BookGPU/Chapters/chapter12/ch12.aux

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   2 \@writefile{toc}{\author{Lilia Ziane Khodja}{}}
   3 \@writefile{toc}{\author{Rapha\IeC {\"e}l Couturier}{}}
   4 \@writefile{toc}{\author{Jacques Bahi}{}}
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   6 \@writefile{toc}{\contentsline {chapter}{\numberline {12}Solving sparse linear systems with GMRES and CG methods on GPU clusters}{291}}
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  10 \@writefile{toc}{\contentsline {section}{\numberline {12.1}Introduction}{291}}
  11 \newlabel{ch12:sec:01}{{12.1}{291}}
  12 \@writefile{toc}{\contentsline {section}{\numberline {12.2}Krylov iterative methods}{292}}
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  18 \@writefile{toc}{\contentsline {subsection}{\numberline {12.2.1}CG method}{293}}
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  29 \@writefile{toc}{\contentsline {subsection}{\numberline {12.2.2}GMRES method}{295}}
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  41 \@writefile{toc}{\contentsline {section}{\numberline {12.3}Parallel implementation on a GPU cluster}{297}}
  42 \newlabel{ch12:sec:03}{{12.3}{297}}
  43 \@writefile{toc}{\contentsline {subsection}{\numberline {12.3.1}Data partitioning}{297}}
  44 \newlabel{ch12:sec:03.01}{{12.3.1}{297}}
  45 \@writefile{lof}{\contentsline {figure}{\numberline {12.1}{\ignorespaces A data partitioning of the sparse matrix $A$, the solution vector $x$ and the right-hand side $b$ into four portions.\relax }}{298}}
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  47 \@writefile{toc}{\contentsline {subsection}{\numberline {12.3.2}GPU computing}{298}}
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  49 \@writefile{toc}{\contentsline {subsection}{\numberline {12.3.3}Data communications}{299}}
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  51 \@writefile{lof}{\contentsline {figure}{\numberline {12.2}{\ignorespaces Data exchanges between \textit  {Node 1} and its neighbors \textit  {Node 0}, \textit  {Node 2} and \textit  {Node 3}.\relax }}{300}}
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  53 \@writefile{lof}{\contentsline {figure}{\numberline {12.3}{\ignorespaces Columns reordering of a sparse sub-matrix.\relax }}{301}}
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  55 \@writefile{toc}{\contentsline {section}{\numberline {12.4}Experimental results}{302}}
  56 \newlabel{ch12:sec:04}{{12.4}{302}}
  57 \@writefile{lof}{\contentsline {figure}{\numberline {12.4}{\ignorespaces General scheme of the GPU cluster of tests composed of six machines, each with two GPUs.\relax }}{302}}
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  59 \@writefile{lof}{\contentsline {figure}{\numberline {12.5}{\ignorespaces Sketches of sparse matrices chosen from the Davis collection.\relax }}{303}}
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  61 \@writefile{lot}{\contentsline {table}{\numberline {12.1}{\ignorespaces Main characteristics of sparse matrices chosen from the Davis collection.\relax }}{303}}
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  63 \@writefile{lot}{\contentsline {table}{\numberline {12.2}{\ignorespaces Performances of the parallel CG method on a cluster of 24 CPU cores vs. on a cluster of 12 GPUs.\relax }}{304}}
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  65 \@writefile{lot}{\contentsline {table}{\numberline {12.3}{\ignorespaces Performances of the parallel GMRES method on a cluster 24 CPU cores vs. on cluster of 12 GPUs.\relax }}{304}}
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  68 \@writefile{lof}{\contentsline {figure}{\numberline {12.6}{\ignorespaces Parallel generation of a large sparse matrix by four computing nodes.\relax }}{306}}
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  70 \@writefile{lot}{\contentsline {table}{\numberline {12.4}{\ignorespaces Main characteristics of sparse banded matrices generated from those of the Davis collection.\relax }}{306}}
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  74 \@writefile{toc}{\contentsline {section}{\numberline {12.5}Conclusion}{307}}
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  78 \@writefile{toc}{\contentsline {section}{Bibliography}{308}}
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