if you define k_delta*k_phi as another terms, e.g. c4, then k_phi disappears and the equations are linear.
On Tuesday, July 26, 2016 at 11:12:50 AM UTC-5, Jason Moore wrote: > > I have been working on a problem and end up needing to solve a system of > nonlinear equations that are polynomials wrt to the variables of interest. > There are six equations and six unknowns and only two of the variables are > related non-linearly. This is the basic form: > > [-c3 + 55.3719398861938], > [-c2 - 3*c3 + 1524.09472216942], > [-c1 - 3*c2 - 100*c3 - 111.682822870417*k_delta*k_phi + 16670.819288228] > [-c0 - 3*c1 - 100*c2 - 8153.56338281556*k_delta*k_phi + > 3891.45616272381*k_delta + 55610.0242428841] > [-3*c0 - 100*c1 - 90978.6714602982*k_delta*k_phi + 276475.776481344] > [-100*c0 - 38237.9055133813*k_delta + 84011.44228978] > > But more generally, I have symbolic coefficients. SymPy solve solves this > correctly! Which is cool, but it took 4 hours to solve on my machine. I > haven't tried to solve the above numerical form yet. > > I'm curious if there is something I should be doing with SymPy to help it > solve this faster. If I change some of the symbols to specific rationals > I've had it solve as quickly as 20 minutes. > > The full example is here: > http://nbviewer.jupyter.org/gist/moorepants/0e85508f1b0753b01e4d9ced83e3519c/solve_inner_loop_gains.ipynb > > Jason > moorepants.info > +01 530-601-9791 > -- You received this message because you are subscribed to the Google Groups "sympy" 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 https://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/0cae5521-2adf-43ab-ba18-424e1d76a2b4%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
