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| -rw-r--r-- | bezout.tex | 10 |
1 files changed, 8 insertions, 2 deletions
@@ -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} |