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Bound on the roots of trigonometric equation

The purpose of this section is to present an algorithm which enable to determine bounds on the roots of an equation $F$ in the unknown $x$ of the form:
F= \sum a_k\sin^m(x)\cos^n(x)
\end{displaymath} (4.3)

with $m$ in $[0,M]$ and $n$ in $[0,N]$ and $x$ in $(\underline{x},\overline{x})$.


Jean-Pierre Merlet 2012-12-20