summaryrefslogtreecommitdiff
diff options
context:
space:
mode:
-rw-r--r--bezout.tex10
1 files changed, 8 insertions, 2 deletions
diff --git a/bezout.tex b/bezout.tex
index f02fdf6..9b72684 100644
--- a/bezout.tex
+++ b/bezout.tex
@@ -192,8 +192,14 @@ is shifted by $p\epsilon$.
\includegraphics{fig/spectra_singular_1.5.pdf}
\caption{
- Eigenvalue and singular value spectra for the matrix $\partial\partial H$
- for $a=\frac54$, $\kappa=\frac34e^{i3\pi/4}$, and $\epsilon=i|\epsilon|$ for values values of $|\epsilon|$.
+ Eigenvalue and singular value spectra of the matrix $\partial\partial H$
+ for $p=3$, $a=\frac54$, $\kappa=\frac34e^{i3\pi/4}$, and
+ $\epsilon=i|\epsilon|$ with various values of $|\epsilon|$. The shaded
+ regions of the lefthand plots show the support of the eigenvalue
+ distribution. The solid line on the righthand plots shows the distribution
+ of singular values, while the overlaid histograms show empirical
+ distributions from $2^{10}\times2^{10}$ complex normal matrices with the
+ same covariance and diagonal shift as $\partial\partial H$.
} \label{fig:spectra}
\end{figure}