Abstract
This paper discusses how to control the accuracy of inexact matrix-vector products in restarted GMRES. We will show that the GMRES iterations can be performed with relatively low accuracy. Furthermore, we will study how to compute the residual at restart and propose suitable strategies to control the accuracy of the matrix-vector products in this computation.
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© 2005 Springer-Verlag Berlin Heidelberg
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Sleijpen, G.L.G., van den Eshof, J., van Gijzen, M.B. (2005). Restarted GMRES with Inexact Matrix–Vector Products. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_60
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DOI: https://doi.org/10.1007/978-3-540-31852-1_60
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-24937-5
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