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A modified standard embedding for linear complementarity problems

We propose a modified standard embedding for solving the linear complementarity problem (LCP). This embedding is a special one-parametric optimization problem P ( t ) , t [ 0 , 1 ] . Under the conditions (A3) (the Mangasarian–Fromovitz Constraint Qualification is satisfied for the feasible set M ( t ) depending on the parameter t ), (A4) ( P ( t ) is Jongen–Jonker– Twilt regular) and two technical assumptions, (A1) and (A2), there exists a path in the set of stationary points connecting the chosen starting point for P ( 0 ) with a certain...

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