当前位置:
X-MOL 学术
›
Linear Multilinear Algebra
›
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.)
Inequalities on 2 × 2 block positive semidefinite matrices
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2021-08-28 , DOI: 10.1080/03081087.2021.1969327 Xiaohui Fu 1, 2, 3 , Pan-Shun Lau 4 , Tin-Yau Tam 4
中文翻译:
2 × 2 分块半正定矩阵上的不等式
更新日期:2021-08-28
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2021-08-28 , DOI: 10.1080/03081087.2021.1969327 Xiaohui Fu 1, 2, 3 , Pan-Shun Lau 4 , Tin-Yau Tam 4
Affiliation
ABSTRACT
We obtain two matrix inequalities on the off-diagonal block of 2 × 2 block positive semidefinite matrices and the geometric mean of its diagonal blocks. They improve some results of Lee [Linear Algebra Appl. 2015:486;449–453] and extend some inequalities of Fujimoto and Seo [Linear Multilinear Algebra. 2018:66;1564–1577]. Applications to sector matrices are given.
中文翻译:
2 × 2 分块半正定矩阵上的不等式
摘要
我们在 2 × 2 分块正半定矩阵的非对角分块上得到两个矩阵不等式及其对角分块的几何平均数。他们改进了 Lee [Linear Algebra Appl.] 的一些结果。2015:486;449–453] 并扩展 Fujimoto 和 Seo 的一些不等式 [线性多线性代数。2018:66;1564–1577]。给出了扇形矩阵的应用。