% 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}