Toeplitz矩阵的循环延拓及其分析与应用
Contribuinte(s) |
张毅刚 |
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Data(s) |
2004
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Resumo |
In this paper, we have presented the combined preconditioner which is derived from k =±-1~(1/2) circulant extensions of the real symmetric positive-definite Toeplitz matrices, proved it with great efficiency and stability and shown that it is easy to make error analysis and to remove the boundary effect with the combined preconditioner. This paper has also presented the methods for the direct and inverse computation of the real Toeplitz sets of equations and discussed many problems correspondingly, especially replaced the Toeplitz matrices with the combined preconditoners for analysis. The paper has also discussed the spectral analysis and boundary effect. Finally, as an application in geophysics, the paper makes some discussion about the squared root of a real matrix which comes from the Laplace algorithm. |
Identificador | |
Idioma(s) |
中文 |
Fonte |
Toeplitz矩阵的循环延拓及其分析与应用.梅金顺[d].中国科学院中科院地质与地球物理研究所,2004.20-25 |
Palavras-Chave | #综合型预条件矩阵 #快速正 #反演计算 #频谱分析 #边界效应 |
Tipo |
学位论文 |