| 地球物理资料非线性反演方法讲座(六)共轭梯度法 |
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| 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 |
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| 作者姓名： | 朱培民 王家映 |
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| 作者单位： | 中国地质大学地球物理与空间信息学院;中国地质大学地球物理与空间信息学院 |
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| 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。
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| 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 |
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| 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 |
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| Authors: | Zhu Peimin Wang Jiaying |
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| Affiliation: | ( Institute of Geophysics and Geomatics , China University of Geosciences , Wuhan , 430074, China) |
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| 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. |
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| Keywords: | Inversion conjugate gradient sochastic conjugate gradient |
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