Error estimation of floating-point summation and dot product-Reference-Cited by-同舟云学术

Error estimation of floating-point summation and dot product

Published:2011-06-10 Issue:1 Volume:52 Page:201-220
ISSN:0006-3835
Container-title:BIT Numerical Mathematics
language:en
Short-container-title:Bit Numer Math

Author:

Rump Siegfried M.

Publisher

Springer Science and Business Media LLC

Subject

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

Link

http://link.springer.com/content/pdf/10.1007/s10543-011-0342-4.pdf

Reference11 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. Demmel, J.B.: On floating point errors in Cholesky. LAPACK Working Note 14 CS-89-87, Department of Computer Science, University of Tennessee, Knoxville, TN, USA (1989)

4. Hauser, J.R.: Handling floating-point exceptions in numeric programs. ACM Trans. Program. Lang. Syst. 18(2), 139–174 (1996)

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

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