Revisiting hua-marcus-bellman-ando inequalities on contractive matrices
Revisiting hua-marcus-bellman-ando inequalities on contractive matrices
复制标题
DOI：
10.1016/j.laa.2007.11.011
复制
发表时间：
2009-03
影响因子：
1.1
通讯作者：
Changqing Xu;Z. Xu;Fuzhen Zhang
中科院分区：
文献类型：
--
作者：
Changqing Xu;Z. Xu;Fuzhen Zhang
Loo-Keng Hua利用矩阵恒等式给出了一些优美的矩阵不等式和行列式不等式，并利用群表示理论证明了包含压缩矩阵行列式的矩阵的半正定性。他的研究被M.马库斯河Bellman和T.安藤本文的目的是重新回顾Hua的原始工作和Marcus，Bellman和Ando的结果，并给出我们的评论，并对他们的结果进行类似和推广。
Loo-Keng Hua showed some elegant matrix and determinant inequalities via a matrix identity and proved the positive semidefiniteness of a matrix involving the determinants of contractive matrices through group representation theory. His study was followed by M. Marcus, R. Bellman and T. Ando. The purpose of current paper is to revisit the Hua’s original work and the results of Marcus, Bellman and Ando with our comments, and to present analogs and extensions to their results.