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A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems

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Following Karmarkar's 1984 linear programming algorithm, numerous interior—point algorithms have been proposed for various mathematical programming problems such as linear programming, convex quadratic programming and convex programming in general. This monograph presents a study of interior—point algorithms for the linear complementarity problem (LCP) which is known as a mathematical model for primal—dual pairs of linear programs and convex quadratic programs. A large family of potential r...