最小二乘估值均方差计算的矩阵体积法

¹中国测绘科学研究院,北京市海淀区北太平路16号,100039;²香港理工大学土地测量与地理资讯学系,香港九龙红磡;³山东科技大学测绘科学与工程学院,青岛市经济技术开发区前湾港路579号,266510

基金项目: 家测绘局重点实验室资助项目(B2531,200604,B2806)；国家863计划资助项目(2007AA12Z346)

详细信息

Matrix Volume Method of the Mean Square Deviation Computation of Least Square Solution

¹ Chinese Academy of Surveying and Mapping,16 Beitaiping Road,Haidian District,Beijing 100039,China; ² Department of Land Survey and Geo-informatics,The Hong Kong Polytechnic University,Hung Hom,Kowloon,Hong Kong,China;³ School of Survey Science and Engineering,Shandong University of Science and Technology,579 Qianwangang Road,Economic & Technical Development Zone,Qingdao 266510,China

Funds: 家测绘局重点实验室资助项目(B2531,200604,B2806)；国家863计划资助项目(2007AA12Z346)

摘要: 研究了最小二乘估值均方差计算的矩阵体积法,该方法无需计算最小二乘估值,其数值计算的稳定性较好,可在最小二乘解算前对系统的观测结构、函数模型的准确性和观测数据质量进行评价。
- 最小二乘平差 /
- 均方差 /
- 数值稳定性 /
- 矩阵体积 /
- 马氏体积
Abstract: A simple and stable mean square deviation computation method without solving the linear equations is presented.The observing structure,the quality of observations and the accuracy of the function model can be evaluated before applying least square adjustment by using the proposed method in this method.
- least square adjustment /
- mean square deviation /
- numerical stability /
- matrix volume /
- Mahalanobis volume