How can I numerically solve coupled polynomial or transcendental equations using MATHEMATICA?
Please see Eq. (15) in paper given in following link,
http://arxiv.org/abs/1001.4667
FindRoot[{eqs},{variable,number}]
may give you some numerical results. I think that it uses the newtonRaphson method and it is prety good. The misadvantages of this command is that it gives one solution for every region (number).
The second solution (but i don't think that it will works for you!!, i hope it will) is the NSolve[{eqs},variable]
Jamal Odysseas Maaita thanks for your answers. I tried the above stuffs. can you have any worked examples for the coupled equations using the above functions in MATHEMATICA?
I worked a little with your equations and the mathematica gives singularitites. This is logical because there is the (1/omega_i) terms so i think that you need to work a little bit your equations (work on a certain problem, unify the fractions and take in consideration the domain then work in mathematica with the above commands only in the numerator).
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