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A priori error bounds on invariant subspace approximations by block Krylov subspaces |
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| Authors: | M. Robb ,M. Sadkane |
| Affiliation: | a Free Field Technologies, 16 place de l'Université, B-1348 Louvain-la-Neuve, Belgium b Département de Mathématiques, Fac. des Sciences et Techniques, Université de Bretagne Occidentale, 6, avenue V. Le Gorgeu, BP 809, 29285 Brest Cedex, France |
| Abstract: | We derive a priori error bounds for the block Krylov subspace methods in terms of “the sine” between the desired invariant subspace and the block Krylov subspace. The obtained results can be seen as the block analogue of the classical a priori estimates for standard projection methods. |
| Keywords: | Block Krylov subspace Invariant subspace Convergence |
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