Hi i want to ask if it is possible to solve the sytem of equations below with fricas:
eq1:= po^2+2*p1*p4+2*p2*p3+qo^2+q1^2+q2^2+q3^2+q4^2-po=0; eq2:=2*po*p1 +2*p2*p4+p3^2+qo*q4+q1*qo+q2*q1+q3*q2+q4*q3-p1=0; eq3:= 2*po*p2+p1^2+2*p3*p4+qo*q3+q1*q4+q2*qo+q3*q1+q4*q2-p2=0; eq4:=2*po*p3+2*p1*p2+p4^2+qo*q2+q1*q3+q2*q4+q3*q0+q4*q1-p3=0; eq5:=2*po*p4+2*p1*p3+p2^2+qo*q1+q1*q2+q2*q3+q3*q4+q4*qo-p4=0; eq6:=2*po*qo+p1*q4+p2*q3+p3*q2+p4*q1+q1*p1+q2*p2+q3*p3+q4*p4-qo=0; eq7:=2*po*q1+p1*qo+p2*q4+p3*q3+p4*q2+qo*p4+q2*p1+q3*p2+q4*p3-q1=0; eq8:=2*po*q2+p1*q1+p2*qo+p3*q4+p4*q3+qo*p3+q1*p4+q3*p1+q4*p2-q2=0; eq9:=2*po*q3+p1*q2+p2*q1+p3*qo+p4*q4+qo*p2+q1*p3+q2*p4+q4*p1-q3=0; eq10:=2*po*q4+p1*q3+p2*q2+p3*q1+p4*qo+qo*p1+q1*p2+q2*p3+q3*p4-q4=0; I tried to do it with the function *radicalSolve* and *solve*, and i got the message: "*Error detected within library code: system does not have a finite number of solutions*". I want to precise that i first tried to do it with *matlab *and *maple *and i got two different possible solution one with matlab (po=1/10; p1=1/10; p2=1/10; p3=1/10; p4=1/10; qo=1/10; q1=1/10; q2=1/10; q3=1/10; q4=1/10) and the other one with maple (p1 = 0.03344940640, p2 = -0.06720617766, p3 = 0.06720617766, p4 = -0.03344940640, po = 0.5000000000, q1 = -0.04300931701, q2 = -0.3199584031, q3 = -0.2454933756, q4 = 0.2674194114, qo = -0.1589583157). Also another possible solution (po=1/10; p1=1/10; p2=1/10; p3=1/10; p4=1/10; qo=-1/10; q1=-1/10; q2=-1/10; q3=-1/10; q4=-1/10). I need all the solution (if it is possible). Do you think that fricas can help for this? If yes, wich command or function do you advice me? Thanks in advance. souleiman -- You received this message because you are subscribed to the Google Groups "FriCAS - computer algebra system" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/fricas-devel. For more options, visit https://groups.google.com/d/optout.
