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A Combined Homotopy Infeasible Interior-Point Method for Convex Nonlinear Programming 被引量:3

A Combined Homotopy Infeasible Interior-Point Method for Convex Nonlinear Programming
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摘要 In this paper, on the basis of the logarithmic barrier function and KKT conditions, we propose a combined homotopy infeasible interior-point method (CHIIP) for convex nonlinear programming problems. For any convex nonlinear programming, without strict convexity for the logarithmic barrier function, we get different solutions of the convex programming in different cases by CHIIP method. In this paper, on the basis of the logarithmic barrier function and KKT conditions, we propose a combined homotopy infeasible interior-point method (CHIIP) for convex nonlinear programming problems. For any convex nonlinear programming, without strict convexity for the logarithmic barrier function, we get different solutions of the convex programming in different cases by CHIIP method.
出处 《Northeastern Mathematical Journal》 CSCD 2006年第2期188-192,共5页 东北数学(英文版)
关键词 convex nonlinear programming infeasible interior point method homotopy method global convergence convex nonlinear programming, infeasible interior point method, homotopy method, global convergence
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  • 1Masakazu Kojima,Nimrod Megiddo,Shinji Mizuno.A primal—dual infeasible-interior-point algorithm for linear programming[J].Mathematical Programming (-).1993(1-3)

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