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STOC
2006
ACM
83views Algorithms» more  STOC 2006»
14 years 5 months ago
A randomized polynomial-time simplex algorithm for linear programming
We present the first randomized polynomial-time simplex algorithm for linear programming. Like the other known polynomial-time algorithms for linear programming, its running time ...
Jonathan A. Kelner, Daniel A. Spielman
CORR
2007
Springer
76views Education» more  CORR 2007»
13 years 4 months ago
Some problems in asymptotic convex geometry and random matrices motivated by numerical algorithms
Abstract. The simplex method in Linear Programming motivates several problems of asymptotic convex geometry. We discuss some conjectures and known results in two related directions...
Roman Vershynin
MP
2008
115views more  MP 2008»
13 years 4 months ago
An efficient approach to updating simplex multipliers in the simplex algorithm
The simplex algorithm computes the simplex multipliers by solving a system (or two triangular systems) at each iteration. This note offers an efficient approach to updating the sim...
Jian-Feng Hu, Ping-Qi Pan
SIAMCOMP
2008
133views more  SIAMCOMP 2008»
13 years 4 months ago
A Deterministic Subexponential Algorithm for Solving Parity Games
The existence of polynomial time algorithms for the solution of parity games is a major open problem. The fastest known algorithms for the problem are randomized algorithms that r...
Marcin Jurdzinski, Mike Paterson, Uri Zwick
JCT
2000
103views more  JCT 2000»
13 years 4 months ago
A Combinatorial Algorithm Minimizing Submodular Functions in Strongly Polynomial Time
We give a strongly polynomial-time algorithm minimizing a submodular function f given by a value-giving oracle. The algorithm does not use the ellipsoid method or any other linear ...
Alexander Schrijver