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有界不确定性平差模型的一种迭代算法
引用本文:夏玉国,宋迎春,赵邵杰.有界不确定性平差模型的一种迭代算法[J].大地测量与地球动力学,2020,40(2):152-155.
作者姓名:夏玉国  宋迎春  赵邵杰
作者单位:中南大学地球科学与信息物理学院;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
基金项目:国家自然科学基金(41674009,41574006,41674012)~~
摘    要:本文将不确定性平差模型与参数的有界不确定性相结合,建立有界不确定性平差模型,并从等式约束出发,利用无限权和零权的思想,将不确定性平差算法与不等式约束中的罚函数相结合,提出有界不确定性平差迭代算法,并通过算例验证其可行性和有效性。

关 键 词:不确定性  等式约束  不等式约束  系数矩阵  无限权和零权

An Iterative Algorithm for Adjustment Model with Uncertainty and Inequality Constraints
XIA Yuguo,SONG Yingchun,ZHAO Shaojie.An Iterative Algorithm for Adjustment Model with Uncertainty and Inequality Constraints[J].Journal of Geodesy and Geodynamics,2020,40(2):152-155.
Authors:XIA Yuguo  SONG Yingchun  ZHAO Shaojie
Institution:(School of Geoscience and Info-Physics,Central South University,932 South-Lushan Road,Changsha 410083,China;Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring,Ministry of Education,Central South University,932 South-Lushan Road,Changsha 410083,China)
Abstract:In this paper, an adjustment model with uncertainty and inequality constraints is established by combining the bounded uncertainty of parameters with the adjustment model with uncertainty. Then, the corresponding iterative algorithm with uncertainty and inequality constraints is put forward, starting from the equality constraints, using the idea of infinite weight and zero weight, and combining the uncertainty adjustment algorithm with the penalty function in the inequality constraints. Finally, an example further verifies the feasibility and effectiveness of the algorithm.
Keywords:uncertainty  equality constraint  inequality constraint  coefficient matrix  infinite weight and zero weight  
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