Absolute factorization of multivariate polynomials
โ Scribed by Corless et al.
- Book ID
- 127399715
- Publisher
- ISSAC
- Year
- 2002
- Tongue
- English
- Weight
- 116 KB
- Category
- Library
- ISBN-13
- 9781581134841
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๐ SIMILAR VOLUMES
The ring of polynomials in \(X, X_{1}, \ldots, X_{m}\) are denoted by \(\mathbf{F}_{p}\left[X, X_{1}, \ldots, X_{m}\right]\) in \(F_{p}\), that is the field of integers defined modulo \(p\). In the usual factorization algorithm defined by Wang, the given polynomial \(P\) is first factorized modulo \
A multivariate polynomial P (x 1 , . . . , xn) with real coefficients is said to be absolutely positive from a real number B iff it and all of its non-zero partial derivatives of every order are positive for x 1 , . . . , xn โฅ B. We call such B a bound for the absolute positiveness of P . This paper