| 实对称五对角矩阵Procrustes问题 |
| |
| 引用本文： | 李姣芬,张晓宁.实对称五对角矩阵Procrustes问题[J].数学杂志,2015,35(2):419-428. |
| |
| 作者姓名： | 李姣芬 张晓宁 |
| |
| 作者单位： | 桂林电子科技大学数学与计算科学学院 |
| |
| 基金项目： | 国家自然科学青年基金资助(11301107);国家自然科学数学天元基金资助(11226323);广西自然科学青年基金(2013GXNSFBA019009) |
| |
| 摘 要： | 本文研究了实对称五对角矩阵Procrustes.利用矩阵的奇异值分解简化问题,得到了实对称五对角矩阵X极小化,最后给出数值算例说明方法的有效性.
|
| 关 键 词： | 实对称五对角矩阵 Procrustes问题 |
| 收稿时间： | 2013/1/2 0:00:00 |
| 修稿时间： | 2013/9/10 0:00:00 |
REAL SYMMETRIC FIVE-DIAGONAL MATRIX PROCRUSTES PROBLEM |
| |
| Li Jiao-fen and Zhang Xiao-ning.REAL SYMMETRIC FIVE-DIAGONAL MATRIX PROCRUSTES PROBLEM[J].Journal of Mathematics,2015,35(2):419-428. |
| |
| Authors: | Li Jiao-fen and Zhang Xiao-ning |
| |
| Affiliation: | Li Jiao-fen;Zhang Xiao-ning;School of Mathematics and Computational Science,Guilin University of Electronic Technology; |
| |
| Abstract: | In this paper, we study real symmetric five-diagonal Procrustes. By using the singular value decomposition and analytic methods, we find the real symmetric five-diagonal matrix X which minimizes the Frobenius (or Euclidean) norm of AX-B, with A and B as given rectangular matrices. Numerical difficulties are discussed and illustrated by example. |
| |
| Keywords: | real symmetric five-diagonal matrix Procrustes problem |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
|
点击此处可从《数学杂志》下载全文 |
