| 求解块三对角方程组的新算法 |
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| 引用本文： | 卢学飞,徐仲.求解块三对角方程组的新算法[J].数学的实践与认识,2007,37(3):112-118. |
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| 作者姓名： | 卢学飞 徐仲 |
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| 作者单位： | 西北工业大学应用数学系,西安,710072 |
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| 摘 要： | 根据块三对角矩阵的特殊分解,给出了求解块三对角方程组的新算法.该算法含有可以选择的参数矩阵,适当选择这些参数矩阵,可以使得计算精度较著名的追赶法高,甚至当追赶法失效时,由该算法仍可得到一定精度的解.
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| 关 键 词： | 块三对角矩阵 追赶法 |
| 修稿时间： | 2005年12月1日 |
A New Algorithm of Solving Block Tridiagonal Systems |
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| LU Xue-fei,XU Zhong.A New Algorithm of Solving Block Tridiagonal Systems[J].Mathematics in Practice and Theory,2007,37(3):112-118. |
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| Authors: | LU Xue-fei XU Zhong |
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| Abstract: | A new algorithm of solving block tridiagonal systems is proposed,which is based on the special factorization of block tridiagonal matrix.The algorithm includes selective parameter-matrices.Proper selected parameter-matrices make new algorithm higher in precision than the famous Thomas algorithm. When the Thomas algorithm invalidate for some numerical examples,the new algorithm can solve. |
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| Keywords: | block tridiagonal matrix Thomas algorithm |
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