I have this equation $$ f(x) = \sum_{k=0}^{n} {a_k x^k} + b*sin(nx) $$ for given $b,a_0,a_1,...,a_n$ ($n$ being dependant on haw many $a_k$ are there) and I have to solve $x=f(x)$ using an iterative method. The only problem I have is I don't know what method should I use. If someone could just give me the name of some method I could use here I would be grateful. Thanks.
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1Do you have a range in which the solution needs to lie? – Raskolnikov May 24 '19 at 20:45
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No range unfortunately, that's the whole task. – Dario May 24 '19 at 21:39
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@Dario Well, solving $f(x)=x$ screams for the fixed point method. If $f$ will have the good properties to guarantee convergence, that is another matter... – PierreCarre May 24 '19 at 22:49