@Article{NMTMA-10-84,
author = {Guangqi Li, Jianzhou Liu and Juan Zhang},
title = {The Disc Theorem for the Schur Complement of Two Class Submatrices with $γ$-Diagonally Dominant Properties},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2017},
volume = {10},
number = {1},
pages = {84--97},
abstract = {<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>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2017.y14034},
url = {http://global-sci.org/intro/article_detail/nmtma/12337.html}
}