TY - JOUR
T1 - Extension of floating-point filters to absolute and relative errors for numerical computation
AU - Ohta, Yuki
AU - Ozaki, Katsuhisa
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2019/5/31
Y1 - 2019/5/31
N2 - Although numerical computation is very fast, however, the results may not be accurate due to the accumulation of rounding errors. Consequently, much research has focussed on ways to verifying the accuracy of approximate solutions. Floating-point filters are one such technique. These can, for example, be used to guarantee the signs of computed results, such as those of the matrix determinants that are so important in the computational geometry field. In this paper, we extend floating-point filters to guarantee absolute and relative errors.
AB - Although numerical computation is very fast, however, the results may not be accurate due to the accumulation of rounding errors. Consequently, much research has focussed on ways to verifying the accuracy of approximate solutions. Floating-point filters are one such technique. These can, for example, be used to guarantee the signs of computed results, such as those of the matrix determinants that are so important in the computational geometry field. In this paper, we extend floating-point filters to guarantee absolute and relative errors.
UR - http://www.scopus.com/inward/record.url?scp=85067829679&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85067829679&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1218/1/012011
DO - 10.1088/1742-6596/1218/1/012011
M3 - Conference article
AN - SCOPUS:85067829679
SN - 1742-6588
VL - 1218
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012011
T2 - 3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018
Y2 - 20 October 2018
ER -