| 不等式约束秩亏网平差的算法研究 |
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| 引用本文： | 谢建,朱建军.不等式约束秩亏网平差的算法研究[J].大地测量与地球动力学,2011,31(6):117-120. |
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| 作者姓名： | 谢建 朱建军 |
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| 作者单位： | 中南大学地球科学与信息物理学院，长沙 410083 |
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| 基金项目： | 国家自然科学基金，湖南省博士生科研创新项目 |
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| 摘 要： | 提出具有不等式约束的秩亏网平差模型，并设计了一种简单易行的算法。该算法将基准条件当作虚拟观测，基于库恩塔克条件，运用迭代的高斯消去法区分有效约束和无效约束，将不等式约束转化为等式约束的秩亏网平差问题求解。并以一个水准网的实例验证了算法的可行性与正确性。
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| 关 键 词： | 不等式约束 秩亏 有效约束 虚拟观测法 水准网平差 |
RESEARCH ON ALGORITHM OF INEQUALITY CONSTRAINED RANK DEFICIENT ADJUSTMENT |
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| Xie Jian,Zhu Jianjun.RESEARCH ON ALGORITHM OF INEQUALITY CONSTRAINED RANK DEFICIENT ADJUSTMENT[J].Journal of Geodesy and Geodynamics,2011,31(6):117-120. |
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| Authors: | Xie Jian Zhu Jianjun |
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| Institution: | School of Geosciences and Info-physics, Central South University, Changsha 410083 |
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| Abstract: | An inequality constrained rank deficient adjustment model is proposed and on its basis the algorithm which is simple and easy to implement is designed. In the algorithm the reference condition is treated as a virtual observation and by using iterative Gaussian elimination to distinguish active or inactive constraints based on Kuhn Tucker condition, and then the inequality constrained model is transformed into equality constrained rank deficient adjustment model. In addition,an example of level network is given to prove the feasibility and correctness of this algorithm. |
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| Keywords: | inequality constraints rank deficient active constraint virtual observation method level network adjustment |
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