Recycling Krylov subspaces and reducing deflation subspaces for solving sequence of linear systems
2018
This paper presents deflation strategies related to recycling Krylov subspace methods
for solving one or a sequence of linear systems of equations. Besides well-known strategies
of deflation, Ritz- and harmonic Ritz-based deflation, we introduce an SVD-based deflation technique.
We consider the recycling in two contexts, recycling the Krylov subspace between the
cycles of restarts and recycling a deflation subspace when the matrix changes in a sequence of
linear systems. Numerical experiments on real-life reservoir simulations demonstrate the impact
of our proposed strategy.
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