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BFGS Method for Linear Programming

BFGS Method for Linear Programming
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摘要 In this paper we propose an algorithm based on the BFGS Quasi-Newton method to solve a linear program. The choice of this method is justified by its theoretical efficiency, the ease to determine a descent direction and its fast convergence towards an optimal solution. Our proposed method is compared with Newton's method for linear program named lpnew, widely used as an optimization algorithm for classification problems.
出处 《Journal of Mathematics and System Science》 2015年第12期537-543,共7页 数学和系统科学(英文版)
关键词 Linear programming BFGS method least norm solution exterior penalty. BFGS方法 线性规划 拟牛顿法 优化算法 理论效率 下降方向 快速收敛 线性程序
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