一种计算r-循环矩阵平方根的新算法
PDF下载 (452)高 瑜,祝小雯,岑建苗*.一种计算r-循环矩阵平方根的新算法[J].宁波大学学报(理工版),2012,25(03):35-37.DOI:
GAO Yu,ZHU Xiao-wen,CEN Jian-miao*.A New Algorithm to Compute the Square Roots of r-circulant Matrices[J].Journal of Ningbo University(Natural Science & Engineering Edition),2012,25(03):35-37.DOI:
| Title: | A New Algorithm to Compute the Square Roots of r-circulant Matrices |
| 作者: | 高 瑜, 祝小雯, 岑建苗* |
| Author(s): | GAO Yu, ZHU Xiao-wen, CEN Jian-miao* |
| 关键词: | r-循环矩阵; 主平方根; 简化形式; Schur 分解 |
| Keywords: | r-circulant matrices; primary square root; reduced form; Schur decomposition |
| 分类号: | O515.21 |
| 文献标识码: | A |
| 摘要: | 研究了r-循环矩阵的简化形式, 提出了一种计算r-循环矩阵平方根的新算法, 该方法无需计算r-循 环矩阵的特征值, 计算时只需要矩阵乘法的迭代. |
| Abstract: | A simplified form of r-circulant matrices is investigated, and a new algorithm to compute the square roots of r-circulant matrices is obtained using the properties of r-circulant matrices. In stead of calculating the eigenvalues of the r-circulant matrices, the proposed method only needs inter-matrix multiplication in its iterative sequence. |
| 参考文献 /References: | [1] Shen Guang-xing. On radication of r-circulant matrix[J].
Numerical Calculation and Computer Applications,
2004(2):122-127.
[2] Lu Chen-bo, Gu Chuan-qin. The computation of the square
roots of circulant matrices[J]. Applied Mathematics and
Computation, 2011, 1(18):6819-6829.
[3] Ding Fei, Zhang Yan-hui. Some characteristices of
r-circular matrix[J]. Journal of Taizhou Polytechnical
Institute, 2005, 5(4):44-46. |
| 备注/Memo: | Received date: 2011?12?27. JOURNAL OF NINGBO UNIVERSITY ( NSEE ): http://3xb.nbu.edu.cn Foundation items: Supported by Zhejiang Provincial Natural Science Foundation (Y604089). The first author: Gao Yu (1982?), female, Yingshang Anhui, post of graduate student, research domain: matrix theory. E-mail: gaoxiaoyu0325@163.com *Corresponding author: Cen Jian-miao (1959?), male, Ningbo Zhejiang, professor, research domain: hopf algebra theory and matrix theory. E-mail: cenjianmiao@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
