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- W2065482264 abstract "We give new algorithms for the computation of square roots and reciprocals of power series in $mathbf {C}lBrack x rBrack$. If $M(n)$ denotes the cost of multiplying polynomials of degree $n$, the square root to order $n$ costs $(1.333ldots + o(1)) M(n)$ and the reciprocal costs $(1.444ldots + o(1)) M(n)$. These improve on the previous best results, $(1.8333ldots + o(1)) M(n)$ and $(1.5 + o(1)) M(n)$, respectively." @default.
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- W2065482264 date "2010-07-08" @default.
- W2065482264 modified "2023-09-27" @default.
- W2065482264 title "Faster algorithms for the square root and reciprocal of power series" @default.
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- W2065482264 doi "https://doi.org/10.1090/s0025-5718-2010-02392-0" @default.
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