\newlabel{ch12:fig:02}{{11.2}{260}}
\@writefile{lof}{\contentsline {figure}{\numberline {11.3}{\ignorespaces Columns reordering of a sparse sub-matrix.\relax }}{261}}
\newlabel{ch12:fig:03}{{11.3}{261}}
-\@writefile{lof}{\contentsline {figure}{\numberline {11.4}{\ignorespaces General scheme of the GPU cluster of tests composed of six machines, each with two GPUs.\relax }}{262}}
-\newlabel{ch12:fig:04}{{11.4}{262}}
\@writefile{toc}{\contentsline {section}{\numberline {11.4}Experimental results}{262}}
\newlabel{ch12:sec:04}{{11.4}{262}}
-\@writefile{lof}{\contentsline {figure}{\numberline {11.5}{\ignorespaces Sketches of sparse matrices chosen from the Davis's collection.\relax }}{263}}
+\@writefile{lof}{\contentsline {figure}{\numberline {11.4}{\ignorespaces General scheme of the GPU cluster of tests composed of six machines, each with two GPUs.\relax }}{262}}
+\newlabel{ch12:fig:04}{{11.4}{262}}
+\@writefile{lof}{\contentsline {figure}{\numberline {11.5}{\ignorespaces Sketches of sparse matrices chosen from the Davis collection.\relax }}{263}}
\newlabel{ch12:fig:05}{{11.5}{263}}
-\@writefile{lot}{\contentsline {table}{\numberline {11.1}{\ignorespaces Main characteristics of sparse matrices chosen from the Davis's collection.\relax }}{264}}
-\newlabel{ch12:tab:01}{{11.1}{264}}
+\@writefile{lot}{\contentsline {table}{\numberline {11.1}{\ignorespaces Main characteristics of sparse matrices chosen from the Davis collection.\relax }}{263}}
+\newlabel{ch12:tab:01}{{11.1}{263}}
\@writefile{lot}{\contentsline {table}{\numberline {11.2}{\ignorespaces Performances of the parallel CG method on a cluster of 24 CPU cores vs. on a cluster of 12 GPUs.\relax }}{264}}
\newlabel{ch12:tab:02}{{11.2}{264}}
-\@writefile{lot}{\contentsline {table}{\numberline {11.3}{\ignorespaces Performances of the parallel GMRES method on a cluster 24 CPU cores vs. on cluster of 12 GPUs.\relax }}{265}}
-\newlabel{ch12:tab:03}{{11.3}{265}}
+\@writefile{lot}{\contentsline {table}{\numberline {11.3}{\ignorespaces Performances of the parallel GMRES method on a cluster 24 CPU cores vs. on cluster of 12 GPUs.\relax }}{264}}
+\newlabel{ch12:tab:03}{{11.3}{264}}
\newlabel{ch12:eq:20}{{11.20}{265}}
\@writefile{lof}{\contentsline {figure}{\numberline {11.6}{\ignorespaces Parallel generation of a large sparse matrix by four computing nodes.\relax }}{266}}
\newlabel{ch12:fig:06}{{11.6}{266}}
-\@writefile{lot}{\contentsline {table}{\numberline {11.4}{\ignorespaces Main characteristics of sparse banded matrices generated from those of the Davis's collection.\relax }}{267}}
-\newlabel{ch12:tab:04}{{11.4}{267}}
+\@writefile{lot}{\contentsline {table}{\numberline {11.4}{\ignorespaces Main characteristics of sparse banded matrices generated from those of the Davis collection.\relax }}{266}}
+\newlabel{ch12:tab:04}{{11.4}{266}}
\@writefile{lot}{\contentsline {table}{\numberline {11.5}{\ignorespaces Performances of the parallel CG method for solving linear systems associated to sparse banded matrices on a cluster of 24 CPU cores vs. on a cluster of 12 GPUs.\relax }}{267}}
\newlabel{ch12:tab:05}{{11.5}{267}}
-\@writefile{toc}{\contentsline {section}{\numberline {11.5}Hypergraph partitioning}{267}}
+\@writefile{lot}{\contentsline {table}{\numberline {11.6}{\ignorespaces Performances of the parallel GMRES method for solving linear systems associated to sparse banded matrices on a cluster of 24 CPU cores vs. on a cluster of 12 GPUs.\relax }}{267}}
+\newlabel{ch12:tab:06}{{11.6}{267}}
+\@writefile{toc}{\contentsline {section}{\numberline {11.5}Conclusion}{267}}
\newlabel{ch12:sec:05}{{11.5}{267}}
-\@writefile{lot}{\contentsline {table}{\numberline {11.6}{\ignorespaces Performances of the parallel GMRES method for solving linear systems associated to sparse banded matrices on a cluster of 24 CPU cores vs. on a cluster of 12 GPUs.\relax }}{268}}
-\newlabel{ch12:tab:06}{{11.6}{268}}
-\@writefile{lot}{\contentsline {table}{\numberline {11.7}{\ignorespaces Main characteristics of sparse five-bands matrices generated from those of the Davis's collection.\relax }}{268}}
-\newlabel{ch12:tab:07}{{11.7}{268}}
-\@writefile{lof}{\contentsline {figure}{\numberline {11.7}{\ignorespaces Parallel generation of a large sparse five-bands matrix by four computing nodes.\relax }}{269}}
-\newlabel{ch12:fig:07}{{11.7}{269}}
-\@writefile{lot}{\contentsline {table}{\numberline {11.8}{\ignorespaces Performances of parallel CG solver for solving linear systems associated to sparse five-bands matrices on a cluster of 24 CPU cores vs. on a cluster of 12 GPUs\relax }}{269}}
-\newlabel{ch12:tab:08}{{11.8}{269}}
-\@writefile{lot}{\contentsline {table}{\numberline {11.9}{\ignorespaces Performances of parallel GMRES solver for solving linear systems associated to sparse five-bands matrices on a cluster of 24 CPU cores vs. on a cluster of 12 GPUs\relax }}{270}}
-\newlabel{ch12:tab:09}{{11.9}{270}}
-\@writefile{lof}{\contentsline {figure}{\numberline {11.8}{\ignorespaces An example of the hypergraph partitioning of a sparse matrix decomposed between three computing nodes.\relax }}{271}}
-\newlabel{ch12:fig:08}{{11.8}{271}}
-\@writefile{lot}{\contentsline {table}{\numberline {11.10}{\ignorespaces Performances of the parallel CG solver using hypergraph partitioning for solving linear systems associated to sparse five-bands matrices on a cluster of 24 CPU cores vs. on a cluster of 12 GPU.\relax }}{272}}
-\newlabel{ch12:tab:10}{{11.10}{272}}
-\@writefile{lot}{\contentsline {table}{\numberline {11.11}{\ignorespaces Performances of the parallel GMRES solver using hypergraph partitioning for solving linear systems associated to sparse five-bands matrices on a cluster of 24 CPU cores vs. on a cluster of 12 GPU.\relax }}{273}}
-\newlabel{ch12:tab:11}{{11.11}{273}}
-\@writefile{lot}{\contentsline {table}{\numberline {11.12}{\ignorespaces The total communication volume between 12 GPU computing nodes without and with the hypergraph partitioning method.\relax }}{274}}
-\newlabel{ch12:tab:12}{{11.12}{274}}
-\newlabel{ch12:fig:09.01}{{11.9(a)}{275}}
-\newlabel{sub@ch12:fig:09.01}{{(a)}{275}}
-\newlabel{ch12:fig:09.02}{{11.9(b)}{275}}
-\newlabel{sub@ch12:fig:09.02}{{(b)}{275}}
-\@writefile{lof}{\contentsline {figure}{\numberline {11.9}{\ignorespaces Weak-scaling of the parallel CG and GMRES solvers on a GPU cluster for solving large sparse linear systems.\relax }}{275}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Sparse band matrices}}}{275}}
-\@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Sparse five-bands matrices}}}{275}}
-\newlabel{ch12:fig:09}{{11.9}{275}}
-\@writefile{toc}{\contentsline {section}{\numberline {11.6}Conclusion}{275}}
-\newlabel{ch12:sec:06}{{11.6}{275}}
-\@writefile{toc}{\contentsline {section}{Bibliography}{276}}
+\@writefile{toc}{\contentsline {section}{Bibliography}{268}}
\@setckpt{Chapters/chapter12/ch12}{
-\setcounter{page}{278}
-\setcounter{equation}{25}
+\setcounter{page}{270}
+\setcounter{equation}{22}
\setcounter{enumi}{4}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
-\setcounter{enumiv}{15}
+\setcounter{enumiv}{10}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{1}
\setcounter{chapter}{11}
-\setcounter{section}{6}
+\setcounter{section}{5}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
-\setcounter{figure}{9}
-\setcounter{table}{12}
+\setcounter{figure}{6}
+\setcounter{table}{6}
\setcounter{numauthors}{0}
\setcounter{parentequation}{46}
\setcounter{subfigure}{0}
