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I have a set of 5 non-linear equations with highly complicated and long forms for which I wish to find the unique solution. I was going to tackle this problem with Broyden's method since the derivatives cannot be easily found.

However, even if I get a solution from this, this is not the same as proofing that only one unique solution exists.

What method would readers recommend I employ to attempt to prove whether there is a unique solution or not to this problem? I was thinking along the lines of covariance matrices...

Natski

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# Existential Proof of a Unique Solution to a Set of Non-Linear Equations

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