Re: Fixed point of a mod equation?

From: P (5r.Ej_at_guest.arnes.si)
Date: 01/31/05 

Date: Mon, 31 Jan 2005 08:18:12 +0100

<nobrow@eircom.net> je napisal v sporocilo
news:1107002009.723919.72230@f14g2000cwb.googlegroups.com ...
> Is it possible to solve equations of the form
>
> ax = b(mod x)
>
> , for given a and b.
>

ax = b(mod x)
ax - b = kx; (k integer)
ax - kx = b
x(a - k) = b
    if a =/= k, is x = b/(a - k)

> Or if you like, can one find a fixed point of
> f(x) = ( b(mod x) )/a
>
> Any approximation technique even?
>
> Thanks?
>

I hope it helps, Peter