SubresultantPolynomials
SubresultantPolynomials[poly1,poly2,var]
generates a list of subresultant polynomials of the polynomials poly1 and poly2 with respect to the variable var.
SubresultantPolynomials[poly1,poly2,var,Modulusp]
computes the subresultant polynomials modulo the prime p.
Details and Options
- SubresultantPolynomials require Exponent[poly1,var]≥Exponent[poly2,var].
- SubresultantPolynomials returns a list whose length is Exponent[poly2,var]+1.
- The first polynomial in the resulting list is Resultant[poly1,poly2,var].
Examples
open all close allBasic Examples (2)
This gives the list of subresultant polynomials of two univariate polynomials:
The list of subresultant polynomials of polynomials with symbolic coefficients:
The first element is equal to Resultant of the input polynomials:
Options (3)
Properties & Relations (2)
The degree of the 
subresultant polynomial is at most 
:
The coefficient of the 
subresultant polynomial at 
is the 
principal subresultant coefficient:
Subresultants computes the principal subresultant coefficients:
Coefficients of the subresultant polynomials are polynomials in the coefficients of the input:
Possible Issues (1)
SubresultantPolynomials requires exact coefficients:
Text
Wolfram Research (2012), SubresultantPolynomials, Wolfram Language function, https://reference.wolfram.com/language/ref/SubresultantPolynomials.html.
CMS
Wolfram Language. 2012. "SubresultantPolynomials." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SubresultantPolynomials.html.
APA
Wolfram Language. (2012). SubresultantPolynomials. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SubresultantPolynomials.html