Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897689 | Linear Algebra and its Applications | 2018 | 9 Pages |
Abstract
Let A and B be nonnegative square matrices of the same order. Denote by ââ
â and Ï(â
) the spectral norm and the spectral radius respectively. We prove the following inequalities:âAâBââ¤âAâAâ12âBâBâ12;âAâBââ¤Ï12(ATBâBTA)â¤Ï12(ATBâATB)â¤Ï(ATB), where â denotes the Hadamard product. This interpolates the inequalityâAâBââ¤Ï(ATB) due to Huang. Some spectral norm inequalities for an arbitrarily finite number of nonnegative square matrices are also obtained, which refine some other results of Huang.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yun Zhang,