TY - GEN
T1 - Improvement of the error bound for the dot product using the unit in the first place
AU - Ozaki, Katsuhisa
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 2016/10/20
Y1 - 2016/10/20
N2 - This paper is concerned with rounding error estimation for the dot product for numerical computations. Recently, Rump proposed a new type of error bounds for summation and the dot product using the unit in the first place of floating-point numbers. Our aim is to improve the error bound of the dot product. As a result, the constant of the error bound can be reduced.
AB - This paper is concerned with rounding error estimation for the dot product for numerical computations. Recently, Rump proposed a new type of error bounds for summation and the dot product using the unit in the first place of floating-point numbers. Our aim is to improve the error bound of the dot product. As a result, the constant of the error bound can be reduced.
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U2 - 10.1063/1.4965377
DO - 10.1063/1.4965377
M3 - Conference contribution
AN - SCOPUS:84995463501
T3 - AIP Conference Proceedings
BT - Numerical Computations
A2 - Sergeyev, Yaroslav D.
A2 - Mukhametzhanov, Marat S.
A2 - Dell'Accio, Francesco
A2 - Mukhametzhanov, Marat S.
A2 - Kvasov, Dmitri E.
A2 - Sergeyev, Yaroslav D.
A2 - Kvasov, Dmitri E.
PB - American Institute of Physics Inc.
T2 - 2nd International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2016
Y2 - 19 June 2016 through 25 June 2016
ER -