| 不等式约束Partial EIV模型的WHP拟牛顿修正解法及其精度评定的SUT法 |
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| 引用本文： | 王乐洋,邹传义,吴璐璐.不等式约束Partial EIV模型的WHP拟牛顿修正解法及其精度评定的SUT法[J].大地测量与地球动力学,2019,39(6):648-653. |
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| 作者姓名： | 王乐洋 邹传义 吴璐璐 |
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| 作者单位： | 东华理工大学测绘工程学院;国家自然资源部流域生态与地理环境监测重点实验室;江西省数字国土重点实验室;江西水利职业学院建筑工程系 |
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| 摘 要： | 提出一种确定不等式约束Partial EIV模型解及精度评定的新方法，在总体最小二乘准则下，将附有不等式约束的Partial EIV模型转换为标准最优化问题。采取WHP拟牛顿修正的SQP方法求解，并利用SUT法对参数估值进行精度评定，可以减小迭代次数、提高收敛速度，且精度评定方法简单有效。
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| 关 键 词： | 总体最小二乘 不等式约束 Partial EIV模型 拟牛顿修正 SUT法 |
The WHP Quasi Newton Correction Method for Inequality Constrained Partial EIV Model and the SUT Method for Its Precision Estimation |
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| WANG Leyang,ZOU Chuanyi,WU Lulu.The WHP Quasi Newton Correction Method for Inequality Constrained Partial EIV Model and the SUT Method for Its Precision Estimation[J].Journal of Geodesy and Geodynamics,2019,39(6):648-653. |
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| Authors: | WANG Leyang ZOU Chuanyi WU Lulu |
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| Abstract: | We propose a new method to determine solution and precision evaluation of the inequality constrained partial errors-in-variables(Partial EIV) model. Under the total least square rule, the inequality constrained Partial EIV model is converted to standard optimization problems. Using the WHP(Wilson-Han-Powell) quasi Newton correction sequential quadratic programming(SQP) to solve the problem, the SUT method is used to evaluate the accuracy of parameter estimation. Simulation results show that this method can reduce iterations and increase convergence rate, the precision evaluation is simple and effective. |
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| Keywords: | total least square inequality constraint Partial EIV model quasi Newton correction SUT method |
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