Linear complementarity problems (LCPs) constitute a salient class of mathematical models wherein one seeks vectors that fulfil mutually exclusive non-negativity and orthogonality conditions relative ...

In this paper we develop systematically infeasible-interior-point methods of arbitrarily high order for solving horizontal linear complementarity problems that are sufficient in the sense of Cottle, ...

Recently, the globally uniquely solvable (GUS) property of the linear transformation M ∈ ℝn × n in the second-order cone linear complementarity problem (SOCLCP) receives much attention and has been ...

Matrix splitting iteration methods have emerged as potent tools in addressing complementarity problems, which frequently arise in optimisation, economics and engineering applications. These methods ...

can be solved by solving an equivalent linear complementarity problem when H is positive semidefinite. The approach is outlined in the discussion of the LCP subroutine in Chapter 17, "Language ...

See "Nonlinear Optimization and Related Subroutines" for a listing of all NLP subroutines. See Chapter 11, "Nonlinear Optimization Examples," for a description of the inputs to and outputs of all NLP ...