重庆师范大学 数学学院,重庆 401331
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Separable Convex Optimization Problem Is Solved by PromotedPrecorrection Neighboring Point Method
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    摘要:

    考虑目标函数能够分解成n个独立的凸函数,其约束条件为线性约束的可分凸优化问题.呈现了一种推广的预测矫正邻近乘子法来求解可分凸优化问题.算法在迭代中利用二次项代替了增广拉格朗日函数的增广项,算法既有邻近乘子法的特性,又有可以平行计算,并且在较弱的条件下,能保证全局收敛.

    Abstract:

    Objective function can be decomposed into n independent convex functions, and the constraint conditions for linear constraint can be divided into convex optimization problem. This paper presents a kind of promotion forecast correction multiplier method to solve separable convex optimization problem, this algorithm uses the second item in the iteration to replace the augmented Lagrangian function of the augmented items, and the proposed algorithm has both the characterization of neighboring multiplier method and parallel computation as well as can guarantee the global convergence under weak condition.

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罗立.重庆师范大学 数学学院,重庆 401331[J].重庆工商大学学报(自然科学版),2016,33(1):19-22
LUO Li. Separable Convex Optimization Problem Is Solved by PromotedPrecorrection Neighboring Point Method[J]. Journal of Chongqing Technology and Business University(Natural Science Edition),2016,33(1):19-22

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  • 在线发布日期: 2016-01-15
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