Abstract
Computing the zeros of a real function f (equivalently, the roots of the equation \(f(x)=0\)) is a problem that we encounter quite often in Scien- tific Computing. In general, this task cannot be accomplished in a finite number of operations. For instance, we have already seen in Section 1.5.1 that when f is a generic polynomial of degree greater than four, there do not exist explicit formulae for the zeros. The situation is even more difficult when f is not a polynomial.
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© 2014 Springer-Verlag Berlin Heidelberg
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Quarteroni, A., Saleri, F., Gervasio, P. (2014). Nonlinear equations. In: Scientific Computing with MATLAB and Octave. Texts in Computational Science and Engineering, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45367-0_2
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DOI: https://doi.org/10.1007/978-3-642-45367-0_2
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