Generalized Irreducible α-Matrices and Its Applications

• 作者: Chaoqian Li Haibin Zhang Yi Sun
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: GENERALIZED IRREDUCIBLE α-Matrices H-MATRICES IRREDUCIBLE NONSINGULAR EIGENVALUES
• 年，卷（期）: 2018,（3）
• 页码范围: 111-121
• 页数: 11页
• 分类号: O1

摘要

The class of generalized α-matrices is presented by Cvetkovi?, 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.