论文标题
类似于中心对称矩阵的矩阵
Matrices similar to centrosymmetric matrices
论文作者
论文摘要
在本文中，我们给出了矩阵的条件，该条件可以保证其类似于中心对称矩阵。我们使用此条件表明，大约$ 4 \ times 4 $和$ 6 \ times 6 $ toeplitz矩阵与中心对称矩阵相似。此外，我们给出了一个矩阵的条件，类似于具有中心对称主子序的矩阵，并且可以将基质扩张至类似于中心对称矩阵的基质的条件。
In this paper we give conditions on a matrix which guarantee that it is similar to a centrosymmetric matrix. We use this conditions to show that some $4 \times 4$ and $6 \times 6$ Toeplitz matrices are similar to centrosymmetric matrices. Furthermore, we give conditions for a matrix to be similar to a matrix which has a centrosymmetric principal submatrix, and conditions under which a matrix can be dilated to a matrix similar to a centrosymmetric matrix.
