A contour-integral based method for counting the eigenvalues inside a region in the complex plane | |
Guojian Yin | |
2015 | |
会议名称 | SIAM conference on Applied Linear Algebra(LA15) |
会议地点 | 美国芝加哥 |
英文摘要 | In many applications, the information about the number of eigenvalues inside a given region is required. In this paper, we propose a contour-integral based method for this purpose. The new method is motivated by two findings. Recently, some contour-integral based methods were developed for estimating the number of eigenvalues inside a region in the complex plane. But our method is able to count the eigenvalues inside the given region exactly. An appealing feature of our method is that it can integrate with recently developed contour-integral based eigensolvers to determine whether all desired eigenvalues are found by these methods. Numerical experiments are reported to show the viability of our new method. |
收录类别 | 其他 |
语种 | 英语 |
内容类型 | 会议论文 |
源URL | [http://ir.siat.ac.cn:8080/handle/172644/7026] |
专题 | 深圳先进技术研究院_数字所 |
作者单位 | 2015 |
推荐引用方式 GB/T 7714 | Guojian Yin. A contour-integral based method for counting the eigenvalues inside a region in the complex plane[C]. 见:SIAM conference on Applied Linear Algebra(LA15). 美国芝加哥. |
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