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May 4, 2014 at 22:53 comment added tau1777 @Jamie, Sorry for the late reply. Yes, FindRoot is a numerical approach. And yes, the Conjugate-Gradient approach would work as you say. It's not the best resource but this wiki link, en.wikipedia.org/wiki/Conjugate_gradient_method, is a good place to start if you're thinking of going that route.
Apr 26, 2014 at 17:16 comment added Jamie So changing to using "FindRoot" rather than "Solve" would mean moving from an analytical (or symbolic) solution to a numerical one, right? If I moved toward the partial Conjugate-Gradient approach you're proposing, would it involve putting in numerical guesses for some variables, and then allowing Mathematica to try and solve for the remaining variables analytically?
Apr 26, 2014 at 2:16 history answered tau1777 CC BY-SA 3.0