Date: Nov 30, 2012 12:24 PM
Author: Roger Stafford
Subject: Re: Trouble finding the roots of an equation
"Marcio Barbalho" <email@example.com> wrote in message <firstname.lastname@example.org>...
> I'm trying to find n roots for this equation y = x*tan(x)-10.
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If I were doing that problem I would try using the Newton-Raphson method starting with an initial estimate that would converge for an x somewhere in 0 < x < pi/2. For each subsequent estimate add pi to the previous root. After the first few roots I would predict that convergence would become successively more rapid as the n-th roots approach (n-1)*pi for large n.