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Is it possible to find all solutions to a system of non-linear equations, without solving them analytically?

I have implemented a python solution of Newton's Method, is there a method of getting good guesses without scanning all numbers?

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- #1

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Is it possible to find all solutions to a system of non-linear equations, without solving them analytically?

I have implemented a python solution of Newton's Method, is there a method of getting good guesses without scanning all numbers?

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HallsofIvy

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Hmm, I actually did no consider a system with infinite number of solutions. Hmm.

So there is no way to find all roots, without doing a analytical analysis of the system?

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AlephZero

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Correct. If you don't do some analysis, you don't even know how many roots there are.So there is no way to find all roots, without doing a analytical analysis of the system?