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MP
2006
113views more  MP 2006»
13 years 5 months ago
A class of polynomially solvable linear complementarity problems
Although the general linear complementarity problem (LCP) is NP-complete, there are special classes that can be solved in polynomial time. One example is the type where the definin...
Teresa H. Chu
SIAMDM
2010
101views more  SIAMDM 2010»
13 years 5 hour ago
Rationality and Strongly Polynomial Solvability of Eisenberg--Gale Markets with Two Agents
Inspired by the convex program of Eisenberg and Gale which captures Fisher markets with linear utilities, Jain and Vazirani [STOC, 2007] introduced the class of EisenbergGale (EG)...
Deeparnab Chakrabarty, Nikhil R. Devanur, Vijay V....
ERSHOV
2006
Springer
13 years 9 months ago
Linear Complementarity and P-Matrices for Stochastic Games
Abstract. We define the first nontrivial polynomially recognizable subclass of P-matrix Generalized Linear Complementarity Problems (GLCPs) with a subexponential pivot rule. No suc...
Ola Svensson, Sergei G. Vorobyov
TCS
2011
13 years 6 days ago
The three column Bandpass problem is solvable in linear time
The general Bandpass problem is NP-hard and was claimed NP-hard when the number of columns is three. Previously we designed a polynomial time row-stacking algorithm for the three ...
Zhong Li, Guohui Lin
SIAMJO
2008
100views more  SIAMJO 2008»
13 years 5 months ago
On the Global Solution of Linear Programs with Linear Complementarity Constraints
This paper presents a parameter-free integer-programming based algorithm for the global resolution of a linear program with linear complementarity constraints (LPCC). The cornersto...
Jing Hu, John E. Mitchell, Jong-Shi Pang, Kristin ...