The Gauss elimination method is used to solve the linear equations of the ill conditioned matrix - Hilbert matrix. Through the analysis of the condition number, the cause of the large error is found. The Jacobi iterative method, the G-S iteration method and the SOR iteration method are further explored. In addition, as a requirement, the conjugate gradient method is used to solve the equations, and the Tikhonov regularization method is used to improve the condition number of the matrix to reduce the error.

Filename	Size	Update
CG.m	575	2018-01-15
SOR.m	485	2018-01-15
Gauss.m	923	2018-01-15
Tikhonov.m	930	2018-01-15

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