The Congruent Centralizer of a Block Diagonal Matrix
- 作者: Ikramov K.1
-
隶属关系:
- Moscow Lomonosov State University
- 期: 卷 224, 编号 6 (2017)
- 页面: 877-882
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239705
- DOI: https://doi.org/10.1007/s10958-017-3457-6
- ID: 239705
如何引用文章
详细
Let a complex matrix A be the direct sum of its square submatrices B and C that have no common eigenvalues. Then every matrix X belonging to the centralizer of A has the same block diagonal form as the matrix A. This paper discusses how the conditions on the submatrices B and C should be modified for an analogous assertion about the congruent centralizer of A, which is the set of matrices X such that X*AX = A, to be valid. Also the question whether the matrices in the congruent centralizer are block diagonal if A is a block anti-diagonal matrix is considered. Bibliography: 2 titles.
作者简介
Kh. Ikramov
Moscow Lomonosov State University
编辑信件的主要联系方式.
Email: ikramov@cs.msu.su
俄罗斯联邦, Moscow