Modified successive approximation methods for the nonlinear eigenvalue problems

DOI10.1016/j.apnum.2020.11.007zbMath1460.65053OpenAlexW3098397280MaRDI QIDQ1995947

Wei Wei, Xiao-Ping Chen, Xiaoming Pan

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.2020.11.007

zbMATH Keywords

successive approximation methodnonlinear eigenvalue problemslocal convergenceconvergence factorinexact method

Mathematics Subject Classification ID

Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Uses Software

• NLEVP

Cites Work

• Convergence factors of Newton methods for nonlinear eigenvalue problems
• Nonlinear Rayleigh functionals
• The calculation of eigenvalues for the stationary perturbation of Poiseuille flow
• An Arnoldi method for nonlinear eigenvalue problems
• Nonequivalence deflation for the solution of matrix latent value problems
• A Riesz-projection-based method for nonlinear eigenvalue problems
• Computing several eigenvalues of nonlinear eigenvalue problems by selection
• Iterative Projection Methods for Sparse Nonlinear Eigenproblems
• On Smooth LU Decompositions with Applications to Solutions of Nonlinear Eigenvalue Problems
• NLEVP
• On Kublanovskaya’s Approach to the Solution of the Generalized Latent Value Problem for Functional $\lambda $-Matrices
• Fast frequency response analysis of large-scale structures with non-proportional damping
• A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems
• The nonlinear eigenvalue problem
• Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods
• On an Approach to the Solution of the Generalized Latent Value Problem for $\lambda $-Matrices
• Algorithms for the Nonlinear Eigenvalue Problem
• Iterative algorithms for nonlinear ordinary differential eigenvalue problems
• A Survey of Open Cavity Scattering Problems
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