Recycling Krylov Subspaces for Sequences of Linear Systems

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Large‐scale topology optimization using preconditioned Krylov subspace methods with recycling (2007, methodology): “We typically recycle harmonic Ritz vectors with respect to the Krylov subspace to approximate an invariant subspace [4].”
Integral Equation Based Domain Decomposition Method for Solving Electromagnetic Wave Scattering From Non-Penetrable Objects (2011, methodology): “To speed up the computations of sub-domain solutions, we exploit a Krylov recycling algorithm, GCRO-DR [31], [32].”
Probabilistic numerics and uncertainty in computations (2015, neutral): “The approach described in the following is known in the numerical linear algebra community as the recycling of Krylov sequences [36].”
A probing method for computing the diagonal of a matrix inverse (2012, background): “Since only the right-hand sides of the linear systems change in the sequence, spectral or recycling preconditioners [47, 48] can be rather effective.”