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Math Forum » Discussions » Software » comp.soft-sys.matlab

Topic: Trouble finding the roots of an equation
Replies: 3   Last Post: Nov 30, 2012 12:24 PM

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Roger Stafford

Posts: 5,660
Registered: 12/7/04
Re: Trouble finding the roots of an equation
Posted: Nov 30, 2012 12:24 PM
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"Marcio Barbalho" <marciobarbalho@live.com> wrote in message <k9anuc$a22$1@newscl01ah.mathworks.com>...
> 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.

Roger Stafford

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