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部分有界不确定性数据平差方法

针对传统最小二乘法以及总体最小二乘法不完全适合于系数矩阵带有有界误差,及有界不确定性数据平差方法也不能直接用于系数矩阵只是部分带有有界误差的问题,基于有界误差问题的平差方法,给出解决部分有界问题的迭代算法,并验证该方法的有效性。     

有界椭球不确定性平差算法在病态问题中的应用

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。     

Land Use Allocation Based on Interval Multi-objective Linear Programming Model： A Case Study of Pi County in Sichuan Province

Adjusting and optimizing land use structure is one of the essential approaches to solve the conflict between land supply and demand. In this study,an uncertain interval multi-objective linear programming model was established and applied to analyzing the suitability of land use structure in Pi County of Sichuan Province. An adjustment scheme for optimizing land use structure was proposed on the basis of development planning drawn up by the local government. The results are summarized as follows: 1) the opti...     

参数带椭球约束平差算法的应用

针对实际工程应用中遇到的参数带有范围约束的情形，提出带椭球约束的平差算法，并给出其具体模型和解算步骤。数值模拟实验和病态测边网数据计算表明，在处理病态问题时，最小二乘平差（least-squares，LS）已不适用，而与岭估计、奇异值分解法（singular value decomposition，SVD）以及不等式约束相比，本文算法精度更高。     

带球约束的平差算法及应用

针对测量数据处理中由于观测信息不充分以及对参数物理信息和先验信息的利用不充分引起的病态问题,利用先验信息对参数加以约束,将测量平差问题转化为凸二次规划问题,提出一种带有球约束的平差模型。根据最优化理论,基于Kuhn-Tucker条件,研究球约束下的平差问题,并针对该模型提出解算方法。模拟数值实验和测边网实例应用结果表明,该方法在处理病态问题上具有明显的更优估计,可以广泛应用于大地测量病态数据处理。     

多维观测的矩阵参数建模与加权最小二乘估计

针对常规向量参数法多维观测建模与平差效率低的问题，分析指出多维观测矩阵参数建模条件应满足不同观测维度的参数独立且个数相等特点（简称独立同构特征），进而利用该建模条件、Kronecker积运算性质和加权最小二乘原理提出矩阵参数建模与加权最小二乘估计方法。该方法顾及不同观测维互相关性，增大系数阵稠密度，降低法矩阵阶数，从而有效提高了建模与平差计算效率。空间直线和GPS站坐标时序模型计算结果均表明，向量参数法和矩阵参数法平差结果相同，但后者具有更高的存储与计算效率。     

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有界不确定性平差模型的一种迭代算法

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。     

Uncertainty analysis of gravity data inversion

The traditional gravity modelling methods fail to deal with ambiguity zones.These zones are likely to be associated with uncertain boundaries.Source boundaries can be divided into "hard" and "soft" types."Hard" boundary stands for distinguished margin of discontinuity of source distributions.Traditional modelling method is based on this type of boundary.Uncertain boundaries of ambiguity zones belong to"soft" boundary. The authors put forward the uncertainty analysis because lots of uncertainty factors need to be taken into consid-eration.Any powerful system designed to interpret gravity data for a real source distribution must be able to deal with uncertain information.Uncertainty analysis ( UA) is a useful tool to estimate the ambiguity of the data in-terpretation.It is often applied in conjunction with a specific modelling or inversion method.In this study, we use an iterative inversion and its results are evaluated using uncertainty analysis and proved to be effective.     

基于多元整体最小二乘优化的多点灰色动态变形分析模型

提出一种多元整体最小二乘优化的多点灰色动态模型,并结合实例验证优化的MGM(1,n)模型的优越性。将优化的MGM(1,n)模型与一般的MGM(1,n)模型进行对比,分析两种模型的建模值和预测值。结果表明,优化的MGM(1,n)模型在建模数据多于4期的情况下建模精度更高,预测精度更准确,更符合实际情况。