Verified Numerical Computations for Searching for Vectors with the Maximum Sum
Author:
Affiliation:
1. Graduate School of Engineering and Science, Shibaura Institute of Technology
2. Department of Mathematical Sciences, Shibaura Institute of Technology
Publisher
Japan Society for Simulation Technology
Subject
General Engineering
Link
https://www.jstage.jst.go.jp/article/jasse/8/1/8_53/_pdf
Reference18 articles.
1. [1] ANSI/IEEE Std 754-2008, IEEE Standard for Floating Point Arithmetic, IEEE, 2008.
2. [2] S. M. Rump, T. Ogita, S. Oishi: Accurate floating-point summation part I: Faithful rounding, SIAM J. Sci. Comput., 31:1 (2008), 189-224.
3. [3] T. Ogita, S. M. Rump, S. Oishi: Accurate sum and dot product, SIAM J. Sci. Comput., 26:6 (2005), 1955-1988.
4. [4] N. Yamanaka, T. Ogita, S. M. Rump, S. Oishi: A parallel algorithm of accurate dot product, Parallel Comput., 34:6-8 (2008), 392-410.
5. [5] S. M. Rump: Ultimately fast accurate summation, SIAM J. Sci. Comput., 31:5 (2009), 3466-3502.
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