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I am trying to solve a set of coupled non-linear algebraic equations. I'm doing this using the LinearSolve fcn of mathematica and an implementation of the Newton-Raphson method. One of the issues I'm having is that I need to tell mathematica that one of these variables,let's say x, is a real number. In my Newton-Raphson scheme I initialize all of my variables, and I set x to initially be a real number. But as the process iterates x gets a complex component. Is there any command that will tell mathematica that x always needs to remain real?

I have seen that if one uses the functions Reduce and Solve, they can pick the output to be real. But unfortunately I do not believe I can use those fcns since I have a matrix equation to solve, and I do need some of the variables to be complex.

Any help is greatly appreciated.

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# Mathematica setting variable to be real number

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