Generalizations of P0- and P-properties; extended vertical and horizontal linear complementarity problems
نویسندگان
چکیده
منابع مشابه
Structural and Stability Properties of P0 Nonlinear Complementarity Problems
We consider P 0 nonlinear complementarity problems and study the con-nectedness and stability of the solutions by applying degree theory and the Mountain Pass Theorem to a smooth reformulation of the complementarity problem. We show that the solution set is connected and bounded if a bounded isolated component of the solution set exists and that a solution is locally unique if and only if it is...
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The homogeneous model for linear programs is an elegant means of obtaining the solution or certificate of infeasibility and has importance regardless of the method used for solving the problem, interior-point methods or other methods. In 1999, Andersen and Ye generalized this model to monotone complementarity problems (CPs) and showed that most of the desirable properties can be inherited as lo...
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Motivated by the definition of P†-matrix ([9]), another generalization of a P -matrix for square singular matrices called PD-matrix is proposed first. Then the uniqueness of solution of Linear Complementarity Problems for square singular matrices is proved using PD-matrices. Finally some results which are true for P -matrices are extended to PD-matrices.
متن کاملHomogeneous Cone Complementarity Problems and P Properties ∗
We consider existence and uniqueness properties of a solution to homogeneous cone complementarity problem (HCCP). Employing the T -algebraic characterization of homogeneous cones, we generalize the P, P0, R0 properties for a nonlinear function associated with the standard nonlinear complementarity problem to the setting of HCCP. We prove that if a continuous function has either the order-P0 and...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1995
ISSN: 0024-3795
DOI: 10.1016/0024-3795(93)00184-2