| 矩阵展形的一些新的上界 |
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| 引用本文： | 廖文诗,伍俊良. 矩阵展形的一些新的上界[J]. 山东大学学报(理学版), 2012, 47(10): 54-58 |
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| 作者姓名： | 廖文诗 伍俊良 |
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| 作者单位： | 重庆大学数学与统计学院, 重庆 401331 |
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| 摘 要： | 讨论了关于矩阵的特征值的实部和虚部的特性,并利用这些特性得到矩阵的展形更为精确的上界;其次,证明任意矩阵的所有特征值都能用一个椭圆区域来界定,从另一方面得到矩阵的展形上界;最后,给出数值算例进行比较。
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| 关 键 词： | 特征值 矩阵的展形 Euclidean范数 椭圆区域, |
| 收稿时间： | 2011-10-12 |
Some new upper bounds of the spread of a matrix |
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| LIAO Wen-shi,WU Jun-liang. Some new upper bounds of the spread of a matrix[J]. Journal of Shandong University, 2012, 47(10): 54-58 |
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| Authors: | LIAO Wen-shi WU Jun-liang |
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| Affiliation: | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China |
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| Abstract: | Some characteristics about the real and imaginary part of matrix eigenvalues are discussed, and obtains some sharper upper bounds of the spread of a matrix. All the eigenvalues of an arbitrarily given matrix are located in elliptic regions is proved and give another upper bounds of the spread of a matrix. An example illustrates the effectiveness of our results. |
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| Keywords: | eigenvalue the spread of a matrix Euclidean norm elliptic region |
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