RegularChains[ChainTools][IteratedResultant] - return the iterated resultant of a polynomial with respect to a regular chain
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Calling Sequence
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IteratedResultant(p, rc, R)
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Parameters
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p
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polynomial of R
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rc
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regular chain of R
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R
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polynomial ring
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Description
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The command IteratedResultant(p, rc, R) returns the iterated resultant of p with respect to rc.
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If p is a constant or all variables in p are free with respect to rc, then p is returned. Otherwise, if v is the largest variable of p algebraic with respect to rc, then IteratedResultant(r, Under(v, rc, R), R) is returned, where r is the resultant of p and the polynomial .
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This command is part of the RegularChains[ChainTools] package, so it can be used in the form IteratedResultant(..) only after executing the command with(RegularChains[ChainTools]). However, it can always be accessed through the long form of the command by using RegularChains[ChainTools][IteratedResultant](..).
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Examples
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