30-Jan-2024 22:44:09

polynomial_resultant_test():
  MATLAB/Octave version 5.2.0
  Test polynomial_resultant().

polynomial_resultant_roots_test():
  polynomial_resultant_roots() computes 
  the resultant R of polynomials P and Q
  based on knowledge of the roots of P and Q.

P(x): = +1
Q(x): = +2
   R (tabulated):   1
   R (calculated):  1

P(x): = +3 x +3
Q(x): = +1 x^2 +2 x +1
   R (tabulated):   0
   R (calculated):  0

P(x): = +1 x^3 +3 x^2 +3 x +1
Q(x): = +1 x^2 -1
   R (tabulated):   0
   R (calculated):  2.26825e-15

P(x): = +1 x^3 +2 x^2 +3 x +4
Q(x): = +5 x^2 +6 x +7
   R (tabulated):   832
   R (calculated):  832

P(x): = +1 x^3 +2 x^2 +3 x +4
Q(x): = +4 x^3 +3 x^2 +2 x +1
   R (tabulated):   -2000
   R (calculated):  -2000

P(x): = +1 x^4 -4 x^3 +5 x^2 -2 x 
Q(x): = +1 x^4 -4 x^3 +5 x^2 -2 x +1
   R (tabulated):   1
   R (calculated):  1

P(x): = +1 x^4 -4 x^3 +5 x^2 -2 x 
Q(x): = +1 x^7 -12 x^6 +60 x^5 -160 x^4 +240 x^3 -192 x^2 +64 x 
   R (tabulated):   0
   R (calculated):  0

polynomial_resultant_sylvester_test():
  polynomial_resultant_sylvester() computes 
  the resultant R of polynomials P and Q
  based on the determinant of the Sylvester matrix.

P(x): = +1
Q(x): = +2
   R (tabulated):   1
   R (calculated):  1

P(x): = +3 x +3
Q(x): = +1 x^2 +2 x +1
   R (tabulated):   0
   R (calculated):  0

P(x): = +1 x^3 +3 x^2 +3 x +1
Q(x): = +1 x^2 -1
   R (tabulated):   0
   R (calculated):  1.77636e-15

P(x): = +1 x^3 +2 x^2 +3 x +4
Q(x): = +5 x^2 +6 x +7
   R (tabulated):   832
   R (calculated):  832

P(x): = +1 x^3 +2 x^2 +3 x +4
Q(x): = +4 x^3 +3 x^2 +2 x +1
   R (tabulated):   -2000
   R (calculated):  -2000

P(x): = +1 x^4 -4 x^3 +5 x^2 -2 x 
Q(x): = +1 x^4 -4 x^3 +5 x^2 -2 x +1
   R (tabulated):   1
   R (calculated):  1

P(x): = +1 x^4 -4 x^3 +5 x^2 -2 x 
Q(x): = +1 x^7 -12 x^6 +60 x^5 -160 x^4 +240 x^3 -192 x^2 +64 x 
   R (tabulated):   0
   R (calculated):  0

polynomial_resultant_test()
  Normal end of execution.

30-Jan-2024 22:44:09