| A Combined Homotopy Infeasible Interior-Point Method for Convex Nonlinear Programming |
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| 引用本文： | 杨轶华,吕显瑞,刘庆怀. A Combined Homotopy Infeasible Interior-Point Method for Convex Nonlinear Programming[J]. 东北数学, 2006, 22(2): 188-192 |
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| 作者姓名： | 杨轶华 吕显瑞 刘庆怀 |
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| 作者单位： | School of Mathematics Jilin University Changchun，130012，School of Mathematics Jilin University，Changchun，130012，Institute of Applied Mathematics Changchun University of Technology，Changchun，130012 |
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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.
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| 关 键 词： | 凸非线性规划 非可实行内点法 同伦法 整体会聚 |
A Combined Homotopy Infeasible Interior-Point Method for Convex Nonlinear Programming |
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| Affiliation: | [1]School of Mathematics, Jilin University, Changchun, 130012 [2]Institute of Applied Mathematics, Changchun University of Technology, Changchun, 130012 |
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| Abstract: | 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. |
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| Keywords: | convex nonlinear programming infeasible interior point method homotopy method global convergence |
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