APPLICATION OF JACOBI NUMERICAL METHOD IN INVERSE PROBLEM OF REAL SYMMETRY MATRIX
Wang Jiexian 1,2) ;and Fen Baoxin 3)
1)Department of Surveying and Geo-Informatics,Tongji Universitey,Shanghai 2000922)Key Lab. of Advanced Surveying Engineering of State Bureau of Surveying and Mapping,Shanghai 2000923)Shanghai Runner Infotech Co. Ltd,Shanhai 200092
Abstract：Least square is general approach in surveying adjustment, where inversion of normal equation is inevitable. The algorithm of Jacobi numerical method for inversing real symmetry matrix is introduced. By orthogonal transformation, the non diagonal elements can be changed to zero and eigenvalues with corresponding eigenvectors are obtained. It makes the inversion of matrix very easy. The ranks of normal equation are the number of nonzero eigenvalues. The approach is numerical so can be realized easily with a computer.
