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Sylvester |
Syntax |
Sylvester(F:POLY,G:POLY,X:INDET) |
Summary |
the Sylvester matrix of two polynomials |
Description |
This function returns the Sylvester matrix of the polynomials F and G with respect to the indeterminate X. This is the matrix used to calculate the resultant. |
Example |
Use R ::= Q[p,q,x]; F := x^3+px-q; G := Der(F,x); Sylvester(F,G,x); Mat[ [1, 0, p, -q, 0], [0, 1, 0, p, -q], [3, 0, p, 0, 0], [0, 3, 0, p, 0], [0, 0, 3, 0, p] ] ------------------------------- Det(Sylvester(F,G,x)) = Resultant(F,G,x); TRUE ------------------------------- |
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