The Disc Theorem for the Schur Complement of Two Class Submatrices with $γ$-Diagonally Dominant Properties

The Disc Theorem for the Schur Complement of Two Class Submatrices with $γ$-Diagonally Dominant Properties

Year:    2017

Numerical Mathematics: Theory, Methods and Applications, Vol. 10 (2017), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.2017.y14034

Numerical Mathematics: Theory, Methods and Applications, Vol. 10 (2017), Iss. 1 : pp. 84–97

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:   

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