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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»
15 years 2 days 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