%0 Journal Article
%T Generalized Irreducible ¦Á-Matrices and Its Applications
%A Yi Sun
%A Haibin Zhang
%A Chaoqian Li
%J Advances in Linear Algebra & Matrix Theory
%P 111-121
%@ 2165-3348
%D 2018
%I Scientific Research Publishing
%R 10.4236/alamt.2018.83010
%X The class of generalized ¦Á-matrices is presented by Cvetković, L. (2006), and
proved to be a subclass of <i>H</i>-matrices. In this paper, we present a new class of
matrices-generalized irreducible ¦Á-matrices, and prove that a generalized irreducible
¦Á-matrix is an <i>H</i>-matrix. Furthermore, using the generalized arithmetic-geometric mean inequality, we obtain two new classes of <i>H</i>-matrices.
As applications of the obtained results, three regions including all the eigenvalues
of a matrix are given.
%K Generalized Irreducible ¦Á-Matrices
%K H-Matrices
%K Irreducible
%K Nonsingular
%K Eigenvalues
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=86551