| 附不等式约束最小二乘平差的一种新算法 |
| |
| 引用本文： | 谢建,朱建军.附不等式约束最小二乘平差的一种新算法[J].测绘科学,2010,35(3):82-84. |
| |
| 作者姓名： | 谢建 朱建军 |
| |
| 作者单位： | 中南大学,信息物理工程学院,测绘与国土信息工程系,长沙,410083;中南大学,信息物理工程学院,测绘与国土信息工程系,长沙,410083 |
| |
| 摘 要： | 在大地测量数据处理中,很多情况下可根据先验知识建立合理的不等式约束,能够改善平差结果,提高精度。首先简要总结了附不等式约束平差的各种方法及存在的问题。根据有效约束和库恩塔克条件,提出了解决不等式约束平差的新算法,把不等式约束平差转化为等式约束平差问题,从而得到解的显示表达。最后用一数值算例证明了该算法的可行性。
|
| 关 键 词： | 不等式约束 最小二乘法 库恩-塔克条件 有效约束 |
A new approach to inequality constrained least-squares adjustment |
| |
| XIE Jian,ZHU Jian-jun.A new approach to inequality constrained least-squares adjustment[J].Science of Surveying and Mapping,2010,35(3):82-84. |
| |
| Authors: | XIE Jian ZHU Jian-jun |
| |
| Abstract: | In geodetic data processing, inequality constraints can be established according to prior information under many circumstances that can improve the results and precision. Existed methods of dealing with inequality constraints are briefly summarized firstly. And then, based on active constraints and Kuhn-Tucker condition, a new algorithm is proposed which transforms the inequality constraints to equality constraints and the solutions are the explicit expression of observations. At last a numerical example is given to show the feasibility of this method. |
| |
| Keywords: | inequality constraints least squares Kuhn-Tucker condition active constraints |
| 本文献已被 万方数据 等数据库收录！ |
|
