非线性不等式约束平差的一种新岭估计算法  

A New Ridge Estimation Algorithm for Nonlinear Inequality Constrained Adjustment

作　　者：李文娜 宋迎春[1] 邓伟 谢雪梅 LI Wenna;SONG Yingchun;DENG Wei;XIE Xuemei(School of Geosciences and Info-Physics,Central South University,932 South-Lushan Road,Changsha 410083,China;School of Civil Engineering,Central South University of Forestry and Technology,498 South-Shaoshan Road,Changsha 410004,China)

机构地区：[1]中南大学地球科学与信息物理学院,长沙市410083 [2]中南林业科技大学土木工程学院,长沙市410004

出　　处：《大地测量与地球动力学》2022年第5期494-498,共5页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(41674009,41574005)。

摘　　要：利用先验信息对参数加以约束,建立非线性不等式约束平差模型,并提出一种新的岭估计算法解算该平差模型。2个病态算例实验证明了本文算法的有效性,且计算结果精度高于普通岭估计。This paper uses the a priori information to constrain the parameters,establishes a nonlinear inequality constrained adjustment model,and proposes a new ridge estimation algorithm for solving this adjustment model.The computational results of the two ill-posed examples in this paper show that the new ridge estimation algorithm is feasible,and the accuracy of the calculation results is higher than that of ordinary ridge estimation.

关 键 词：病态问题 先验信息 非线性 岭估计 双对角化 

分 类 号：P207[天文地球—测绘科学与技术]