LUO Sanming, BO Wanju, HUANG Quhong, WANG Xining. A Method of Generalized Inverse Adjustment Based on Improved Gram-Schmidt Orthogonalization[J]. Geomatics and Information Science of Wuhan University, 2012, 37(2): 174-177.
Citation: LUO Sanming, BO Wanju, HUANG Quhong, WANG Xining. A Method of Generalized Inverse Adjustment Based on Improved Gram-Schmidt Orthogonalization[J]. Geomatics and Information Science of Wuhan University, 2012, 37(2): 174-177.

A Method of Generalized Inverse Adjustment Based on Improved Gram-Schmidt Orthogonalization

Funds: 地震行业科研专项重大资助项目(200908029);;国家测绘局科技创新资助项目(2007-01);;中国地震局第一监测中心青年基金联合资助项目(200901)
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  • Received Date: December 14, 2011
  • Published Date: February 04, 2012
  • 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.
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