Chebyshev interpolation for nonlinear eigenvalue problems

From MaRDI portal
Publication:695056

DOI10.1007/s10543-012-0381-5zbMath1263.65048OpenAlexW2053530764MaRDI QIDQ695056

Daniel Kressner, Cedric Effenberger

Publication date: 20 December 2012

Published in: BIT (Search for Journal in Brave)

Full work available at URL: http://infoscience.epfl.ch/record/184071




Related Items (38)

Solving large‐scale nonlinear eigenvalue problems by rational interpolation and resolvent sampling based Rayleigh–Ritz methodNumerical realization of Dirichlet-to-Neumann transparent boundary conditions for photonic crystal wave-guidesA convergence analysis of the inexact simplified Jacobi-Davidson algorithm for polynomial eigenvalue problemsBackward Error of Polynomial Eigenvalue Problems Solved by Linearization of Lagrange InterpolantsOn vector spaces of linearizations for matrix polynomials in orthogonal basesA Block Preconditioned Harmonic Projection Method for Large-Scale Nonlinear Eigenvalue ProblemsLinearizations of matrix polynomials in Newton basesA meshless Chebyshev collocation method for eigenvalue problems of the Helmholtz equationDerivative Interpolating Subspace Frameworks for Nonlinear Eigenvalue ProblemsEigenvalue embedding problem for quadratic regular matrix polynomials with symmetry structuresRobust Rational Approximations of Nonlinear Eigenvalue ProblemsUnnamed ItemA polynomial Jacobi-Davidson solver with support for non-monomial bases and deflationConstructing Strong Linearizations of Matrix Polynomials Expressed in Chebyshev BasesA Padé approximate linearization algorithm for solving the quadratic eigenvalue problem with low-rank dampingContour Integration for Eigenvector NonlinearitiesThe nonlinear eigenvalue problemA rank-exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problemsVector Spaces of Linearizations for Matrix Polynomials: A Bivariate Polynomial ApproachRecent Advances in Acoustic Boundary Element MethodsPreconditioned Chebyshev BiCG method for parameterized linear systemsThe infinite Lanczos method for symmetric nonlinear eigenvalue problemsChebyshev rootfinding via computing eigenvalues of colleague matrices: when is it stable?A successive quadratic approximations method for nonlinear eigenvalue problemsOn the backward error incurred by the compact rational Krylov linearizationFast and backward stable computation of eigenvalues and eigenvectors of matrix polynomialsCompact Two-Sided Krylov Methods for Nonlinear Eigenvalue ProblemsA rational approximation method for solving acoustic nonlinear eigenvalue problemsLocalization Theorems for Nonlinear Eigenvalue ProblemsOn the stability of computing polynomial roots via confederate linearizationsResolvent sampling based Rayleigh-Ritz method for large-scale nonlinear eigenvalue problemsComputing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximationParallel Krylov Solvers for the Polynomial Eigenvalue Problem in SLEPcFiedler-comrade and Fiedler--Chebyshev pencilsMemory-efficient Arnoldi algorithms for linearizations of matrix polynomials in Chebyshev basisCompact Rational Krylov Methods for Nonlinear Eigenvalue ProblemsThe Waveguide Eigenvalue Problem and the Tensor Infinite Arnoldi MethodOrthogonal iterations on companion-like pencils


Uses Software


Cites Work


This page was built for publication: Chebyshev interpolation for nonlinear eigenvalue problems