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地球物理资料非线性反演方法讲座(六)——共轭梯度法
引用本文:朱培民,王家映.地球物理资料非线性反演方法讲座(六)——共轭梯度法[J].工程地球物理学报,2008,5(4):381-386.
作者姓名:朱培民  王家映
作者单位:中国地质大学地球物理与空间信息学院
摘    要:概要地介绍了在非启发式非线性反演方法——共轭梯度法的原理、算法、优点,以及它的局限性,和改进型算法:一种全局收敛的随机共轭梯度法。最后通过一个例子来说明共轭梯度法及其改进型算法的优缺点。

关 键 词:反演  共轭梯度法  随机共轭梯度法

Lecture on Non-Linear Inverse Methods in Geophysical Data(6) Conjugate Gradient Method
Zhu Peimin,Wang Jiaying.Lecture on Non-Linear Inverse Methods in Geophysical Data(6) Conjugate Gradient Method[J].Chinese Journal of Engineering Geophysics,2008,5(4):381-386.
Authors:Zhu Peimin  Wang Jiaying
Affiliation:( Institute of Geophysics and Geomatics , China University of Geosciences , Wuhan , 430074, China)
Abstract:This paper briefly introduces a non- heuristic and non- linear inverse method -- Conjugate Gradient Method, including its principle, algorithm, advantages and limitation, also introduces a method Stochastic Conjugate Gradient Method which is an improvement of traditional CG, a globally convergence and hybrid algorithm with stochastic hillclimbing technique. At last, a numerical test is given to show some advantages and disadvantages of Conjugate Gradient Method compared with Stochastic Conjugate Gradient Method.
Keywords:Inversion  conjugate gradient  sochastic conjugate gradient
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