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• W2055816478 abstract "Shuhong Gao (2003) [6] has proposed an efficient algorithm to factor a bivariate polynomial f over a field F. This algorithm is based on a simple partial differential equation and depends on a crucial fact: the dimension of the polynomial solution space G associated with this differential equation is equal to the number r of absolutely irreducible factors of f. However, this holds only when the characteristic of F is either zero or sufficiently large in terms of the degree of f. In this paper we characterize a vector subspace of G for which the dimension is r, regardless of the characteristic of F, and the properties of Gao’s construction hold. Moreover, we identify a second vector subspace of G that leads to an analogous theory for the rational factorization of f." @default.
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• W2055816478 date "2011-04-01" @default.
• W2055816478 modified "2023-10-18" @default.
• W2055816478 title "A note on Gao’s algorithm for polynomial factorization" @default.
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• W2055816478 doi "https://doi.org/10.1016/j.tcs.2010.11.048" @default.
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