Efficient Solution of Symmetric Eigenvalue Problems from Families of Coupled Systems

@article{Hannukainen2019EfficientSO,
  title={Efficient Solution of Symmetric Eigenvalue Problems from Families of Coupled Systems},
  author={Antti Hannukainen and Jarmo Malinen and Antti Ojalammi},
  journal={SIAM J. Numer. Anal.},
  year={2019},
  volume={57},
  pages={1789-1814}
}
Efficient solution of the lowest eigenmodes is studied for a family of related eigenvalue problems with common $2\times 2$ block structure. It is assumed that the upper diagonal block varies between different versions while the lower diagonal block and the range of the coupling blocks remains unchanged. Such block structure naturally arises when studying the effect of a subsystem to the eigenmodes of the full system. The proposed method is based on interpolation of the resolvent function after… Expand
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