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SC
1994
ACM
14 years 3 months ago
A parallel formulation of interior point algorithms
In recent years, interior point algorithms have been used successfully for solving mediumto large-size linear programming LP problems. In this paper we describe a highly parallel ...
George Karypis, Anshul Gupta, Vipin Kumar
STOC
2009
ACM
136views Algorithms» more  STOC 2009»
14 years 11 months ago
Random walks on polytopes and an affine interior point method for linear programming
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