| 一种求解单调非线性方程组的凸组合算法 |
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| 引用本文： | 王胜,关洪波.一种求解单调非线性方程组的凸组合算法[J].吉首大学学报(自然科学版),2014,35(1):12-14. |
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| 作者姓名： | 王胜 关洪波 |
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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： | 湖南省教育厅科学研究项目（12C0664）；湖南工学院院级项目（HY11006，HY12007） |
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| 摘 要： | 将求解单调非线性方程组的CGD算法和MPRP算法的下降方向进行凸组合,构造出新的下降方向,从而提出新的算法,并给出新算法的全局收敛性定理.通过数值实验比较新算法与CGD算法和MPRP算法的结果,可知新算法优于原算法.
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| 关 键 词： | MPRP算法 CGD算法 凸组合 单调非线性方程组 全局收敛性 |
An Algorithm of Convex Combination for Solving Monotone Nonlinear Equations |
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| WANG Sheng,GUAN Hong-Bo.An Algorithm of Convex Combination for Solving Monotone Nonlinear Equations[J].Journal of Jishou University(Natural Science Edition),2014,35(1):12-14. |
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| Authors: | WANG Sheng GUAN Hong-Bo |
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| Institution: | (Mathematics and Physics Department，Hunan Institute of Technology,Hengyang 421002,Hunan China) |
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| Abstract: | In this paper the authors convexly combine the the descent directions of the CGD algorithm and the MPRP algorithm for solving the monotone nonlinear equations,construct the new descent direction and give the new algorithm,and give the globally convergent theorem of the new algorithm.At last the authors compare the algorithms through the numerical experiments and find that the new algorithm is better than the original algorithms. |
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| Keywords: | MPRP algorithm CGD algorithm convex combination monotone nonlinear equations global convergence |
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