| 基于MPRP方法的求解单调非线性方程组的算法 |
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| 引用本文： | 关洪波,王胜.基于MPRP方法的求解单调非线性方程组的算法[J].娄底师专学报,2013(4):111-113,119. |
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| 作者姓名： | 关洪波 王胜 |
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| 作者单位： | 湖南工学院数理部,湖南衡阳421002 |
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| 基金项目： | [基金项目]湖南工学院科研项目“基于求解凸约束单调非线性方程组的MPRP算法在压缩传感中的应用研究”（HY11006）. |
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| 摘 要： | MPRP方法是求解优化问题的一种共轭梯度算法，将其推广至求解单调非线性方程组，给出收敛性的证明，并通过数值实验表明算法是稳定和有效的。
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| 关 键 词： | MPRP方法 单调非线性方程组 全局收敛性 |
An Algorithm for Solving Monotone Nonlinear Equations Based on MPIIP method |
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| GUAN Hong-bo,WANG Sheng.An Algorithm for Solving Monotone Nonlinear Equations Based on MPIIP method[J].Journal of Loudi Teachers College,2013(4):111-113,119. |
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| Authors: | GUAN Hong-bo WANG Sheng |
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| Institution: | (Department of Mathematics and Physics, Hunan Institute of Technology, Hengyang 421002, China) |
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| Abstract: | The MPRP method is one of conjugate gradient methods for solving unconstrained optimization problems. We spread it to solve monotone nonlinear equations, then prove the globally convergent. At last we give numerical experiments to show that the algorithm is efficient and stable. |
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| Keywords: | MPRP method monotone nonlinear equations globally convergent |
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