CODEWITHSUNDEEP
maximaequation-solving
Devon
Devon

Reputation: 1093

Maxima: eliminate variables from equations

Given N equations in K variables, can Maxima produce N-J equations in K-J variables?

SOLVE and ELIMINATE seem unable, about to reach for pen and paper.

Upvotes: 3

Views: 590

Answers (1)

Devon
Devon

Reputation: 1093

(%i1) elim ([a = x + y, b = y + z, c = z + x, a = b * c], [a, b, c]);
(%o1)     elim([a = y + x, b = z + y, c = z + x, a = b c], [a, b, c])
(%i2) load (to_poly);
(%o2)  ~/maxima-5.44.0/share/to_poly_solve/to_poly.lisp
(%i3) elim ([a = x + y, b = y + z, c = z + x, a = b * c], [a, b, c]);
         2
(%o3) [[z  + (y + x) z + (x - 1) y - x], 
                                     [b z - y + b x - x, z + x - c, y + x - a]]
(%i4) solve (first (%o3), x);
                                     2
                                    z  + y z - y
(%o4)                        [x = - ------------]
                                     z + y - 1

Upvotes: 4

Related Questions