Title | ||
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Mixed precision iterative refinement methods for linear systems: convergence analysis based on krylov subspace methods |
Abstract | ||
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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. |
Year | DOI | Venue |
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2010 | 10.1007/978-3-642-28145-7_24 | PARA (2) |
Keywords | Field | DocType |
different floating point precision,krylov subspace method,plain solver,inner solver,linear system,krylov subspace,mixed precision iterative refinement,high precision,convergence analysis,error correction solver,certain krylov subspace method | Krylov subspace,Convergence (routing),Iterative refinement,Generalized minimal residual method,Computer science,Iterative method,Floating point,Error detection and correction,Theoretical computer science,Solver | Conference |
Volume | ISSN | Citations |
7134 | 0302-9743 | 4 |
PageRank | References | Authors |
0.46 | 4 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hartwig Anzt | 1 | 222 | 31.97 |
Vincent Heuveline | 2 | 179 | 30.51 |
Björn Rocker | 3 | 13 | 2.67 |