Newton Method for Solving a Class of Smooth Convex Programming
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摘要: 给出了一个求解一类光滑凸规划的算法,利用光滑精确乘子罚函数把一个光滑凸规划的极小化问题化为一个紧集上强凸函数的极小化问题,然后在给定的紧集上用牛顿法对这个强凸函数进行极小化.Abstract: An algorithm for solving a class of smooth convex programming is given.Using smooth exact multiplier penalty function,a smooth convex programming is minimized to a minimizing strongly convex function on the compact set was reduced.Then the strongly convex function with a Newtonon method on the given compact set was minimized.
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Key words:
- convex programming /
- Newton method /
- KKT multiplier
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[1] Di Pillo G.Exact Penalty Methods[A].In:Spedicate E Ed.Algorithm for Continuous Optimization: The State of the Art[C].Boston: Kluwer Academic Publishers,1994,209—253. [2] Yu Nesterov,Nemirovsky A.Interior-Point Polynomial Methods in Convex Programming[M].America:SIAM, Philadelphia, PA, 1994,50—150. [3] Serge Lang.Real Analysis[M].Reading,Mass:Addison-Wesley Publisher,1983,106. [4] Wilkinson J H.The Algebraic Eigenvalue Problem[M].Oxford:Clarendon Press,1965. [5] 王松桂,贯忠贞.矩阵论中不等式[M].合肥:安徽教育出版社,1994,129. [6] Güler O.Complexity of Smooth Convex Programming and its applications[A].In:Complexity in Numerical Optimization[C].by P M Pardalas Ed.World Scientifc Publishing Co,1993,180—202. [7] Bazaraa M S,Shetty C M.Nonlinear Programming-Theory and Algorithms[M].New York:John Wiley & Sons,1993,504.
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