| 矩阵特征值的一类新的存在性区域 |
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| 引用本文： | 陈祖明. 矩阵特征值的一类新的存在性区域[J]. 应用数学学报, 2001, 24(2): 177-184 |
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| 作者姓名： | 陈祖明 |
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| 作者单位： | 北京航空航天大学理学院数学系, |
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| 摘 要： | 用盖尔斯果林圆盘定理估计矩阵特征值是一个经典的方法,后人对此定理虽有许多改进,例如用卵形区域代替盖氏圆盘,但都显得粗糙,本文的研究得出了一类新的特征值存在区域,它们与盖氏圆盘等方法结合结合能提高估计的精确度。
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| 关 键 词： | 卵形区域 盖尔斯果林圆盘 矩阵 特征值 区域估计 |
A CLASS DOMAIN of NEW EXISTENCE THEOREM FOR EIGENVALUE OF MATRIX |
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| CHEN ZUMING. A CLASS DOMAIN of NEW EXISTENCE THEOREM FOR EIGENVALUE OF MATRIX[J]. Acta Mathematicae Applicatae Sinica, 2001, 24(2): 177-184 |
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| Authors: | CHEN ZUMING |
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| Affiliation: | Beijing University of Aeronautics and Astronautics 100083 |
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| Abstract: | It is a classical method using the Gersgorin-disc theorem to estimate eigenvalues of a matrix. Many people have made improvements to it. For example, the egg-shaped domain was substitute for the Gersgorin-disc. But it is still seems crude. In this paper, we have obtained a class new existence domain. The precise of estimate eigenvalue will be increased if combine these two methods. |
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| Keywords: | Egg-shaped domain extended gersgorin-disc |
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