Note on “Block H-Matrices and Spectrum of Block Matrices”
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Abstract: Some results of "Block H-matrices and spectrum of block matrices" are consummated.Furthermore,a new bound for eigenvalues of block matrices was given and some examples are given to show the advantages of this new result.
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Key words:
- G-function /
- block matrix /
- eigenvalue
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[1] Feingold D G,Varga R S.Block diagonally dominant matrices and generalization of the gerschgorin circle theorem[J].Pacific J Math,1962,12(4):1241-1250. [2] 黄廷祝,游兆永.矩阵的G-分块对角占优性[J]. 工程数学学报,1993,10(3):75-80. [3] 游兆永,姜宗乾.矩阵块对角占优性[J].西安交通大学学报,1984,18(3):123-125. [4] 黄廷祝,黎稳.块H-矩阵与块矩阵的谱[J].应用数学和力学,2002,23(2):217-220. [5] Berman A,Plemmons R.Nonnegative Matrices in the Mathematical Science[M].New York:Academic Press,1979. [6] CHEN Gong-ning.Some generalization of diagonal dominance associated with G-functions[J].Linear Algebra Appl,1983,55:169-180. doi: 10.1016/0024-3795(83)90175-1
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