In a reversal, President Trump appears to have backed off joining a European push for new sanctions on Russia, seemingly eager to move on to doing business deals with it. By David E. Sanger Jonathan ...

The use of Linear Complementarity Problems (LCP) is a powerful method for modeling switched systems, particularly in the context of power electronic circuits. Switched circuits are ubiquitous in ...

This work deals with solving continuous-time nonlinear complementarity problems defined on two types of nonempty closed convex cones: a polyhedral cone (positive octant) and a second-order cone.

We discuss a globalization scheme for a class of active-set Newton methods for solving the mixed complementarity problem (MCP), which was proposed by the authors in [3]. The attractive features of the ...

Abstract: The paper describes a version of the inexact Newton algorithm to solve nonlinear complementarity problems (NCP). New classes of NCP are specified for which the inexact Newton method globally ...

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Karmarkar (1984) found the first method of the interior point algorithm, so linear programming appeared as a dynamic field of research. Soon after, the interior point algorithm was able to resolve ...

The existence condition of the solution of special nonlinear penalized equation of the linear complementarity problems is obtained by the relationship between penalized equations and an absolute value ...

The penalty equation of LCP is transformed into the absolute value equation, and then the existence of solutions for the penalty equation is proved by the regularity of the interval matrix. We propose ...

Abstract: The paper describes a version of the inexact Newton algorithm to solve nonlinear complementarity problems(NCP). New classes of NCP are specified for which the inexact Newton method globally ...