| 有界椭球不确定性平差算法在病态问题中的应用 |
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| 引用本文： | 夏玉国,宋迎春.有界椭球不确定性平差算法在病态问题中的应用[J].大地测量与地球动力学,2019,39(9):956-959. |
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| 作者姓名： | 夏玉国 宋迎春 |
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| 作者单位： | 中南大学地球科学与信息物理学院,长沙市麓山南路932号,410083;中南大学有色金属成矿预测与地质环境监测教育部重点实验室,长沙市麓山南路932号,410083;中南大学地球科学与信息物理学院,长沙市麓山南路932号,410083;中南大学有色金属成矿预测与地质环境监测教育部重点实验室,长沙市麓山南路932号,410083 |
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| 基金项目： | 国家自然科学基金;国家自然科学基金;国家自然科学基金 |
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| 摘 要： | 利用椭球约束描述观测向量和参数的有界不确定先验信息，并将其融入到测量平差模型中，建立新的平差准则对不适定性进行抑制。通过模拟算例和测边网病态数据，比较本方法与其他多种方法的优劣，验证有界椭球不确定性平差方法处理病态问题的有效性。
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| 关 键 词： | 不确定性 椭球约束 病态问题 岭估计 |
Application of Bounded Ellipsoid Uncertainty Adjustment Algorithm to Ill-Conditioned Problem |
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| XIA Yuguo,SONG Yingchun.Application of Bounded Ellipsoid Uncertainty Adjustment Algorithm to Ill-Conditioned Problem[J].Journal of Geodesy and Geodynamics,2019,39(9):956-959. |
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| Authors: | XIA Yuguo SONG Yingchun |
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| Abstract: | In this paper, ellipsoidal constraints are used to describe the bounded prior information of observation vectors and parameters, which are incorporated into the measurement adjustment model. A new adjustment criterion is established to suppress discomfort. Simulation examples and ill-conditioned data of the distance-measuring network are given to show the advantages and disadvantages of ellipsoidal constraint algorithm and other methods，and verify the validity of the bounded ellipsoidal uncertainty adjustment method in dealing with ill-posed problems. |
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| Keywords: | uncertainty ellipsoid constraint ill-conditioned problem ridge estimation |
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