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| 计算周期三对角矩阵行列式和逆矩阵的新算法 | |
| 引用本文： | 陈跃辉,赵立群,余承依. 计算周期三对角矩阵行列式和逆矩阵的新算法[J]. 数学研究, 2011, 44(1): 27-35 |
| 作者姓名： | 陈跃辉 赵立群 余承依 |
| 作者单位： | 漳州师范学院数学与信息科学系,福建,漳州,363000 |
| 基金项目： | supported by the Foundation of Fujian Educational Committee(JB07147). |
| 摘 要： | 给出了一种计算周期三对角矩阵行列式和逆矩阵的新递推算法,它们的运算复杂度分别为O(n)和O(n2),该算法是文献[5]和[6]中相关算法的拓广. |
| 关 键 词： | 周期三对角矩阵 行列式 逆矩阵 |
An New Algorithm for Evaluating the Determinant and the Inverse of a Periodic Tridiagonal Matrix |
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| Chen Yuehui,Zhao Liqun,Yu Chenoyi. An New Algorithm for Evaluating the Determinant and the Inverse of a Periodic Tridiagonal Matrix[J]. Journal of Mathematical Study, 2011, 44(1): 27-35 | |
| Authors: | Chen Yuehui Zhao Liqun Yu Chenoyi |
| Affiliation: | Chen Yuehui Zhao Liqun Yu Chengyi (Department of Mathematics and Information Science,Zhangzhou Normal University,Zhangzhou Fujian 363000) |
| Abstract: | In this paper we present an algorithm for evaluating the determinant and the inverse of an n-by-n periodic tridiagonal matrix with complexity O(n) and O(n2), respectively. It extends the work presented in [5,6]. |
| Keywords: | Periodic tridiagonal matrix Determinant Inverse |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |