| 求解单调非线性方程组的凸组合算法的收敛性 |
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| 引用本文： | 王胜?,关洪波.求解单调非线性方程组的凸组合算法的收敛性[J].湖南文理学院学报(自然科学版),2013(2):16-19. |
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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;湖南工学院 数理部，湖南 衡阳，421002 |
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| 基金项目： | 湖南省教育厅资助项目（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MPRP算法和CGD算法的下降方向进行凸组合,构造出新的下降方向,提出新的算法,并证明新算法是全局收敛的.
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| 关 键 词： | 凸组合 单调非线性方程组 全局收敛性 |
The global convergence of the algorithm of convexly combinations for solving monotone nonlinear equations |
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| WANG Sheng,GUAN Hong-bo.The global convergence of the algorithm of convexly combinations for solving monotone nonlinear equations[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2013(2):16-19. |
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| Authors: | WANG Sheng GUAN Hong-bo |
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| Institution: | (Mathematics and Physics Department of Hunan Institute of Technology, Hengyang 421002, China) |
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| Abstract: | By convexly combining the the descent directions of the MPRP algorithm and the CGD algorithm for solving monotone nonlinear equations, the new descent direction was constructed, the new algorithm and its global convergence were put forward. |
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| Keywords: | convexly combination monotone nonlinear equations globally convergent |
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