
    ACM
    111views Algorithms» more  STOC 1998»
    A Deterministic Strongly Polynomial Algorithm for Matrix Scaling and Approximate Permanents
    13 years 9 months ago
    A Deterministic Strongly Polynomial Algorithm for Matrix Scaling and Approximate Permanents
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    We present a deterministic strongly polynomial algorithm that computes the permanent of a nonnegative n × n matrix to within a multiplicative factor of en. To this end we develop...
    Nathan Linial, Alex Samorodnitsky, Avi Wigderson
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    STOC
    2009
    ACM
    136views Algorithms» more  STOC 2009»
    Random walks on polytopes and an affine interior point method for linear programming
    14 years 6 months ago
    Random walks on polytopes and an affine interior point method for linear programming
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    Let K be a polytope in Rn defined by m linear inequalities. We give a new Markov Chain algorithm to draw a nearly uniform sample from K. The underlying Markov Chain is the first t...
    Ravi Kannan, Hariharan Narayanan
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