2006 | OriginalPaper | Chapter
Nonlinear equations
Authors : Alfio Quarteroni, Fausto Saleri
Published in: Scientific Computing with MATLAB and Octave
Publisher: Springer Berlin Heidelberg
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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.