The power method and beyond

DOI10.1016/j.apnum.2020.03.021zbMath1460.65038OpenAlexW3016143166MaRDI QIDQ1995934

Wen-Ting Wu, Galina V. Muratova, Zhong Zhi Bai

Publication date: 2 March 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.03.021

zbMATH Keywords

parameterizationpower methodconvergence theorysymmetric eigen-problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (5)

Enhanced detection methods for compressive spectrum sensing based on antieigenvalues ⋮ A Gauss-Newton method for mixed least squares-total least squares problems ⋮ On relaxed filtered Krylov subspace method for non-symmetric eigenvalue problems ⋮ A simple extrapolation method for clustered eigenvalues ⋮ An extrapolation iteration and its lumped type iteration for computing PageRank

Uses Software

• EIGIFP

Cites Work

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• On condition numbers of a nondefective multiple eigenvalue of a nonsymmetric matrix pencil
• On local quadratic convergence of inexact simplified Jacobi-Davidson method
• Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces
• On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems
• On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems
• Numerical Methods for Large Eigenvalue Problems
• Bookmark-Coloring Algorithm for Personalized PageRank Computing
• Computing an Eigenvector with Inverse Iteration
• An Inverse Free Preconditioned Krylov Subspace Method for Symmetric Generalized Eigenvalue Problems
• Iterative Solution of Nonlinear Equations in Several Variables
• A Survey on PageRank Computing

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