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Generalized Irreducible α-Matrices and Its Applications

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DOI: 10.4236/alamt.2018.83010    443 Downloads   904 Views

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.

Cite this paper

Sun, Y. , Zhang, H. and Li, C. (2018) Generalized Irreducible α-Matrices and Its Applications. Advances in Linear Algebra & Matrix Theory, 8, 111-121. doi: 10.4236/alamt.2018.83010.

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