| 关于循环矩阵逆平方根矩阵的计算 |
| |
| 引用本文： | 梅颖,卢诚波. 关于循环矩阵逆平方根矩阵的计算[J]. 浙江大学学报(理学版), 2010, 37(4): 391-395. DOI: 10.3785/j.issn.1008-9497.2010.04.006 |
| |
| 作者姓名： | 梅颖 卢诚波 |
| |
| 作者单位： | 1. 丽水学院,数学系,浙江,丽水,323000
2. 丽水学院,数学系,浙江,丽水,323000;上海大学,数学系,上海,200444 |
| |
| 基金项目： | Supported by Shanghai Leading Acading Academic Discipline Project （J50101）; Key Disciplines of Shanghai Municipality（S30104） |
| |
| 摘 要： | 利用矩阵分块降阶的方法给出了计算循环矩阵逆平方根矩阵的两种方法.可以证明这两种算法与已有的方法相比,在减少运算量方面具有较大的优势.
|
| 关 键 词： | 循环矩阵 逆平方根矩阵 分块降阶 Schur分解 |
On the computation of the inverse square roots of circulant matrices |
| |
| MEI Ying,LU Cheng-bo. On the computation of the inverse square roots of circulant matrices[J]. Journal of Zhejiang University(Sciences Edition), 2010, 37(4): 391-395. DOI: 10.3785/j.issn.1008-9497.2010.04.006 |
| |
| Authors: | MEI Ying LU Cheng-bo |
| |
| Affiliation: | 1.Department of Mathematics,Lishui University,Lishui 323000,Zhejiang Province,China;2.Department of Mathematics,Shanghai University,Shanghai 200444,China) |
| |
| Abstract: | First the properties of circulant matrices are investigated, and two algorithms to compute the inverse square roots (by matrix reduced-order method) are presented. It is showed that these two algorithms are of significant savings in computational costs as compared with the existed methods. |
| |
| Keywords: | circulant matrix inverse square root reduced form Schur decomposition |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《浙江大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《浙江大学学报(理学版)》下载全文 |
|
