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 scienti fic computing. In general, this task cannot be accomplished in a finite number of operations. For instance, we have already seen in Section 1.4.1 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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© 2006 Springer
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Quarteroni, A., Saleri, F. (2006). Nonlinear equations. In: Scientific Computing with MATLAB and Octave. Texts in Computational Science and Engineering, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32613-8_2
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DOI: https://doi.org/10.1007/3-540-32613-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-32612-0
Online ISBN: 978-3-540-32613-7
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