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% master: main
% format: latex
%%--------------------------------------------------------------------------
\chapter*{NOMENCLATURE}
%%--------------------------------------------------------------------------
\begin{list} {} {\labelwidth 6em \leftmargin 8em \labelsep 1.5em}
\item[$:=$] denotes definition.
\item[$\left\lfloor \cdot \right\rfloor$] The largest integer less than
$\cdot$.
\item[$H(z)$] The Z-transform of a coefficient sequence $h[n]$ is
defined by
$$
H(z) := \sum_{n=-\infty}^\infty h[n] z^{-n}.
$$
\item[$\rho(\mathbf{A})$] The spectral radius of a matrix $\mathbf{A}$ is defined
by
\[
\rho(\mathbf{A}) := \limsup_{m\rightarrow\infty} \left\|\mathbf{A}^m\right\|^{1/m}.
\]
\item[$\sigma(\mathbf{A})$] The largest eigenvalue of a matrix $\mathbf{A}$ is
defined by
\[
\sigma(\mathbf{A}) := \max\{\:\left|\lambda\right|\::\: \mbox{$\lambda$ is an
eigenvalue of $\mathbf{A}$}\}.
\]
Note that $\rho(\mathbf{A}) = \sigma(\mathbf{A}).$
\end{list}
%%--------------------------------------------------------------------------
\section*{ABBREVIATIONS}
%%--------------------------------------------------------------------------
\begin{list} {} {\labelwidth 6em \leftmargin 8em \labelsep 1.5em}
\item[AMS] American Mathematical Society
\item[CTAN] Comprehensive \TeX\ Archive Network, e.g., \\
\verb|http://ctan.tug.org|,
\verb|ftp://ctan.tug.org/tex-archive|
\end{list}
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