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» A New Approach to Strongly Polynomial Linear Programming
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STOC
2009
ACM
136views Algorithms» more  STOC 2009»
14 years 5 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
CADE
2009
Springer
14 years 5 months ago
Solving Non-linear Polynomial Arithmetic via SAT Modulo Linear Arithmetic
Abstract. Polynomial constraint-solving plays a prominent role in several areas of engineering and software verification. In particular, polynomial constraint solving has a long an...
Albert Rubio, Cristina Borralleras, Enric Rodr&iac...
ICLP
2005
Springer
13 years 10 months ago
Polynomial Interpretations as a Basis for Termination Analysis of Logic Programs
Our goal is to study the feasibility of porting termination analysis techniques developed for one programming paradigm to another paradigm. In this paper, we show how to adapt ter...
Manh Thang Nguyen, Danny De Schreye
AOR
2006
95views more  AOR 2006»
13 years 4 months ago
A New Practically Efficient Interior Point Method for LP
In this paper we briefly review the importance of LP (linear programming), and Dantzig's main contributions to OR (Operations Research), mathematics, and computer science. In...
Katta G. Murty
STOC
1998
ACM
111views Algorithms» more  STOC 1998»
13 years 9 months ago
A Deterministic Strongly Polynomial Algorithm for Matrix Scaling and Approximate Permanents
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