This book provides a solid foundation and an extensive study for an important class of
constrained optimization problems known as Mathematical Programs with Equilibrium …

This book is about dynamical systems that are" hybrid" in the sense that they contain both
continuous and discrete state variables. Recently there has been increased research …

The SDLCP (semidefinite linear complementarity problem) in symmetric matrices introduced
in this paper provides a unified mathematical model for various problems arising from …

In this paper, we extend modulus-based matrix splitting iteration methods to horizontal linear
complementarity problems. We consider both standard and accelerated methods and …

In this work, by applying the synchronous multisplitting technique to the non-auxiliary
variable modulus equation of the vertical linear complementarity problems, a new parallel …

In this note, we provide necessary and sufficient conditions that ensure the existence and
uniqueness of solution of the general form of absolute value equations (AVEs), A x− B| x|= b …

The absolute value equations (AVE) problem is an algebraic problem of solving. So far, most
of the research has focused on methods for solving AVE, but we address the problem itself …

We introduce a modulus-based formulation for vertical linear complementarity problems
(VLCPs) with an arbitrary number ℓ of matrices. This formulation can be used to set up a …

Abstract Recently, Mehrotra [3] proposed a predictor—corrector primal—dual interior-point
algorithm for linear programming. At each iteration, this algorithm utilizes a combination of …

In this paper, we generalize the projected Jacobi and the projected Gauss–Seidel methods
to vertical linear complementarity problems (VLCPs) characterized by matrices with positive …