|Bill Allombert on Sun, 30 Oct 2016 12:07:32 +0100|
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|Re: Finding fixed points in gp|
On Sat, Oct 29, 2016 at 12:22:25AM -0400, Charles Greathouse wrote: > Is there a good way to find fixed points in gp? Do you mean you want to solve f(z)-z = 0 over the complex plane ? In general, you want to use Newton interation. > I found some code (simplified version below) which finds them by direct > iteration, but I have to wonder if there's a more elegant way, either in > general or in this particular case: > > li(z)=-eint1(-log(z)); > Eps_= 4.0*10.0^(-default(realprecision)); > z=1+I; zlast=0; > for(k=1, 1e6, z=li(z); if(abs(z-zlast)<Eps_, break); zlast=z) Well, this is a pathological case since li(0) is not defined. Cheers, Bill.