一个三项共轭梯度算法及其收敛性
A Three- Terms Conjugate Gradient Algorithm and ItsConvergence
DOI: 10.12677/pm.2011.11009, PDF, 下载: 3,542  浏览: 11,886 
作者: 陈海：广西大学数学与信息科学学院，南宁
关键词: 共轭梯度；充分下降；收敛性
Conjugate Gradient; Sufficient Descent Property; Convergence.
摘要: 本文给出一个三项共轭梯度算法，搜索方向在不需要任何线搜索的条件下，拥有充分下降性条件，在此方向的定义中，不但拥有梯度值信息还拥有函数值信息，证明了全局收敛性并给出数值检验结果。
Abstract: In this paper, a three- terms conjugate gradient method is proposed .The search direction possesses the sufficient descent property without any line search. Moreover, the search direction has not only the gradient value but also function value. The global convergence will be established and the numerical results are reported.
文章引用：陈海. 一个三项共轭梯度算法及其收敛性[J]. 理论数学, 2011, 1(1): 41-45. http://dx.doi.org/10.12677/pm.2011.11009

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