2006
DOI: 10.1016/j.laa.2006.04.018
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Exact and inexact breakdowns in the block GMRES method

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Cited by 43 publications
(81 citation statements)
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“…It was studied, e.g., in [9], [25], [34], [45], and applied recently, e.g., in [7]; see also [18] and references therein. We also mention block Arnoldi as a necessary important ingredient; see, e.g., [40], [41], [38, §6.12].…”
Section: Derivation Of Mpgmresmentioning
confidence: 99%
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“…It was studied, e.g., in [9], [25], [34], [45], and applied recently, e.g., in [7]; see also [18] and references therein. We also mention block Arnoldi as a necessary important ingredient; see, e.g., [40], [41], [38, §6.12].…”
Section: Derivation Of Mpgmresmentioning
confidence: 99%
“…Note that these changes of ordering can be done by storing an index vector, and no copying or deleting of vectors need be performed. This process is related to deflation in block GMRES algorithms; see, e.g., [18], [25], [34]. In block methods a vector is removed when a linear combination of the right hand side vectors has converged.…”
Section: Derivation Of Mpgmresmentioning
confidence: 99%
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“…Still, numerous new or modified iterative methods have been developed to: pipeline reductions [9], [10], avoid synchronizations [11], [12], decrease the number of iterations by means of multiple search directions [13], [14] or Krylov subspace recycling [15], [16]. Iterative methods tailored to tackle efficiently problems with multiple right-hand sides have also blossomed [17]- [19]. Finally, it can also be beneficial to couple block methods and recycling [20], [21].…”
Section: Introductionmentioning
confidence: 99%