| 块矩阵谱半径的估计 |
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| 引用本文： | 蒋建新,李艳艳.块矩阵谱半径的估计[J].昆明师范高等专科学校学报,2010(6):94-95,98. |
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| 作者姓名： | 蒋建新 李艳艳 |
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| 作者单位： | 文山学院数理系,云南文山663000 |
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| 摘 要： | 研究了块矩阵A=（Aij）与矩阵B=（bij）,bij={｜｜Aij-1｜｜-1,i=j,｜｜Aij｜｜,i≠j,的谱半径的关系,证明了ρ（A）≤ρ（B）,其中ρ（A）,ρ（B）分别是它们的谱半径.特别是,若A是块H-矩阵,则ρ（A）≤maxi{2｜｜Aii-1｜｜-1.}
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| 关 键 词： | 谱半径 块矩阵 块H-矩阵 |
Estimation for the Spectral Radius of Block Matrices |
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| JIANG Jian-xing,Li Yan-yan.Estimation for the Spectral Radius of Block Matrices[J].Journal of Kunming Teachers College,2010(6):94-95,98. |
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| Authors: | JIANG Jian-xing Li Yan-yan |
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| Institution: | (Mathematics and Physics Department,Wenshan University,Yunnan Wenshan 663000,China) |
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| Abstract: | After study the relationship between the block matrix A=（Aij）,B=（bij）,bij={｜｜Aij-1｜｜-1,i=j,｜｜Aij｜｜,i=j,Aij,i≠j,where ρ（A）,ρ（B）denotes the spectral radius;especially,if A is a block H-matrix,then ρ（A）≤maxi{2｜｜Aii-1｜｜-1.} |
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| Keywords: | spectral radius block matrix block H-matrix |
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