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/}
}
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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/