Pseudo-Orthogonal Eigenvalues of Skew-Symmetric Matrices
- 作者: Ikramov K.1
-
隶属关系:
- Lomonosov Moscow State University
- 期: 卷 240, 编号 6 (2019)
- 页面: 765-768
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242831
- DOI: https://doi.org/10.1007/s10958-019-04393-9
- ID: 242831
如何引用文章
详细
The following result is attributed to J. Williamson: Every real, symmetric, and positive definite matrix A of even order n = 2m can be brought to diagonal form by a congruence transformation with symplectic matrix. The diagonal entries of this form are invariants of congruence transformations performed with A, and they are called the symplectic eigenvalues of this matrix. This short paper proves an analogous fact concerning (complex) skew-symmetric matrices and transformations belonging to a different group, namely, the group of pseudo-orthogonal matrices.
作者简介
Kh. Ikramov
Lomonosov Moscow State University
编辑信件的主要联系方式.
Email: ikramov@cs.msu.su
俄罗斯联邦, Moscow