| ON THE GLOBAL CONVERGENCE OF CONJUGATE GRADIENT METHODS WITH INEXACT LINESEARCH |
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| 作者姓名： | 刘光辉 韩继业 |
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| 作者单位： | Institute of Applied Mathematics，Academia sinica，Beijing 100080，PRC，Institute of Applied Mathematics，Academia sinica，Beijing 100080，PRC |
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| 基金项目： | This work is supported by the National Natural Science Foundation of China |
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| 摘 要： | In this paper we consider the global convergence of any conjugate gradient method of the form d1=-g1,dk+1=-gk+1+βkdk(k≥1)with any βk satisfying sume conditions,and with the strong wolfe line search conditions.Under the convex assumption on the objective function,we preve the descenf property and the global convergence of this method.
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ON THE GLOBAL CONVERGENCE OF CONJUGATE GRADIENT METHODS WITH INEXACT LINESEARCH |
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| Liu Guang-hui Institute of Applied Mathematics,Academia sinica,Beijing ,PRC,Hau Ji-ye Institute of Applied Mathematics,Academia sinica,Beijing ,PRC.ON THE GLOBAL CONVERGENCE OF CONJUGATE GRADIENT METHODS WITH INEXACT LINESEARCH[J].Numerical Mathematics A Journal of Chinese Universities English Series,1995(2). |
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| Authors: | Liu Guang-hui Institute of Applied Mathematics Academia sinica Beijing PRC Hau Ji-ye Institute of Applied Mathematics Academia sinica Beijing PRC |
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| Institution: | Liu Guang-hui Institute of Applied Mathematics,Academia sinica,Beijing 100080,PRC,Hau Ji-ye Institute of Applied Mathematics,Academia sinica,Beijing 100080,PRC |
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| Abstract: | |
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| Keywords: | Conjugate gradient method strong Wolfe line search global convergence |
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