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    STOC
    1998
    ACM
    111views Algorithms» more  STOC 1998»
    A Deterministic Strongly Polynomial Algorithm for Matrix Scaling and Approximate Permanents
    15 years 1 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
    15 years 10 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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