@Article{NMTMA-10-1, author = {}, 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 = {

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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2017.y14034}, url = {https://global-sci.com/article/90491/the-disc-theorem-for-the-schur-complement-of-two-class-submatrices-with-g-diagonally-dominant-properties} }