Cvetković, L., Kostić, V., Bru, R. and Pedroche, F. (2011) A Simple Generalization of Geršgorin’s Theorem. Advances in Computational Mathematics, 35, 271-280.
https://doi.org/10.1007/s10444-009-9143-6

has been cited by the following article:

• TITLE: Generalized Irreducible α-Matrices and Its Applications

  AUTHORS: Yi Sun, Haibin Zhang, Chaoqian Li

  KEYWORDS: Generalized Irreducible α-Matrices, H-Matrices, Irreducible, Nonsingular, Eigenvalues

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.8 No.3, August 9, 2018

  ABSTRACT: The class of generalized α-matrices is presented by Cvetković, L. (2006), and proved to be a subclass of H-matrices. In this paper, we present a new class of matrices-generalized irreducible α-matrices, and prove that a generalized irreducible α-matrix is an H-matrix. Furthermore, using the generalized arithmetic-geometric mean inequality, we obtain two new classes of H-matrices. As applications of the obtained results, three regions including all the eigenvalues of a matrix are given.