| 改进高斯-牛顿法的位场向下延拓 | |
| 曾小牛 ; 刘代志 ; 牛超 ; 齐玮 ; ZENG Xiaoniu ; LIU Daizhi ; NIU Chao ; QI Wei | |
| 2016-03-30 ; 2016-03-30 | |
| 关键词 | 位场 高斯-牛顿法 向下延拓 正则参数 残差最小准则 potential field Gauss-Newton method downward continuation regularization parameter minimal residual criterion P631 |
| 其他题名 | A Modified Gauss-Newton Method for Downward Continuation of Potential Field |
| 中文摘要 | 针对位场向下延拓的不适定问题,在分析最优化算法中高斯-牛顿法基本原理及滤波函数滤波特性的基础之上,提出基于正则参数指数递增计算方法和残差最小步长准则的改进高斯-牛顿法。基于理论重力模型和航磁实测数据的对比试验表明,改进后得到的自适应迭代法具有相对较高的位场向下延拓精度和很好的收敛性。; For the ill-posed problem of potential field downward continuation,a novel improved iterative method is proposed based on the analysis of the basic principle and the filter characteristic of the filter function of the Gauss-Newton method.This novel improved method uses an incremental geometric regularization parameter adaptive choice method and the minimal residual criterion for the iterative step choice.The comparison analysis of gravity theoretical model and real geomagnetic data shows that the proposed iterative method has high downward continuation accuracy and good convergence. |
| 语种 | 中文 ; 中文 |
| 内容类型 | 期刊论文 |
| 源URL | [http://ir.lib.tsinghua.edu.cn/ir/item.do?handle=123456789/146545]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | 曾小牛,刘代志,牛超,等. 改进高斯-牛顿法的位场向下延拓[J],2016, 2016. |
| APA | 曾小牛.,刘代志.,牛超.,齐玮.,ZENG Xiaoniu.,...&QI Wei.(2016).改进高斯-牛顿法的位场向下延拓.. |
| MLA | 曾小牛,et al."改进高斯-牛顿法的位场向下延拓".(2016). |
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