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13th IEEE Symposium on Computer Arithmetic (ARITH-13 '97)
A Priori Worst-Case Error Bounds for Floating-Point Computations
Asilomar, CA
March 06-March 09
ISBN: 0-8186-7846-1
ASCII Text
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Walter Kramer, "A Priori Worst-Case Error Bounds for Floating-Point Computations," Computer Arithmetic, IEEE Symposium on, pp. 64, 13th IEEE Symposium on Computer Arithmetic (ARITH-13 '97), 1997.
 
 
BibTex
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@article{ 10.1109/ARITH.1997.614880,
author = {Walter Kramer},
title = {A Priori Worst-Case Error Bounds for Floating-Point Computations},
journal ={Computer Arithmetic, IEEE Symposium on},
volume = {0},
year = {1997},
issn = {1063-6889},
pages = {64},
doi = {http://doi.ieeecomputersociety.org/10.1109/ARITH.1997.614880},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Computer Arithmetic, IEEE Symposium on
TI - A Priori Worst-Case Error Bounds for Floating-Point Computations
SN - 1063-6889
SP
EP
A1 - Walter Kramer,
PY - 1997
KW - Reliable Error Estimates
KW - Error Bounds
KW - Floating-Point Computations
KW - Table-lookup Algorithm
VL - 0
JA - Computer Arithmetic, IEEE Symposium on
ER -
 
Walter Kramer, Universit?t Karlsruhe
A new technique for the a priori calculation of rigorous error bounds for floating-point computations is introduced. The theorems given in the paper combined with interval arithmetic lead to the implementation of reliable software-routines, which enables the user to compute the desired error bounds automatically by a suitable computer program. As a prominent example a table-lookup algorithm for calculating the function exp(x) - 1 that has been published by Tang \cite{tang92} is analyzed using these new tools. The result shows the high quality of the new approach.
Index Terms:
Reliable Error Estimates, Error Bounds, Floating-Point Computations, Table-lookup Algorithm
Citation:
Walter Kramer, "A Priori Worst-Case Error Bounds for Floating-Point Computations," arith, pp.64, 13th IEEE Symposium on Computer Arithmetic (ARITH-13 '97), 1997
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