Abstract
The convergence analysis of Krylov subspace solvers usually provides an estimation for the computational cost. Exact knowledge about the convergence theory of error correction methods using different floating point precision formats would enable to determine a priori whether the implementation of a mixed precision iterative refinement solver using a certain Krylov subspace method as error correction solver outperforms the plain solver in high precision. This paper reveals characteristics of mixed precision iterative refinement methods using Krylov subspace methods as inner solver.
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Anzt, H., Heuveline, V., Rocker, B. (2012). Mixed Precision Iterative Refinement Methods for Linear Systems: Convergence Analysis Based on Krylov Subspace Methods. In: Jónasson, K. (eds) Applied Parallel and Scientific Computing. PARA 2010. Lecture Notes in Computer Science, vol 7134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28145-7_24
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DOI: https://doi.org/10.1007/978-3-642-28145-7_24
Publisher Name: Springer, Berlin, Heidelberg
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