TY - JOUR
T1 - The Disc Theorem for the Schur Complement of Two Class Submatrices with $γ$-Diagonally Dominant Properties
AU - Guangqi Li, Jianzhou Liu & Juan Zhang
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 84
EP - 97
PY - 2017
DA - 2017/10
SN - 10
DO - http://doi.org/10.4208/nmtma.2017.y14034
UR - https://global-sci.org/intro/article_detail/nmtma/12337.html
KW - 
AB - <p style="text-align: justify;">The distribution for eigenvalues of Schur complement of matrices plays an important role in many mathematical problems. In this paper, we firstly present some criteria for $H$-matrix. Then as application, for two class matrices whose sub-matrices are $γ$-diagonally dominant and product $γ$-diagonally dominant, we show that the eigenvalues of the Schur complement are located in the Geršgorin discs and the Ostrowski discs of the original matrices under certain conditions.</p>