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- W2071565529 abstract "This paper concerns the fast numerical factorization of degree a + b polynomials in a neighborhood of the polynomial xa. We want to obtain the so-called splitting of one such polynomial, i.e., a degree a factor with roots close to zero and a degree b factor with roots close to infinity. An important application of splitting is complete polynomial factorization or root finding. A new algorithm for splitting polynomials is presented. This algorithm requires O(dlogϵ−1)1+δ floating point operations, with O(logϵ−1)1+δ bits of precision. As far as complexity is concerned, this is the fastest algorithm known by the authors for that problem." @default.
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- W2071565529 date "1997-02-01" @default.
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- W2071565529 title "A fast and stable algorithm for splitting polynomials" @default.
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- W2071565529 doi "https://doi.org/10.1016/s0898-1221(96)00233-7" @default.
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