| 带凸约束非线性方程组问题的一种投影收缩算法 |
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| 引用本文： | 张洪羽,王英妮,王宜举.带凸约束非线性方程组问题的一种投影收缩算法[J].曲阜师范大学学报,2009,35(2):11-16. |
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| 作者姓名： | 张洪羽 王英妮 王宜举 |
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| 作者单位： | 曲阜师范大学运筹与管理学院,276800,山东省日照市
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| 基金项目： | 国家自然科学基金，教育部归国留学基金 |
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| 摘 要： | 对带凸约束的非线性方程组问题，基于已有投影算法，我们通过压缩投影区域提出了一种新的投影收缩方法．该算法从理论上可以保证算法产生的下一迭代点更靠近问题的解集．在较弱的条件下，我们建立了算法的全局收敛性和线性收敛性．
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| 关 键 词： | 带约束的非线性方程组 收敛性 投影算子 |
A Projection and Constraction Method for a System of Nonlinear Equations With Convex Constraints |
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| ZHANG Hong-yu,WANG Ying-ni,WANG Yi-ju.A Projection and Constraction Method for a System of Nonlinear Equations With Convex Constraints[J].Journal of Qufu Normal University(Natural Science),2009,35(2):11-16. |
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| Authors: | ZHANG Hong-yu WANG Ying-ni WANG Yi-ju |
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| Institution: | School of Operations Research and Management Science;Qufu Normal University;276800;Rizhao;Shandong;PRC |
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| Abstract: | For the problem of convexly constrained system of nonlincar equation,we present a projection and constraction method to solve it by modifying the projection region.Under milder conditions,we establish its global convergence and R-linear convergence. |
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| Keywords: | constrained system of nonlinear equations convergence projection operator |
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