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大地测量与地球动力学 2010
APPLICATION OF JACOBI NUMERICAL METHOD IN INVERSE PROBLEM OF REAL SYMMETRY MATRIX
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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 non-zero eigenvalues.The approach is numerical so can be realized easily with a compute...