Note that the optimal solution to Gonzaga’s problem denoted by (G) is [a, 0] T with an optimal value of the objective function equal to a, a ≥ 10. From the infeasible starting point e = [1, 1] T, the ...

The Linear Complementarity Models can be employed to analyze and simulate circuits with internal switching behavior. Power electronic converters can be considered as consisting of piecewise linear ...

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 ...

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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 ...

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 ...

ABSTRACT: For the expected value formulation of stochastic linear complementarity problem, we establish modulus-based matrix splitting iteration methods. The convergence of the new methods is ...

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 ...

Abstract: In this paper, the authors first set up the inexact parallel relaxed multisplitting algorithm for solving the linear complementarity problems, which is based on the inexact splitting method, ...