Time- and space-efficient evaluation of a complex exponential function on machine Schonhage
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2011), pp. 105-118
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Quasi-linear time and linear space algorithms for evaluation of a complex exponential function on machine Schonhage are presented. These algorithms are based on a modified method of fast evaluation of an exponential function and on a modified method of binary splitting for hypergeometris series.
Keywords:
exponential function, constructive real functions, quasi-linear time complexity, linear space complexity.
@article{VSPUI_2011_4_a10,
author = {S. V. Yakhontov},
title = {Time- and space-efficient evaluation of a complex exponential function on machine {Schonhage}},
journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
pages = {105--118},
publisher = {mathdoc},
number = {4},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSPUI_2011_4_a10/}
}
TY - JOUR AU - S. V. Yakhontov TI - Time- and space-efficient evaluation of a complex exponential function on machine Schonhage JO - Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ PY - 2011 SP - 105 EP - 118 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VSPUI_2011_4_a10/ LA - ru ID - VSPUI_2011_4_a10 ER -
%0 Journal Article %A S. V. Yakhontov %T Time- and space-efficient evaluation of a complex exponential function on machine Schonhage %J Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ %D 2011 %P 105-118 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VSPUI_2011_4_a10/ %G ru %F VSPUI_2011_4_a10
S. V. Yakhontov. Time- and space-efficient evaluation of a complex exponential function on machine Schonhage. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 4 (2011), pp. 105-118. http://geodesic.mathdoc.fr/item/VSPUI_2011_4_a10/