Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/19250
Title: | An infinity norm bound for the inverse of Dashnic–Zusmanovich type matrices with applications | Authors: | Chaoqian Li Cvetković Ljiljana Yimin Wei Jianxing Zhao |
Issue Date: | 2019 | Journal: | Linear Algebra and Its Applications | Abstract: | © 2018 Elsevier Inc. An upper bound for the infinity norm for the inverse of Dashnic–Zusmanovich type matrices is given. It is proved that the upper bound is sharper than the well-known Varah's bound for strictly diagonally dominant matrices. By introducing a new subclass of P-matrices: Dashnic–Zusmanovich type B-matrices (DZ-type-B-matrices), and using the proposed infinity norm bound, an error bound is given for the linear complementarity problems of DZ-type-B-matrices. We also give a new pseudospectra localization to measure the distance to instability. | URI: | https://open.uns.ac.rs/handle/123456789/19250 | ISSN: | 0024-3795 | DOI: | 10.1016/j.laa.2018.12.013 |
Appears in Collections: | PMF Publikacije/Publications |
Show full item record
SCOPUSTM
Citations
23
checked on Nov 20, 2023
Page view(s)
24
Last Week
3
3
Last month
0
0
checked on May 10, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.