当前位置:
X-MOL 学术
›
Linear Algebra its Appl.
›
论文详情
Our official English website, www.x-mol.net, welcomes your
feedback! (Note: you will need to create a separate account there.)
Hong's canonical form of a Hermitian matrix with respect to orthogonal *congruence
Linear Algebra and its Applications ( IF 1.0 ) Pub Date : 2021-08-16 , DOI: 10.1016/j.laa.2021.08.007 Tadej Starčič 1, 2
中文翻译:
关于正交*同余的厄米矩阵的 Hong 规范形式
更新日期:2021-08-24
Linear Algebra and its Applications ( IF 1.0 ) Pub Date : 2021-08-16 , DOI: 10.1016/j.laa.2021.08.007 Tadej Starčič 1, 2
Affiliation
Yoopyo Hong proved in 1989 that each Hermitian matrix A is orthogonally *congruent to a matrix of the form , in which are uniquely determined by the orthogonal *congruence class of A, and . We prove that are uniquely determined by the orthogonal *congruence class of A as well. As an application, we present a canonical form of a pair consisting of a Hermitian matrix A and a nonsingular symmetric matrix B with respect to transformations with a nonsingular S.
中文翻译:
关于正交*同余的厄米矩阵的 Hong 规范形式
Yoopyo Hong 在 1989 年证明了每个 Hermitian 矩阵A都是正交*全等的矩阵形式,其中 由 A 的正交 *同余类唯一确定,并且 . 我们证明也由 A 的正交 *同余类唯一确定。作为一个应用程序,我们提出了一对的规范形式由一个 Hermitian 矩阵A和一个关于变换的非奇异对称矩阵B 组成与非奇异S。