| On a Comparison Property of M—matrices |
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| 引用本文： | 黎稳.On a Comparison Property of M—matrices[J].数学季刊,1997,12(4):75-78. |
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| 作者姓名： | 黎稳 |
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| 作者单位： | Department of Mathematics，South China Normal University，Guangzhou，510631 |
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| 摘 要： | IntheresearchonthetheoryofM-matrices,wefrequentlyneedthefollowingtheoremasatool,whichiscalledthecomparisontheoremofanonsingularM-matrix(forexamplesee5,Theorem2.2.5j).TheoremALetAbeanonsingularM-matrix,andletBbeaZ-matrixwithB2A.Then(1)BisanonsingularM-matrixI'(2)detB2detAj(3)A-'2B-'.obviously,theabovetheoremisnottrueforAtobeasingularM-matrix.InthispaperweshallextendTheoremAtOanyM-matrix,herethegeneralizedinverseisconsideredforgeneralizingassertion(3)ofTheoremA.AllnOtationanddefiniti…
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| 关 键 词： | M－矩阵 比较定理 DrAzin逆 |
On a Comparison Property of M-matrices |
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| Li Wen.On a Comparison Property of M-matrices[J].Chinese Quarterly Journal of Mathematics,1997,12(4):75-78. |
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| Authors: | Li Wen |
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| Abstract: | In this paper, we present a spectral property of a comparison matrix, which improves and generalize the comparison theorem of nonsingular M-matrices. |
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| Keywords: | M-matrix Drazin inverse comparison theorem |
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