| 非对角占优三对角方程组的一类解法及其数值实验 |
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| 引用本文： | 刘轶中.非对角占优三对角方程组的一类解法及其数值实验[J].河北省科学院学报,2010,27(3):1-7. |
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| 作者姓名： | 刘轶中 |
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| 作者单位： | 贵州大学理学院数学系,贵州贵阳550025 |
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| 基金项目： | 贵州省省长优秀科技人才项目，贵州大学引进人才科研项目 |
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| 摘 要： | 本文针对非对角占优三对角方程组,通过矩阵变换,可将其化为五对角方程组,证明了该系数矩对称正定,并给出了一组对角占优的充分条件,从而可用多种方法有效地求解。用数值实验验证了该算法的有效性。
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| 关 键 词： | 非对角占优 三对角方程组 对称正定 对角占优 数值实验 |
Class of Algorithms and Numerical Experiments about the Nondiagonally Dominant Tridiagonal Equations |
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| LIU Yi-zhong.Class of Algorithms and Numerical Experiments about the Nondiagonally Dominant Tridiagonal Equations[J].Journal of The Hebei Academy of Sciences,2010,27(3):1-7. |
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| Authors: | LIU Yi-zhong |
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| Institution: | LIU Yi-zhong (Department of Mathematics, College of Science, Guizhou University, Guiyang 550025, China) |
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| Abstract: | In this paper,the nondiagonally dominant tridiagonal equations can be translated into pentadiagonal equations by matrix transformation. The coefficient matrix is proved symmetric positive definite matrix,and some sufficient condition for diagonally dominance is gived. The equations can be effecttively solved by many ways and the effectiveness of the algorithm is illustrated by numerical experiments. |
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| Keywords: | Nondiagonalty dominant Tridiagonal equations Symmetric positive definite Diagonally dominant Numerical experiment |
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