\begin{exampleblock}{} \begin{itemize} \only<1>{\item Parallel iterations: convergence \begin{center} \includegraphics[width=8cm]{../implementation/para_iterate_dec.ps} \end{center}} \only<2>{\item Chaotic iterations: divergence with $J^t=\{24;15;14;15;\ldots\}$ \begin{center} \includegraphics[width=4cm]{../chao_iterate_excerpt.ps} \end{center}} \only<3>{\item Asynchronous iterations: divergence even with $J^t=I$ \begin{itemize} \item $S^t = \left( \begin{array}{lllll} t & t' & t & t & t \\ t & t & t & t & t \\ t & t & t & t & t \\ t & t & t & t & t\\ t & t & t & t & t \\ \end{array} \right) \textrm{ where } t' = \left\{ \begin{array}{l} t \textrm{ if t is even;} \\ t-1 \textrm{ otherwise.} \end{array} \right. $ \item $ \begin{array}{rcl} X^{2k+1} & =& F(X^{2k}) \\ X^{2k} & =& \left( \begin{array}{l} F_1(X_1^{2k-1},X_2^{2k-2},X_3^{2k-1},X_4^{2k-1},X_5^{2k-1}) \\ F_2(X^{2k-1})\\ \vdots \\ F_5(X^{2k-1}) \end{array} \right). \end{array} $ $\rightarrow$ cycle between 3 and 11. \end{itemize} } \end{itemize} \end{exampleblock}