On Convergence of MRQI and IMRQI Methods for Hermitian Eigenvalue Problems

• 作 者: Fang Chen Cun-Qiang Miao Galin
• 机 构: SchoolofAppliedScience,SchoolofMathematicsandStatistics,LaboratoryofComputationalMechanics
• 出 处: 应用数学与计算数学学报(英文)
• 发表日期: 2021年1期
• 关键词: Hermitian eigenvalue problem MRQI IMRQI CONVERGENCE
• 基金项目: F.Chen:Supported by the National Natural Science Foundation of China(No.11501038),the Science and Technology Planning Projects of Beijing Municipal Education Commission(No.KM201911232010 and No.KM2018

Bai et al.proposed the multistep Rayleigh quotient iteration(MRQI)as well as its inexact variant(IMRQI)in a recent work(Comput.Math.Appl.77:2396–2406,2019).These methods can be used to effectively compute an eigenpair of a Hermitian matrix.The convergence