Solving method of generalized nonlinear dynamic least squares for data processing in building of digital mine

Data are very important to build the digital mine. Data come from many sources, have different types and temporal states. Relations between one class of data and the other one, or between data and unknown parameters are more nonlinear. The unknown parameters are non-random or random, among which the random parameters often dynamically vary with time. Therefore it is not accurate and reliable to process the data in building the digital mine with the classical least squares method or the method of the common nonlinear least squares. So a generalized nonlinear dynamic least squares method to process data in building the digital mine is put forward. In the meantime, the corresponding mathematical model is also given. The generalized nonlinear least squares problem is more complex than the common nonlinear least squares problem and its solution is more difficultly obtained because the dimensions of data and parameters in the former are bigger. So a new solution model and the method are put forward to solve the generalized nonlinear dynamic least squares problem. In fact, the problem can be converted to two sub-problems, each of which has a single variable. That is to say, a complex problem can be separated and then solved. So the dimension of unknown parameters can be reduced to its half, which simplifies the original high dimensional equations. The method lessens the calculating load and opens up a new way to process the data in building the digital mine, which have more sources, different types and more temporal states.     

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本文以模糊数学理论为基础，通过对影响地形图质量的多种因素分析，建立了地形图质量评定的模糊综合评判模型。实例分析表明该模型可以克服传统地形图评价方法的主观性和模糊性，证明该法是行之有效的。     

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Non-derivative solution to nonlinear dynamic optimal design of class two for deformation network monitoring

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矿区GPS测量控制网实践

目前已经广泛利用GPS技术进行测量控制网的建立。该文介绍了矿区GPS控制网的布设方案、作业设计和数据处理方法,分析了网的实测精度及注意事项。实际观测结果表明,矿区GPS控制网具有较高的精度。