Interpolations-Idee aufgenommen

documents/math-minimal-distance-to-cubic-function/math-minimal-distance-to-cubic-function.tex

@@ -592,9 +592,14 @@ chose the cubic function $f$ and $P$.
 I'm also pretty sure that there is no polynomial (no matter what degree)
 that has more than 3 solutions.}
 
-\section{Bisection method}
 
-\section{Newtons method}
+\section{Interpolation and approximation}
+\subsection{Quadratic spline interpolation}
+You could interpolate the cubic function by a quadratic spline.
+
+\subsection{Bisection method}
+
+\subsection{Newtons method}
 One way to find roots of functions is Newtons method. It gives an
 iterative computation procedure that can converge quadratically 
 if some conditions are met:
@@ -625,7 +630,7 @@ The problem of this approach is choosing a starting value that is
 close enough to the root. So we have to have a \enquote{good}
 initial guess.
 
-\section{Quadratic minimization}
+\subsection{Quadratic minimization}
 \todo[inline]{TODO}
 
 \section{Conclusion}