| Gerschgorin圆盘的分离 |
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| 引用本文： | 张平平,伍俊良,胡兴凯. Gerschgorin圆盘的分离[J]. 西南师范大学学报(自然科学版), 2011, 36(3) |
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| 作者姓名： | 张平平 伍俊良 胡兴凯 |
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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： | 在Gerschgorin圆盘定理的基础上,利用相似矩阵有相同特征值的理论,通过选取恰当的正对角矩阵来缩小圆盘半径,从而达到分离Gerschgorin圆盘的目的.给出了选取正对角阵的方法.最后通过数值算例验证了所得结果的有效性.
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| 关 键 词： | 特征值 圆盘半径 圆盘分离 |
On the Separation of Gerschgorin Circular Discs |
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| ZHANG Ping-ping,WU Jun-liang,HU Xing-kai. On the Separation of Gerschgorin Circular Discs[J]. Journal of southwest china normal university(natural science edition), 2011, 36(3) |
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| Authors: | ZHANG Ping-ping WU Jun-liang HU Xing-kai |
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| Affiliation: | ZHANG Ping-ping,WU Jun-liang,HU Xing-kai School of Mathematics and Statistics,Chongqing University,Chongqing 401331,China |
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| Abstract: | On the basis of Gerschgorin's Theorem,by using the theory that similar matrices have the same eigenvalues,the Gerschgorin circular discs are separated by selecting an appropriate positive diagonal matrix.Moreover,the method of selecting positive diagonal matrix is given,and the effectiveness is verified by numerical examples. |
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| Keywords: | eigenvalue circular disc radiu the separation of circular discs |
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