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Daniel Lichtblau
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Unfortunately I cannot replicate those spikes using version 13.2 or 14.0 on Ubuntu Linux. It might be platform dependent.
We'll look into it.
We take a derivative after that. Will the logs be off by something other than a constant in the variable `phi`?
Interesting method I guess. It is different from the one I'll show, but at least the similarities of being iterative and geometrically convergent. The (reasonably) well-known "power method" can be used to find the largest root. It amounts to...
A web search for “geometric algebra Mathematica package” turns up several hits. At least one was presented at a Wolfram Technology Conference, author being Terje Vold (I recall it being a good talk but I’ve not used the package).
That appears to be the series for `1/(2+x^2)`. In[5]:= Series[1/(2+x^2),{x,0,8}]//InputForm Out[5]//InputForm= SeriesData[x, 0, {1/2, 0, -1/4, 0, 1/8, 0, -1/16, 0, 1/32}, 0, 9, 1]
Ah. My mistake, I misread where the error message was located.
You are setting precision higher than that of the input. This means some bits are effectively junk. As for assessing the condition number, one way is like so. {vv, ss, ww} = SingularValueDecomposition[g]; sv = Diagonal[ss]; ...
A reference implementation of a recent variant can be found in [this prior Community thread](https://community.wolfram.com/groups/-/m/t/2344199?p_p_auth=UZ0BHnEu).
Depending on the input, maybe you would want to do a Taylor expansion instead.