x = sdpvar(1,1); y = sdpvar(1,1); z = sdpvar(1,1); p = 12+y^2-2*x^3*y+2*y*z^2+x^6-2*x^3*z^2+z^4+x^2*y^2; options = sdpsettings('sos.newton',0,'sos.congruence',0); [sol,v,Q] = solvesos(sos(p),[],options); ------------------------------------------------------------------------- YALMIP SOS module started... ------------------------------------------------------------------------- Detected 0 parametric variables and 3 independent variables. Detected 0 linear inequalities, 0 equality constraints and 0 LMIs. Using kernel representation (options.sos.model=1). Initially 15 monomials in R^3