| 线性不等式约束平差模型的一种解算方法 |
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| 引用本文： | 曾磊,左廷英,罗亮. 线性不等式约束平差模型的一种解算方法[J]. 北京测绘, 2010, 0(4): 1-3,17. DOI: 10.3969/j.issn.1007-3000.2010.04.001 |
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| 作者姓名： | 曾磊 左廷英 罗亮 |
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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;中南大学,信息物理工程学院,湖南,长沙,410083;中南大学,信息物理工程学院,湖南,长沙,410083 |
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| 摘 要： | 不等式约束是实际测量中存在的一种约束,本文利用整标集法求解附线性不等式约束平差模型。首先了介绍带有不等式约束平差的最小二乘问题转化成凸二次规划问题,然后在Kuhn-Tucker条件下把二次规划问题转换成线性互补问题的基础上,利用整标集法来求出参数的最佳估值,最后通过一个数值算例来说明了该方法的可行性。
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| 关 键 词： | 不等式约束平差 整标集法 Kuhn-Tucker条件 线性互补问题 |
A Approach to Solve Adjustment Model of Linear Inequality Constraints |
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| ZENG Lei,ZUO Ting-ying,LUO Liang. A Approach to Solve Adjustment Model of Linear Inequality Constraints[J]. Beijing Surveying and Mapping, 2010, 0(4): 1-3,17. DOI: 10.3969/j.issn.1007-3000.2010.04.001 |
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| Authors: | ZENG Lei ZUO Ting-ying LUO Liang |
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| Affiliation: | ZENG Lei,ZUO Ting-ying,LUO Liang(School of Info Physics , Geomantic Engineering,Central South University,Changsha Hunan 410083 China) |
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| Abstract: | The inequality constraints exist in the actual measurement,in this paper,we use the integer sets method to solve the adjustment model with linear inequality constraints.First,the inequality constrained least-square problem is transformed into a convex quadratic programming problem,then under the circumstance of Kuhn-Tucker condition,quadratic programming problem is translated into the linear complementarity problem(LCP) then entire standard set method is applied to calculate good valuation of parameters,At ... |
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| Keywords: | inequality-constrained adjustment integer sets method Kuhn-Tucker condition linear complementarity problem |
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