论文标题
最佳l-One等级一个矩阵分解
Optimal l-one Rank One Matrix Decompositions
论文作者
论文摘要
在本文中，我们将阳性半限定矩阵的分解视为一级矩阵的总和。我们介绍并研究了此类分解的各种最佳度量的特性。对于某些类别的阳性半限定矩阵，我们明确给出了这些最佳分解。这些课程包括对角线占主导地位及其某些概括，$ 2 \ times 2 $和一类$ 3 \ times 3 $矩阵。
In this paper we consider the decomposition of positive semidefinite matrices as a sum of rank one matrices. We introduce and investigate the properties of various measures of optimality of such decompositions. For some classes of positive semidefinite matrices we give explicitly these optimal decompositions. These classes include diagonally dominant matrices and certain of their generalizations, $2\times 2$, and a class of $3\times 3$ matrices.
