The cell matrix closest to a given Euclidean distance matrix
The cell matrix closest to a given Euclidean distance matrix
复制标题
DOI：
10.1016/j.laa.2015.07.030
复制
发表时间：
2015-11
影响因子：
1.1
通讯作者：
H. Kurata;P. Tarazaga
中科院分区：
文献类型：
--
作者：
H. Kurata;P. Tarazaga
元胞矩阵是由Jaklič和Modic[6]提出的一种特殊的欧几里德距离矩阵，具有非常吸引人的简单结构。用单元矩阵来近似电火花加工是很有意义的。在这篇文章中，我们考虑了关于Frobenius范数寻找最接近于给定EDM的单元矩阵的问题。还讨论了单元矩阵的特征值的优序问题。
Cell matrix introduced by Jaklič and Modic [6] is a special Euclidean distance matrix (EDM) that has a quite attractive and simple structure. It is of interest to approximate an EDM by a cell matrix. In this paper, we consider the problem of finding the cell matrix that is closest to a given EDM with respect to the Frobenius norm. The majorization ordering of the eigenvalues of a cell matrix is also discussed.