Numerical solution of a system of non linear equations
asked 2011-12-11 22:21:08 -0500
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Hi everybody! I would like to know whether there exists a simple way to solve in a numerical way a system of non linear equations (the system cannot be solved analytically). In particular, the system (in the variables a,b) I'd like to solve is the following:
-2(ab/sqrt(-1/2a^2 + b^2) - 2/(a^2b^2))(sqrt(-1/2a^2 + b^2)b - 1/(ab^2)) - 16/(a^5*b^2)=0
4b^3 + 4(sqrt(-1/2a^2 + b^2)b - 1/(ab^2))(b^2/sqrt(-1/2a^2 + b^2) + sqrt(-1/2a^2 + b^2) + 2/(ab^3)) - 8/(a^4b^3)=0
Thanks in advanced, Francesco