CONTOUR INTEGRAL EIGENSOLVER FOR NON-HERMITIAN SYSTEMS: A RAYLEIGH-RITZ-TYPE APPROACH
CONTOUR INTEGRAL EIGENSOLVER FOR NON-HERMITIAN SYSTEMS: A RAYLEIGH-RITZ-TYPE APPROACH
复制标题
DOI：
10.11650/twjm/1500405869
复制
发表时间：
2010-01
影响因子：
0.4
通讯作者：
T. Ikegami;T. Sakurai
中科院分区：
文献类型：
--
作者：
T. Ikegami;T. Sakurai
将Rayleigh-Ritz型的轮廓积分（CIRR）特征值求解方法推广到一般非厄米特系统。CIRR方法可以只提取给定区域中的特征值，这是以前制定的非退化厄米特系统。在这种方法中，域的里兹空间是通过围道积分的数值计算来构造的。从滤波算子的角度分析了数值近似的效果，该滤波算子支持使用适度近似。原始的基于矩的方法的数值精度也得到了保证。提出了一种CIRR方法的块版本，并给出了详细的算法，使我们能够解决退化系统。
The Rayleigh-Ritz-type approach of the contour integral (CIRR) eigensolver is extended to be generally applicable to non-Hermitian systems. The CIRR method can extract only the eigenvalues in a given domain, which was previously formulated for non-degenerated Hermitian systems. In this method, the Ritz space for the domain is constructed by numerical evaluation of a contour integral. The effect of the numerical approximation is analyzed from the viewpoint of a filter operator, which supports the use of moderate approximations. The numerical accuracy of the original moment-based approach is also assured. A block version of the CIRR method is proposed with a detailed algorithm, which allows us to resolve degenerated systems..