In mathematical optimization theory, the mixed linear complementarity problem, often abbreviated as MLCP or LMCP, is a generalization of the linear complementarity problem to include free variables.

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Lemke's algorithm

algorithm is a procedure for solving linear complementarity problems, and more generally mixed linear complementarity problems. It is named after Carlton E.

Complementarity theory

and quadratic programming constitute a linear complementarity problem (LCP) or a mixed complementarity problem (MCP). In 1963 Lemke and Howson showed

Nonlinear complementarity problem

Richard W.; Pang, Jong-Shi; Stone, Richard E. (1992). The linear complementarity problem. Computer Science and Scientific Computing. Boston, MA: Academic

List of numerical analysis topics

Complementarity theory — study of problems with constraints of the form ⟨u, v⟩ = 0 Mixed complementarity problem Mixed linear complementarity problem

Mathematical optimization

somewhere on this curve". Also, the problem of computing contact forces can be done by solving a linear complementarity problem, which can also be viewed as

Quadratic programming

Richard W.; Pang, Jong-Shi; Stone, Richard E. (1992). The linear complementarity problem. Computer Science and Scientific Computing. Boston, MA: Academic

Black hole complementarity

Black hole complementarity is a conjectured solution to the black hole information paradox, proposed by Leonard Susskind, Lárus Thorlacius, John Uglum

Artelys Knitro

problems / regression, both linear and nonlinear Mathematical programs with complementarity constraints (MPCC/MPEC) Mixed-integer nonlinear problems (MIP/MINLP)