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矩阵特征值的一类新的存在性区域
A CLASS DOMAIN of NEW EXISTENCE THEOREM FOR EIGENVALUE OF MATRIX
【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。
【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.
- 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,2001年02期
- 【分类号】O241.6
- 【被引频次】13
- 【下载频次】133