We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
New inclusion sets for singular values.
- Authors
He, Jun; Liu, Yan-Min; Tian, Jun-Kang; Ren, Ze-Rong
- Abstract
In this paper, for a given matrix $A=(a_{ij}) \in\mathbb{C}^{n\times n}$ , in terms of $r_{i}$ and $c_{i}$ , where $r_{i} = \sum _{j = 1,j \ne i}^{n} {\vert {a_{ij} } \vert }$ , $c_{i} = \sum _{j = 1,j \ne i}^{n} {\vert {a_{ji} } \vert }$ , some new inclusion sets for singular values of the matrix are established. It is proved that the new inclusion sets are tighter than the Geršgorin-type sets (Qi in Linear Algebra Appl. 56:105-119, 1984) and the Brauer-type sets (Li in Comput. Math. Appl. 37:9-15, 1999). A numerical experiment shows the efficiency of our new results.
- Subjects
SINGULAR value decomposition; LINEAR algebra; BRAUER groups; SOCIAL integration; NUMERICAL analysis
- Publication
Journal of Inequalities & Applications, 2017, Vol 2017, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-017-1337-8