Infinite GMRES for Parameterized Linear Systems
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Publication:5099413
DOI10.1137/21M1410324MaRDI QIDQ5099413
Elias Jarlebring, Siobhán Correnty
Publication date: 31 August 2022
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.04082
Krylov methodsshifted linear systemsparameterized linear systemslow-rank matricescompanion linearizationinfinite Arnoldi
Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10)
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- A linear eigenvalue algorithm for the nonlinear eigenvalue problem
- Interpolatory weighted-\(\mathcal{H}_2\) model reduction
- Two recursive GMRES-type methods for shifted linear systems with general preconditioning
- An iterative method for the Helmholtz equation
- Advances in iterative methods and preconditioners for the Helmholtz equation
- Interpolatory projection methods for structure-preserving model reduction
- A perfectly matched layer for the absorption of electromagnetic waves
- On restarting the tensor infinite Arnoldi method
- On a class of preconditioners for solving the Helmholtz equation
- Krylov subspace recycling for sequences of shifted linear systems
- Choosing Regularization Parameters in Iterative Methods for Ill-Posed Problems
- A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations
- Computing a Partial Schur Factorization of Nonlinear Eigenvalue Problems Using the Infinite Arnoldi Method
- Subspace recycling accelerates the parametric macro-modeling of MEMS
- A rank-exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problems
- Julia: A Fresh Approach to Numerical Computing
- Parametric and Uncertainty Computations with Tensor Product Representations
- Recycling BiCG with an Application to Model Reduction
- Nested Krylov Methods for Shifted Linear Systems
- Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems
- Krylov-Based Model Order Reduction of Time-delay Systems
- 1 Model order reduction: basic concepts and notation
- Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well‐posedness, and Stability
- Recycling Krylov Subspaces for Sequences of Linear Systems
- Numerical solution of parameter-dependent linear systems
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Fast CG-Based Methods for Tikhonov--Phillips Regularization
- Restarted GMRES for Shifted Linear Systems
- UNCERTAINTY QUANTIFICATION FOR MAXWELL'S EQUATIONS USING STOCHASTIC COLLOCATION AND MODEL ORDER REDUCTION
- A Krylov Method for the Delay Eigenvalue Problem
- Nonlinear Parametric Inversion Using Interpolatory Model Reduction
- Compact Rational Krylov Methods for Nonlinear Eigenvalue Problems
- The Waveguide Eigenvalue Problem and the Tensor Infinite Arnoldi Method
- Stability and Stabilization of Time-Delay Systems
- Multipreconditioned Gmres for Shifted Systems
- Vector Spaces of Linearizations for Matrix Polynomials
- Recycling Subspace Information for Diffuse Optical Tomography
- Memory-efficient Arnoldi algorithms for linearizations of matrix polynomials in Chebyshev basis
- Stability of time-delay systems
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