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A Sylvester–Arnoldi type method for the generalized eigenvalue problem with two‐by‐two operator determinants

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/9783527634927openalex-snapshot
Separable Boundary‐Value Problems in Physics
inferredcites →https://doi.org/10.1007/s10543-006-0100-1openalex-snapshot
Convergence of inexact inverse iteration with application to preconditioned iterative solves
inferredcites →https://doi.org/10.1007/s10665-006-9070-1openalex-snapshot
Computing elliptic membrane high frequencies by Mathieu and Galerkin methods
inferredcites →https://doi.org/10.1016/0024-3795(92)90031-5openalex-snapshot
Krylov-subspace methods for the Sylvester equation
inferredcites →https://doi.org/10.1016/j.amc.2012.05.068openalex-snapshot
Spectral collocation solutions to multiparameter Mathieu’s system
inferredcites →https://doi.org/10.1017/s0308210500018850openalex-snapshot
On the minimal eigenvalue of a positive definite operator determinant
inferredcites →https://doi.org/10.1109/94.946710openalex-snapshot
Forward and inverse parameter estimation algorithms of interdigital dielectrometry sensors
inferredcites →https://doi.org/10.1137/0131019openalex-snapshot
Charge Singularity at the Corner of a Flat Plate
inferredcites →https://doi.org/10.1137/0613025openalex-snapshot
Implicit Application of Polynomial Filters in a k -Step Arnoldi Method
inferredcites →https://doi.org/10.1137/080742890openalex-snapshot
Inverse Iteration for Purely Imaginary Eigenvalues with Application to the Detection of Hopf Bifurcations in Large-Scale Problems
inferredcites →https://doi.org/10.1137/1.9781611970739openalex-snapshot
Numerical Methods for Large Eigenvalue Problems
inferredcites →https://doi.org/10.1137/110824590openalex-snapshot
An Error Analysis for Rational Galerkin Projection Applied to the Sylvester Equation
inferredcites →https://doi.org/10.1137/s0895479800371529openalex-snapshot
A Krylov--Schur Algorithm for Large Eigenproblems
inferredcites →https://doi.org/10.1137/s0895479802418318openalex-snapshot
A Jacobi--Davidson Type Method for the Two-Parameter Eigenvalue Problem
inferredcites →https://doi.org/10.1137/s0895479895281484openalex-snapshot
Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
inferredcites →https://doi.org/10.1137/s0895479898346193openalex-snapshot
A Continuation Method for a Right Definite Two-Parameter Eigenvalue Problem
inferredcites →https://doi.org/10.1145/361573.361582openalex-snapshot
Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4]
inferredcites →https://doi.org/10.1201/b10511openalex-snapshot
Multiparameter Eigenvalue Problems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/asjc.1965openalex-snapshot
BCR Algorithm for Solving Quadratic Inverse Eigenvalue Problems for Partially Bisymmetric Matrices
inferred← citeshttps://doi.org/10.1002/nla.2240openalex-snapshot
Subspace methods for three‐parameter eigenvalue problems
inferred← citeshttps://doi.org/10.1002/nla.2439openalex-snapshot
Subspace method for multiparameter‐eigenvalue problems based on tensor‐train representations
inferred← citeshttps://doi.org/10.1002/nla.2540openalex-snapshot
Numerical methods for rectangular multiparameter eigenvalue problems, with applications to finding optimal ARMA and LTI models
inferred← citeshttps://doi.org/10.1007/s00466-025-02656-8openalex-snapshot
A Sylvester equation approach for the computation of zero-group-velocity points in waveguides
inferred← citeshttps://doi.org/10.1007/s10092-020-00363-9openalex-snapshot
Computing several eigenvalues of nonlinear eigenvalue problems by selection
inferred← citeshttps://doi.org/10.1007/s10092-025-00677-6openalex-snapshot
On properties and numerical computation of critical points of eigencurves of bivariate matrix pencils
inferred← citeshttps://doi.org/10.1007/s10543-015-0566-9openalex-snapshot
Numerical methods for nonlinear two-parameter eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.camwa.2018.06.038openalex-snapshot
Least squares solutions of quadratic inverse eigenvalue problem with partially bisymmetric matrices under prescribed submatrix constraints
inferred← citeshttps://doi.org/10.1016/j.jcp.2015.06.015openalex-snapshot
Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems
inferred← citeshttps://doi.org/10.1016/j.laa.2022.02.024openalex-snapshot
Solving two-parameter eigenvalue problems using an alternating method
inferred← citeshttps://doi.org/10.1109/tcyb.2017.2760883openalex-snapshot
A New Varying-Parameter Recurrent Neural-Network for Online Solution of Time-Varying Sylvester Equation
inferred← citeshttps://doi.org/10.1137/19m1274316openalex-snapshot
Nonlinearizing Two-parameter Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/21m142931xopenalex-snapshot
Linearizable Eigenvector Nonlinearities
inferred← citeshttps://doi.org/10.1137/24m1652775openalex-snapshot
A Newton Method for Solving Locally Definite Multiparameter Eigenvalue Problems by Multi-index
inferred← citeshttps://doi.org/10.1142/s0219455419410086openalex-snapshot
Nonlinear Multiparameter Eigenvalue Problems in Aeroelasticity
inferred← citeshttps://doi.org/10.48550/arxiv.2105.10361openalex-snapshot
Linearizability of eigenvector nonlinearities
inferred← citeshttps://doi.org/10.53391/mmnsa.1523702openalex-snapshot
A new algorithm using L-BFGS for two-parameter eigenvalue problems from Lamé's system and simulation
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