TY - JOUR
T1 - An Improvement on Disc Separation of the Schur Complement and Bounds
AU - Zhuohong Huang, Tingzhu Huang
JO - Journal of Information and Computing Science
VL - 3
SP - 224
EP - 232
PY - 2024
DA - 2024/01
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22713.html
KW -  H-matrix
KW -   strictly  (doubly)  diagonally  dominant  matrix
KW -   Schur  complement
KW -   Geršgorin’s 
theorem. 

AB -  In  this  paper,  we  improve  the  disc  separation  of  the  Schur  complement  of  strictly  diagonally 
dominant matrices presented in Liu [SIAM. J. Matrix Anal. Appl., 27 (2005): 665-674]. As applications, we 
present  some  new  bounds  for  determinants  of  original  matrices  and  estimations  for  eigenvalues  of  Schur 
complement. By theoretical analysis, we improve the bounds of determinants established in Huang [Comput. 
Math. Appl., 50 (2005): 1677-1684].