| 平差不适定问题解性质与正则参数的确定方法 |
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| 引用本文： | 丁士俊,靳祥升.平差不适定问题解性质与正则参数的确定方法[J].测绘科学,2006,31(2):22-24. |
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| 作者姓名： | 丁士俊 靳祥升 |
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| 作者单位： | 1. 武汉大学测绘学院,武汉,430079
2. 黄河水利职业技术学院,河南,开封,475001 |
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| 摘 要： | 对于测量平差不适定问题的求解问题,大都可归结Tikhonov正则准则下的极值问题,而正则参数求解又至关重要。本文在讨论其解性质的基础上,归纳与总结了不适定问题正则参数的几种确定方法,通过两个算例对几种方法进行了综合分析与比较,指出了其方法的适用性及特点。
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| 关 键 词： | 测量平差 不适定问题 正则参数 Tikhonov正则准则 |
| 文章编号： | 1009-2307(2006)02-0022-03 |
| 收稿时间： | 2005-04-06 |
| 修稿时间： | 2005年4月6日 |
Solution properties of Ill-posed problem in adjustment and resolution of regularization parameter |
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| DING Shi-jun,JIN Xiang-sheng.Solution properties of Ill-posed problem in adjustment and resolution of regularization parameter[J].Science of Surveying and Mapping,2006,31(2):22-24. |
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| Authors: | DING Shi-jun JIN Xiang-sheng |
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| Abstract: | Solutions of ill-posed problem in surveying adjustment are most ascribed to problem of extremum on the principle of Tikhonov regularization.And choice of regularization parameter is very important.In this paper,solution properties are discussed and some choice methods of regularization parameter on ill-posed problem are summarized.In the last section of this paper,some choice methods are synthetically analyzed and compared by two examples,and the applicabilities and characteristics of some choice methods are given. |
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| Keywords: | surveying adjustment ill-posed problem regularization parameter tikhonov regularization |
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