点击次数：

影响因子：3.7

DOI码：10.1016/j.aml.2020.106706

发表刊物：Applied Mathematics Letters

关键字：Low-rank matrix; Low-rank eigenvalue problem; Large-scale eigenproblem; Jordan decomposition; Jordan vector; Schur decomposition

摘要：In this paper, we are interested in the eigenproblem on the large and low-rank matrix S = ABH, where A, B ∈ Cn×r are of full column rank and r ≪ n. To the best of our knowledge, there are no results on the relations between the Jordan decomposition and the Schur decomposition of BHA and those of ABH. Some known results are only on characteristic polynomials, elementary divisors, and Jordan blocks of ABH, and are purely theoretical and are not easy to use for computational purposes. Based on the Jordan decomposition and the Schur decomposition of the small matrix BHA ∈ Cr×r, we consider how to derive those of the large matrix AHB ∈ Cn×n in this work. The construction methods proposed are not only theoretical but also practical. Numerical experiments show the effectiveness of our theoretical results.

备注：中科院 2 区

第一作者：Bo Feng; Gang Wu

论文类型：SCI

通讯作者：Gang Wu

论文编号：106706

学科门类：理学

一级学科：数学

文献类型：SCI

卷号：112

是否译文：否

发表时间：2020-08-20

收录刊物：SCI

发布期刊链接：https://doi.org/10.1016/j.aml.2020.106706