@article{Liu2023, 
author = {Yi Liu and Lei Gao and Tianxu Zhao},
title = {Partially doubly strictly diagonally dominant matrices with applications},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {5},
pages = {2994-3013},
keywords = {PDSDD matrices, eigenvalue localization, pseudospectra localization, infinity norm, H-matrices},
url = {https://www.sciopen.com/article/10.3934/era.2023151},
doi = {10.3934/era.2023151},
abstract = {A new class of matrices called partially doubly strictly diagonally dominant (for shortly, PDSDD) matrices is introduced and proved to be a subclass of nonsingular    H-matrices, which generalizes doubly strictly diagonally dominant matrices. As applications, a new eigenvalue localization set for matrices is given, and an upper bound for the infinity norm bound of the inverse of PDSDD matrices is presented. Based on this bound, a new pseudospectra localization for matrices is derived and a lower bound for distance to instability is obtained.}
}