Publisher DOI: | 10.1007/s11155-006-9007-4 | Title: | Towards optimal use of multi-precision arithmetic : a remark | Language: | English | Authors: | Kreinovich, Vladik Rump, Siegfried M. |
Issue Date: | 29-Aug-2006 | Publisher: | Springer Science + Business Media B.V. | Source: | Reliable Computing 12 (5): 365-369 (2006) | Journal or Series Name: | Reliable Computing | Abstract (english): | If standard-precision computations do not lead to the desired accuracy, then it is reasonable to increase precision until we reach this accuracy. What is the optimal way of increasing precision? One possibility is to choose a constant q > 1, so that if the precision which requires the time t did not lead to a success, we select the next precision that requires time q ̇ ṫ It was shown that among such strategies, the optimal (worst-case) overhead is attained when q = 2. In this paper, we show that this "time-doubling" strategy is optimal among all possible strategies, not only among the ones in which we always increase time by a constant q > 1. © Springer 2006. |
URI: | http://hdl.handle.net/11420/8903 | ISSN: | 1573-1340 | Institute: | Zuverlässiges Rechnen E-19 | Document Type: | Article | Funded by: | NASA Army Research Lab University of Texas System Texas Department of Transportation |
Appears in Collections: | Publications without fulltext |
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