期刊文献+

一种修正凸组合下降方向的求解单调非线性方程组的算法

A Modified Algorithm of Convex Combination of Descent Directions for Solving Monotone Nonlinear Equations
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摘要 文章对求解单调非线性方程组的凸组合下降方向算法进行修正,并通过数值实验将修正算法和凸组合下降方向算法的数值结果进行比较,得出修正算法优于原算法的结论. In this paper, we modify the descent directions of the convexly combine descent directions algorithm. And give the numerical experiments to compare the modified algorithm with the original algorithm. The results show that the modified algorithm is superior to the original algorithm.
作者 王胜 廖代喜
出处 《邵阳学院学报(自然科学版)》 2013年第3期1-3,共3页 Journal of Shaoyang University:Natural Science Edition
基金 湖南省教育厅资助项目(12C0664) 湖南工学院院级项目(HY11006 HY12007)
关键词 凸组合 单调非线性方程组 全局收敛性 修正算法 convex combination monotone nonlinear equations global convergence modified algorithm
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参考文献6

  • 1Zhou W J, Li D H. A globally convergent BFGS method for nonlinear monotone equations without any merit functions [ J ]. Mathematics of Computation, 2008,77 ( 264 ) : 2231-2240. 被引量:1
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  • 3Zhou W J,Li D H. Limited memory BFGS method for nonlinear monotone equations [ J ]. Journal of Computational and Applied Mathematics,2007,25: 89-96. 被引量:1
  • 4Zhang L, Zhou W J, Li D H. A descent modified Polak- Ribi:re - Polyak conjugate gredient method and its global convergence [ ] ]. IMA Journal of Numerical Analysis, 2006,26 (4) :629-940. 被引量:1
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二级参考文献6

  • 1Zhou W J, Li D H. Limited memory BFGS method for nonlinear monotone equations!J]. Journal of Computational andApplied Mathematics, 2007,25: 89~96. 被引量:1
  • 2Yan Q R, Peng X Z, Li D H. A globally convergent derivative-free method for solving large-scale nonlinear monotoneequations[J]. Journal of Computational and Applied Mathematics, 2010,234(3): 649~957. 被引量:1
  • 3Dai Y H, Yuan Y. A nonlinear conjugate gradient method with a strong global convergebce property [J], SIAM Journal onOptimization, 1999,10(1): 177—182. 被引量:1
  • 4Zhou W J, Li D H. Limited memory BFGS method for nonlinear monotone equations[J]. Journal of Computational andApplied Mathematics, 2007,25: 89—96. 被引量:1
  • 5Xiao Y H, Zhu H. A conjugate gradient method to solve convex constrained monotone equations with applications incompressive sensing[EB/OL]. Journal of Mathematical Analysis and Applications, http://dx.d0i.0rg/l 0.1016/j .jmaa.2013-04-017. 被引量:1
  • 6Zhang L, Zhou W J, Li D H. A descent modified Polak-Ribidre-Polyak conjugate gredient method and its global.convergence[J]. IMA Journal of Numerical Analysis, 2006,26(4): 629—940. 被引量:1

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