Computing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximation
From MaRDI portal
Publication:2312164
DOI10.1016/j.jcp.2018.08.017zbMath1416.78039OpenAlexW2886655536WikidataQ107452661 ScholiaQ107452661MaRDI QIDQ2312164
Lixin Ge, Liling Xiao, Osni A. Marques, Zhaojun Bai, Zenghai Li, Chao Yang, Roel Van Beeumen, Oleksiy Kononenko, Cho-Kuen Ng, Esmond G. Ng
Publication date: 4 July 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://escholarship.org/uc/item/2rc9c3fs
Technical applications of optics and electromagnetic theory (78A55) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)
Related Items
Block full rank linearizations of rational matrices ⋮ Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems ⋮ A rational approximation method for solving acoustic nonlinear eigenvalue problems ⋮ Nonlinearizing Two-parameter Eigenvalue Problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Designing rational filter functions for solving eigenvalue problems by contour integration
- An integral method for solving nonlinear eigenvalue problems
- A linear eigenvalue algorithm for the nonlinear eigenvalue problem
- Nonlinear eigenvalue problems and contour integrals
- Chebyshev interpolation for nonlinear eigenvalue problems
- A generalized Rayleigh quotient iteration for lambda-matrices
- A block Newton method for nonlinear eigenvalue problems
- Nonlinear Rayleigh-Ritz iterative method for solving large scale nonlinear eigenvalue problems
- Mixed finite elements in \(\mathbb{R}^3\)
- An Arnoldi method for nonlinear eigenvalue problems
- The solution of characteristic value-vector problems by Newton's method
- On interpolation by rational functions
- Construction of Nearly Orthogonal Nedelec Bases for Rapid Convergence with Multilevel Preconditioned Solvers
- Stability Analysis of the Two-level Orthogonal Arnoldi Procedure
- A numerical method for nonlinear eigenvalue problems using contour integrals
- Robust Successive Computation of Eigenpairs for Nonlinear Eigenvalue Problems
- Solving Rational Eigenvalue Problems via Linearization
- A projection method for nonlinear eigenvalue problems using contour integrals
- Residual Inverse Iteration for the Nonlinear Eigenvalue Problem
- Rational Krylov: A Practical Algorithm for Large Sparse Nonsymmetric Matrix Pencils
- A Rational Krylov Method Based on Hermite Interpolation for Nonlinear Eigenvalue Problems
- NLEIGS: A Class of Fully Rational Krylov Methods for Nonlinear Eigenvalue Problems
- Compact Rational Krylov Methods for Nonlinear Eigenvalue Problems
- Solving large‐scale nonlinear eigenvalue problems by rational interpolation and resolvent sampling based Rayleigh–Ritz method
- Algorithms for the Nonlinear Eigenvalue Problem
