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| -rw-r--r-- | 2-point.tex | 36 |
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diff --git a/2-point.tex b/2-point.tex index 6acc975..d5ef022 100644 --- a/2-point.tex +++ b/2-point.tex @@ -226,19 +226,43 @@ The gradient and Hessian at a stationary point are then where $\partial=\frac\partial{\partial\mathbf s}$ denotes the derivative with respect to $\mathbf s$. \begin{figure} - \includegraphics{figs/spectrum_saddle.pdf} + \begin{minipage}[t]{0.31\textwidth} + \centering + \includegraphics{figs/spectrum_saddle.pdf}\\ + \footnotesize\textbf{extensive saddle} + \end{minipage} \hfill - \includegraphics{figs/spectrum_marginal.pdf} + \begin{minipage}[t]{0.31\textwidth} + \centering + \includegraphics{figs/spectrum_marginal.pdf}\\ + \footnotesize\textbf{marginal minimum} + \end{minipage} \hfill - \includegraphics{figs/spectrum_minimum.pdf}\\ + \begin{minipage}[t]{0.31\textwidth} + \centering + \includegraphics{figs/spectrum_minimum.pdf}\\ + \footnotesize\textbf{stable minimum} + \end{minipage} \vspace{1em} - \includegraphics{figs/spectrum_saddle_2.pdf} + \begin{minipage}[t]{0.31\textwidth} + \centering + \includegraphics{figs/spectrum_saddle_2.pdf}\\ + \footnotesize\textbf{oriented saddle} + \end{minipage} \hfill - \includegraphics{figs/spectrum_minimum_2.pdf} + \begin{minipage}[t]{0.31\textwidth} + \centering + \includegraphics{figs/spectrum_minimum_2.pdf}\\ + \footnotesize\textbf{oriented minimum} + \end{minipage} \hfill - \includegraphics{figs/spectrum_saddle_3.pdf} + \begin{minipage}[t]{0.31\textwidth} + \centering + \includegraphics{figs/spectrum_saddle_3.pdf}\\ + \footnotesize\textbf{oriented index-one saddle} + \end{minipage} \caption{ Illustration of the interpretation of the stability $\mu$, which sets the |