Global Error Bound for the Generalized Linear Complementarity Problem over a Polyhedral Cone

2009 ◽  
Vol 142 (2) ◽  
pp. 417-429 ◽  
Author(s):  
H. C. Sun ◽  
Y. J. Wang ◽  
L. Q. Qi
Keyword(s):  
Error Bound ◽  
Linear Complementarity Problem ◽  
Complementarity Problem ◽  
Linear Complementarity ◽  
Polyhedral Cone ◽  
Global Error ◽  
Global Error Bound ◽  
Generalized Linear Complementarity Problem

Error Estimation for a Economic Equilibrium Modeling

2011 ◽  
Vol 267 ◽  
pp. 350-355
Author(s):  
Lei Wang
Keyword(s):  
Error Estimation ◽  
Linear Complementarity Problem ◽  
Complementarity Problem ◽  
Linear Complementarity ◽  
Economic Equilibrium ◽  
Global Error ◽  
Equilibrium Modeling ◽  
Generalized Linear Complementarity Problem ◽  
Global Error Estimation

In this paper, the global error estimation for the generalized linear complementarity problem in economic equilibrium modeling(GLCP) is established. The result obtained in this paper can be viewed as extensions of previously known results.

scholarly journals An Improvement of Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Hongchun Sun ◽  
Yiju Wang ◽  
Houchun Zhou ◽  
Shengjie Li
Keyword(s):  
Error Bound ◽  
Complementarity Problem ◽  
Nonlinear Complementarity Problem ◽  
Polyhedral Cone ◽  
Global Error ◽  
New Technique ◽  
Global Error Bound ◽  
Nonlinear Complementarity ◽  
A New Technique ◽  
Weaker Conditions

We consider the global error bound for the generalized nonlinear complementarity problem over a polyhedral cone (GNCP). By a new technique, we establish an easier computed global error bound for the GNCP under weaker conditions, which improves the result obtained by Sun and Wang (2013) for GNCP.

scholarly journals A Sharper Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Hongchun Sun ◽  
Yiju Wang
Keyword(s):  
Error Bound ◽  
Complementarity Problem ◽  
Nonlinear Complementarity Problem ◽  
Polyhedral Cone ◽  
Global Error ◽  
Global Error Bound ◽  
Equivalent Formulation ◽  
Nonlinear Complementarity ◽  
Weaker Conditions ◽  
Bound Estimation

We revisit the global error bound for the generalized nonlinear complementarity problem over a polyhedral cone (GNCP). By establishing a new equivalent formulation of the GNCP, we establish a sharper global error bound for the GNCP under weaker conditions, which improves the existing error bound estimation for the problem.

scholarly journals The Solution Set Characterization and Error Bound for the Extended Mixed Linear Complementarity Problem

2012 ◽  
Vol 2012 ◽  
pp. 1-15
Author(s):  
Hongchun Sun ◽  
Yiju Wang
Keyword(s):  
Error Bound ◽  
Linear Complementarity Problem ◽  
Complementarity Problem ◽  
Complementarity Problems ◽  
Linear Complementarity Problems ◽  
Linear Complementarity ◽  
Solution Set ◽  
Global Error Bound ◽  
Mixed Linear Complementarity Problem

For the extended mixed linear complementarity problem (EML CP), we first present the characterization of the solution set for the EMLCP. Based on this, its global error bound is also established under milder conditions. The results obtained in this paper can be taken as an extension for the classical linear complementarity problems.

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