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等式约束凸二次规划的不动点迭代算法 被引量:3

Fixed Iterative Method for Solving the Equality Constrained Convex Quadratic Programming Problem
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摘要 提出了等式约束凸二次规划问题的光滑型方法。根据约束优化问题的最优性条件,利用信息论中的极大熵原理,构造了一种基于不动点的光滑迭代算法,并给出了算法的迭代格式。讨论了解存在的必要条件及迭代算法收敛的条件,并通过数值实例与已有算法进行了比较,从而显示了算法的有效性。 With respect to equality constrained convex quadratic programming, a smooth method is presented. According to the optimization condition, and using the maximum entropy principle of information theory, the fixed iterative method is obtained. An iterative projection is given and a necessary condition are proposed. Compared with other method, the theoretical analysis and the numerical results show that this algorithm is effective.
作者 王若鹏
出处 《北京石油化工学院学报》 2008年第3期64-66,共3页 Journal of Beijing Institute of Petrochemical Technology
关键词 二次规划 熵函数 不动点迭代 线性互补问题 quadratic programming problem entropy function fixed iterative method linear complementary problem
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