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RegularChains[FastArithmeticTools][IteratedResultantDim0] - iterated resultant of a polynomial w.r.t a 0-dim regular chain
Calling Sequence
IteratedResultantDim0(f, rc, R)
Parameters
R
-
a polynomial ring
rc
a regular chain
f
a polynomial
Description
The function call IteratedResultantDim0(f, rc, R) returns the iterated resultant of f w.r.t. rc. See the command IteratedResultant for a definition of the notion of an iterated resultant.
rc is assumed to be a zero-dimensional normalized regular chain.
Moreover R must have a prime characteristic such that FFT-based polynomial arithmetic can be used for this actual computation. The higher the degrees of f and rc are, the larger must be such that divides . If the degree of f or rc is too large, then an error is raised.
Examples
Define a ring of polynomials.
Randomly generating (dense) regular chain and polynomial
Compute the iterated resultant of pol w.r.t. tc
Compare with the generic algorithm (non-fast and non-modular algorithm) of the command IteratedResultant.
Check that the two results match.
See Also
IteratedResultant, IteratedResultantDim1, RandomRegularChainDim0, RandomRegularChainDim1, RegularChains, ResultantBySpecializationCube, SubresultantChainSpecializationCube
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