Verified Numerical Computations for Searching for Vectors with the Maximum Sum

Author:

Uchino Yuki1,Ozaki Katsuhisa2

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

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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