Show that the origin is a saddle point for solutions of x_{k+1} = Ax_{k} , where
A = \left[ \begin{matrix} 1.25 & -.75 \\ -.75 & 1.25 \end{matrix} \right]
Find the directions of greatest attraction and greatest repulsion.
Show that the origin is a saddle point for solutions of x_{k+1} = Ax_{k} , where
A = \left[ \begin{matrix} 1.25 & -.75 \\ -.75 & 1.25 \end{matrix} \right]
Find the directions of greatest attraction and greatest repulsion.