2024
DOI: 10.1553/etna_vol60s40
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The stability of split-preconditioned FGMRES in four precisions

Erin Carson,
Ieva Daužickaitė

Abstract: We consider the split-preconditioned FGMRES method in a mixed-precision framework, in which four potentially different precisions can be used for computations with the coefficient matrix, application of the left preconditioner, application of the right preconditioner, and the working precision. Our analysis is applicable to general preconditioners. We obtain bounds for the backward and forward errors in the split-preconditioned FGMRES method. Our analysis further provides insight into how the various precision… Show more

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