%0 Journal Article %T 实对称五对角矩阵Procrustes问题<br>REAL SYMMETRIC FIVE-DIAGONAL MATRIX PROCRUSTES PROBLEM %A 作者 %A 李姣芬 %A 张晓宁 %J 数学杂志 %D 2015 %X 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.<br>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 %K 实对称五对角矩阵 Procrustes问题< %K br> %K real symmetric five-diagonal matrix Procrustes problem %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20150224&flag=1