On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems

DOI10.1016/j.camwa.2018.12.025zbMath1442.65053OpenAlexW2909714470MaRDI QIDQ2203937

Shuai Jian, Cun-Qiang Miao, Zhong Zhi Bai

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.12.025

zbMATH Keywords

preconditioningRayleigh quotient iterationHermitian eigenvalue probleminexact solvemultistep modification

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (5)

On convergence of MRQI and IMRQI methods for Hermitian eigenvalue problems ⋮ The power method and beyond ⋮ Behavior of the correction equations in the Jacobi-Davidson method ⋮ Computing eigenpairs of Hermitian matrices in augmented Krylov subspace produced by Rayleigh quotient iterations ⋮ Rayleigh quotient minimization method for symmetric eigenvalue problems

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