parallelisim in the envelope-following method and parallelize the
Newton update solving part, which is the most computational expensive,
in GPU platforms to boost the simulation performance. To further
-speed up the iterative GMRES\index{GMRES} solving for Newton update equation in the
+speed up the iterative GMRES\index{iterative method!GMRES} solving for Newton update equation in the
envelope-following method, we apply the matrix-free\index{matrix-free}
Krylov subspace\index{Krylov subspace} basis
generation technique, which was previously used for RF simulation.
{\resizebox{.9\textwidth}{!}{\input{./Chapters/chapter16/figures/envelope.pdf_t}}
\label{fig:ef2} }
\caption{Transient envelope-following\index{envelope-following} analysis.
- (Both two figures reflect backward-Euler\index{backward-Euler} style envelope-following.)}
+ (Both two figures reflect backward Euler\index{backward Euler} style envelope-following.)}
\label{fig:ef_intro}
\end{figure}
%\IEEEpubidadjcol
-Also, iterative GMRES\index{GMRES} solver is typically used in the
+Also, iterative GMRES\index{iterative method!GMRES} solver is typically used in the
envelope-following method to compute the solution of Newton update
due to its efficiency compared to direct LU\index{LU} method.
However, as the Jacobian matrix\index{Jacobian matrix}