On Tue, 5 May 2015, Paul Royik wrote:

How can this be applied to systems?

What kind of systems? Let us define f(x,y):

f(\sqrt{2}, \sqrt[3}) = 0
f(x,y) = x^2+y^2+1 if (x is not \sqrt{2}) or (y is not \sqrt[3})

Now this clearly has a root, but no numerical method can find it. So we must have some assumptions.

--
Jori Mäntysalo

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