| 分块三对角形行列式的计算及其推广 |
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| 引用本文： | 刘永建.分块三对角形行列式的计算及其推广[J].襄樊学院学报,2002,23(5):38-41,83. |
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| 作者姓名： | 刘永建 |
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| 作者单位： | 襄樊学院,数学系,湖北,襄樊,441053 |
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| 摘 要： | 文章统一了三对角行列式的具体表达式；通过对分块轮接矩阵知识的用运，给出了更一般的分块三对角行列式的表达式，推广了前人的一些结果，便于计算机实现，时间复杂度为O（nlog2n)。
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| 关 键 词： | 三对角对称方阵 分块矩阵 分块轮换矩阵 行列式 |
| 文章编号： | 1009-2854(2002)02-0038-04 |
Computation Formula of Block Tridiagonal Determinant and Population |
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| LIU Yong-jian.Computation Formula of Block Tridiagonal Determinant and Population[J].Journal of Xiangfan University,2002,23(5):38-41,83. |
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| Authors: | LIU Yong-jian |
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| Abstract: | This article makes a conclusion and regulates formula of tridiagonal determinant. By applying block cyclic matrix,the type of more general formula of block tridiagonal determinant is established and the conclusion of former researchers is populated so as to make it accessible to computer and render the time complexity to )log(2nnO. |
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| Keywords: | Ttridiagonal determinant Bblock matrix block cyclic matrix Determinant |
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