| 带有线性不等式约束平差模型的算法研究 |
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| 引用本文： | 宋迎春,左廷英,朱建军.带有线性不等式约束平差模型的算法研究[J].测绘学报,2008,37(4):0-520. |
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| 作者姓名： | 宋迎春 左廷英 朱建军 |
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| 作者单位： | 中南大学,信息物理工程学院,湖南,长沙,410083;西安测绘研究所,陕西,西安,710054;中南大学,信息物理工程学院,湖南,长沙,410083 |
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| 基金项目： | 国家自然科学基金项目
，
教育部博士点基金项目
，
湖南省自然科学基金项目
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| 摘 要： | 本文研究参数带有不等式约束平差模型的一种新算法。采用的方法是先将参数带有不等式约束的最小二乘问题转换成凸二次规划问题,然后利用二次规划的Kuhn-Tucker条件把二次规划问题转换成线性互补问题(LCP),从而求得参数最小二乘估计的一般形式,并给出算法,便于在实际测量中应用。
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| 关 键 词： | 不等式约束 最小二乘估计 平差模型 Kuhn-Tucker条件 |
Research on Algorithm of Adjustment Model with Linear Inequality Constrained Parameters |
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| SONG Ying-chun,ZUO Ting-ying,ZHU Jian-jun.Research on Algorithm of Adjustment Model with Linear Inequality Constrained Parameters[J].Acta Geodaetica et Cartographica Sinica,2008,37(4):0-520. |
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| Authors: | SONG Ying-chun ZUO Ting-ying ZHU Jian-jun |
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| Institution: | SONG Ying-chun1,2,ZUO Ting-ying1,ZHU Jian-jun11.School of Info Physics and Geomatics Engineering,Central South University,Changsha 410083,China,2.Xi'an Research Institute of Surveying and Mapping,Xi'an 710054,China |
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| Abstract: | This paper studies adjustment model with inequality constrained parameters,and puts forward a new algorithm for it.In this algorithm,inequality constrained least-square problems are first translated to convex quadratic programming problems and then translated to the linear complementarity problem(LCP) using Kuhn-Tucker conditions of quadratic programming,which consequently gives the general form of least-squares estimation in adjustment model,as well as the algorithm is simple and easy to understand.A comparative calculation on a simulation example indicates that this algorithm can be applied to adjustment computation in the practical measurement. |
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| Keywords: | inequality constrains least-squares estimation adjustment model Kuhn-Tucker conditions |
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