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A contour-integral based method for computing the number of eigenvalues inside a region
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演讲者: Guojian Yin
时间: Nov, 25, 2021, 10:30-11:30
地点: 201 Jinqizhigu Building, No.1 Tangling Road, Nanshan District, Shenzhen

Abstract


In many applications, the information about the number of eigenvalues inside a given region, rather than the eigenvalues, is required. In this talk, I will introduce a contour-integral based method for this purpose. Our method is motivated by two findings. There exist methods for estimation the number of eigenvalues inside a region in the complex plan, but our method is able to compute the number exactly. Our method has a good potential to be implemented on a high-performance parallel architecture. Numerical experiments will be reported to show the viability of our method.