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《Progress In Geophysics》 2001-04
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GRAPHIC METHOD AND ITS APPLICATION TO THE DECOMPOSITION OF TOPELITZ MATRIX

GAO Hong wei LI You ming LIU Hong (Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, 100101, China)  
The solution of a sparse positive definite system of equations based on the graphic method is completed, and on the basis of this algorithm we complete the LU decomposition of a large sparse matrix with the structure of Toeplitz. In the processing methods of seismic data based on wave equations such as implicit methods of modeling of seismic wave field and prestack migration, the rapid decomposition of Laplacian or Helmholtz operator is the key to complete these methods. With a helix boundary condition, the expressing matrix of these operators has the structure of Toeplitz, it can be decomposed rapidly with the method proposed in this article.
【Fund】: 国家自然科学基金;; 大庆油田联合项目 (4 9894190 );; 中国科学院知识创新工程重大项目 (KZCX1 Y0 1)
【CateGory Index】: P631.4
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