Error estimates for the summation of real numbers with application to floating-point summation

Author:

Lange Marko,Rump Siegfried M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Reference10 articles.

1. ANSI/IEEE 754-1985: IEEE Standard for Binary Floating-Point Arithmetic. New York (1985)

2. ANSI/IEEE 754-2008: IEEE Standard for Floating-Point Arithmetic. New York (2008)

3. Higham, N.J.: Accuracy and Stability of Numerical Algorithms, 2nd edn. SIAM, Philadelphia (2002)

4. Jeannerod, C.-P., Rump, S.M.: Improved error bounds for inner products in floating-point arithmetic. SIAM J. Matrix Anal. Appl. (SIMAX) 34(2), 338–344 (2013)

5. Jeannerod, C.-P., Rump, S.M.: On relative errors of floating-point operations: optimal bounds and applications. Preprint (2014)

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