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Linear complementarity, linear and nonlinear programming

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The article was published on 1988-01-01 and is currently open access. It has received 1012 citations till now. The article focuses on the topics: Mixed complementarity problem & Complementarity theory.

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Bilevel formulation of a policy design problem considering multiple objectives and incomplete preferences

TL;DR: The primary contributions in this article are the mathematical formulation of the FIT policy, the extension of computational policy design problems to multiple objectives, and the consideration of incomplete preferences of stakeholders for policyDesign problems.

A KIND OF SYMMETRICAL ITERATIVE METHODS TO SOLVE SPECIAL CLASS OF LCP (M, q)

TL;DR: The purpose of this paper is to present the efficient iterative method for solving Non-Hermitian positive definite systems of Linear complementarity problems (LCP), using splitting of the coefficient matrix and fixed-point principle.

Linear equations, Inequalities, Linear Programs (LP), and a New Efficient Algorithm

TL;DR: The earliest algebraic systems constructed are systems of linear equations, and soon after, the famous elimination method for solving them was discovered in China and India as discussed by the authors, however, there was no computationally viable method until recently to solve linear constraints including inequalities.
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A procedure for the one-parametric linear complementarity problem

TL;DR: In this article, a principal pivoting method for linear complementarity problems with a piecewise rational function of the parameter is proposed, where all the coefficients are linear functions of the parametric function and the matrix of the problem is sufficient for all values of the function in the interval under consideration.
Journal ArticleDOI

Equivalence of Equilibrium Problems and Least Element Problems

TL;DR: In this article, the concept of feasible set for an equilibrium problem with a convex cone and generalize the notion of a Z-function for bifunctions was introduced and derived some equivalence results of equilibrium problems, least element problems, and nonlinear programming problems.
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