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MP
2006
113views more  MP 2006»
14 years 10 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
80
Voted
SIAMDM
2010
101views more  SIAMDM 2010»
14 years 5 months 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
15 years 1 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
14 years 5 months 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»
14 years 10 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 ...