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| 分块五对角矩阵求逆的快速算法 | |
| 引用本文： | 陈芳,陆全,袁志杰.分块五对角矩阵求逆的快速算法[J].合肥工业大学学报(自然科学版),2008,31(11). |
| 作者姓名： | 陈芳 陆全 袁志杰 |
| 作者单位： | 1. 西北工业大学,应用数学系,陕西,西安,710072;西安邮电学院,应用数理系,陕西,西安,710121 2. 西北工业大学,应用数学系,陕西,西安,710072 3. 合肥工业大学,数学系,安徽,合肥,230009 |
| 摘 要： | 分块五对角矩阵出现在数学的很多分支中并且被广泛的研究,例如在用差分方法或有限元方法求解离散后的偏微分方程、线性规划、网络分析及结构分析等问题中,经常需要求解以分块五对角矩阵为系数矩阵的线性方程组;文章利用分块五对角矩阵的特殊结构,给出了求分块五对角矩阵逆矩阵的快速算法,最后通过算例来说明算法的有效性。 |
| 关 键 词： | 分块五对角矩阵 逆矩阵 快速算法 |
Fast algorithm for inverting a block pentadiagonal matrix |
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| CHEN Fang,LU Quan,YUAN Zhi-jie.Fast algorithm for inverting a block pentadiagonal matrix[J].Journal of Hefei University of Technology(Natural Science),2008,31(11). | |
| Authors: | CHEN Fang LU Quan YUAN Zhi-jie |
| Abstract: | There exist block pentadiagonal matrices in many diverse branches of mathematics and they have been studied extensively.In the discretization of partial differential equations by finite difference or finite element approximation,linear programming,network analysis,structure analysis,and so forth,it is often necessary to solve the block pentadiagonal linear systems.This paper presents a fast algorithm for inverting a block pentadiagonal matrix according to its special structure.The effectiveness of the approach is demonstrated by some numerical examples. |
| Keywords: | block pentadiagonal matrix inverse matrix fast algorithm |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |