Corpus ID: 237941012

Compound Krylov subspace methods for parametric linear systems

@article{Autio2021CompoundKS,
  title={Compound Krylov subspace methods for parametric linear systems},
  author={Antti Autio and Antti Hannukainen},
  journal={ArXiv},
  year={2021},
  volume={abs/2109.12206}
}
In this work, we propose a reduced basis method for efficient solution of parametric linear systems. The coefficient matrix is assumed to be a linear matrix-valued function that is symmetric and positive definite for admissible values of the parameter σ ∈ Rs. We propose a solution strategy where one first computes a basis for the appropriate compound Krylov subspace and then uses this basis to compute a subspace solution for multiple σ. Three kinds of compound Krylov subspaces are discussed… Expand

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