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Related Items (40)

On spurious solutions encountered in Helmholtz scattering resonance computations in \(\mathbb{R}^d\) with applications to nano-photonics and acousticsComputation of scattering resonances in absorptive and dispersive media with applications to metal-dielectric nano-structuresA Structure Preserving Shift-Invert Infinite Arnoldi Algorithm for a Class of Delay Eigenvalue Problems with Hamiltonian SymmetrySolving large‐scale nonlinear eigenvalue problems by rational interpolation and resolvent sampling based Rayleigh–Ritz methodLinearizations of rational matrices from general representationsStrong Linearizations of Rational MatricesLinearizations of matrix polynomials in Newton basesEfficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann mapStrong linearizations of rational matrices with polynomial part expressed in an orthogonal basisA Padé approximate linearization algorithm for solving the quadratic eigenvalue problem with low-rank dampingThe nonlinear eigenvalue problemA rank-exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problemsLocal linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problemsThe infinite Lanczos method for symmetric nonlinear eigenvalue problemsSolving differential eigenproblems via the spectral Tau methodParallelization of the Rational Arnoldi AlgorithmThe Infinite Bi-Lanczos Method for Nonlinear Eigenvalue ProblemsNEPOn the backward error incurred by the compact rational Krylov linearizationOn restarting the tensor infinite Arnoldi methodCoupled BE-FE based vibroacoustic modal analysis and frequency sweep using a generalized resolvent sampling methodConversions between barycentric, RKFUN, and Newton representations of rational interpolantsSylvester-based preconditioning for the waveguide eigenvalue problemNLEIGS: A Class of Fully Rational Krylov Methods for Nonlinear Eigenvalue ProblemsComputation of pseudospectral abscissa for large-scale nonlinear eigenvalue problemsCompact Two-Sided Krylov Methods for Nonlinear Eigenvalue ProblemsOn minimal bases and indices of rational matrices and their linearizationsA spatially adaptive iterative method for a class of nonlinear operator eigenproblemsA rational approximation method for solving acoustic nonlinear eigenvalue problemsResolvent sampling based Rayleigh-Ritz method for large-scale nonlinear eigenvalue problemsComputing resonant modes of accelerator cavities by solving nonlinear eigenvalue problems via rational approximationVan Dooren's Index Sum Theorem and Rational Matrices with Prescribed Structural DataRoot vectors of polynomial and rational matrices: theory and computationDesign of structured controllers for linear time-delay systemsA scalable controller synthesis method for the robust control of networked systemsCompact Rational Krylov Methods for Nonlinear Eigenvalue ProblemsGeneralized Rational Krylov Decompositions with an Application to Rational ApproximationThe Waveguide Eigenvalue Problem and the Tensor Infinite Arnoldi MethodOrthogonal iterations on companion-like pencilsA Nonlinear QR Algorithm for Banded Nonlinear Eigenvalue Problems


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