Compress‐and‐restart block Krylov subspace methods for Sylvester matrix equations

@article{Kressner2020CompressandrestartBK,
  title={Compress‐and‐restart block Krylov subspace methods for Sylvester matrix equations},
  author={Daniel Kressner and Kathryn Lund and Stefano Massei and Davide Palitta},
  journal={Numerical Linear Algebra with Applications},
  year={2020},
  volume={28}
}
Block Krylov subspace methods (KSMs) comprise building blocks in many state‐of‐the‐art solvers for large‐scale matrix equations as they arise, for example, from the discretization of partial differential equations. While extended and rational block Krylov subspace methods provide a major reduction in iteration counts over polynomial block KSMs, they also require reliable solvers for the coefficient matrices, and these solvers are often iterative methods themselves. It is not hard to devise… 

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...