A method of generalized inverse adjustment based on improved Gram-Schmidt orthogonalization

被引：0

作者：

Luo, Sanming ^{[1
]}

Bo, Wanju ^{[1
]}

Huang, Quhong ^{[2
]}

Wang, Xining ^{[2
]}

机构：

[1] First Crust Deformation Monitoring and Application Center, CEA, 7 Naihuo Road, Tianjin 300180, China

[2] First Geodetic Surveying Brigade, SBSM, 4 Cehui Road, Xi'an 710054, China

来源：

Wuhan Daxue Xuebao (Xinxi Kexue Ban)/Geomatics and Information Science of Wuhan University | 2012年 / 37卷 / 02期

关键词：

Covariance matrix - Defects - Inverse problems;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Starting directly with coefficient matrix of condition equation or error equation, the least square solution by triangulation decomposition on coefficient matrix is carried on with improved Gram-Schmidt orthogonalization procedure. Then, the math formula and the calculation steps of solving generalized inverse matrix on improved Gram-Schmidt algorithm are deduced. The unknown solution vectors and the mathematical expression of the variance-covariance matrix are given through the generalized inverse expression. Two examples are used to verify its effect, and the results show that the modified Gram-Schmidt orthogonal method can process any matrix including rank defect array.

引用

页码：174 / 177