Linear complementarity problem: Difference between revisions

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Relation to Quadratic Programming: - added bit about how to convert QP program to LCP
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In mathematical [[optimization (mathematics)|optimization theory]], the '''linear complementarity problem''', or '''(LCP)''', is a special case of [[quadratic programming]] which arises frequently in [[computational mechanics]].
 
== Formulation ==
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* <math>\mathbf{z}^{\mathrm{T}}(\mathbf{Mz}+\mathbf{q}) = 0</math> (the complementarity condition)
 
==Relation to Quadraticquadratic Programmingprogramming==
 
Finding a solution to the linear complementarity problem is equivalent to minimizing the quadratic function