| GPS资料同化中一种快速优化算法 |
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| 作者姓名： | KUANG Zheng WANG Bin YANG Hualin |
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| 作者单位： | [1]LASG,InstituteofAtmosphericPhysics,ChineseAcademyofSciences,Belting100029 [2]HarbinInstituteofTechnology,Harbin150001 |
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| 基金项目： | the National Excellent Youth Fund(Grant No.
49825109)，the CAS Key Innovation Direction Project
(Grant No.KZCX2-208),and LASG Project. |
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| 摘 要： | GPS资料同化最终归结为一个大规模的无约束优化问题。由于问题的维数很高，使得寻找到一种快速且节约存储的优化算法成为GPS资料同化能否满足在业务数值天气预报上的要求的关键。提出了一种新的优化算法。该方法把L-BFGS和HFN两种方法动态的结合起来，同时利用有限差分技术和截去技术，使算法在存储和计算量适合当前设备的前提下，较大的提高了算法的收敛速度。数值试验表明，该方法的计算效率与L-BFGS方法相比有十分明显的改善。
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| 关 键 词： | GPS资料同化 快速优化算法 无约束优化 数值预报 天气预报 L－BFGS方法 HFN方法 |
| 收稿时间： | 20 January 2002 |
A rapid optimization algorithm for GPS data assimilation |
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| KUANG Zheng,WANG Bin,YANG Hualin.A rapid optimization algorithm for GPS data assimilation[J].Advances in Atmospheric Sciences,2003,20(3):437-441. |
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| Authors: | Kuang Zheng Wang Bin Yang Hualin |
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| Institution: | LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029;Harbin Institute of Technology, Harbin 150001,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029,LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029;Harbin Institute of Technology, Harbin 150001 |
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| Abstract: | Global Positioning System (GPS) meteorology data variational assimilation can be reduced to theproblem of a large-scale unconstrained optimization. Because the dimension of this problem is too large,most optimal algorithms cannot be performed. In order to make GPS/MET data assimilation able tosatisfy the demand of numerical weather prediction, finding an algorithm with a great convergence rateof iteration will be the most important thing. A new method is presented that dynamically combines thelimited memory BFGS (L-BFGS) method with the Hessian-free Newton(HFN) method, and it has a goodrate of convergence in iteration. The numerical tests indicate that the computational efficiency of themethod is better than the L-BFGS and HFN methods. |
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| Keywords: | GPS data assimilation L-BFGS method HFN method large-scale optimization |
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