plot
A plot representing the convergence of mixed precision restarted GMRES for different set of precisions and matrices.
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%%% Full, compilable sources including data files are on Github:
%%% https://github.com/bvieuble/TeXFantasy/tree/main/plots/fig2
%%% Appears in my thesis ``Mixed precision iterative refinement for the
%%% solution of large sparse linear systems''.
% Compiled with XeLaTeX
% TeX-command-extra-options: "-shell-escape"
\documentclass[convert={outext=.png},border=10pt]{standalone}
\usepackage{tikz}
\usepackage{pgfplots, pgfplotstable}
\pgfplotsset{compat=newest}
\input{color_theme.tex}
\pgfplotstableread[col sep=comma]{data/1138_bus.csv}{\dataa}
\pgfplotstableread[col sep=comma]{data/bcsstk19.csv}{\datab}
\pgfplotstableread[col sep=comma]{data/Vehicle_10NN.csv}{\datac}
\pgfplotstableread[col sep=comma]{data/pores_3.csv}{\datad}
\begin{document}
\begin{tikzpicture}
\begin{axis}
[
legend style={at={(.9,.85)}, font=\normalsize},
axis x line=left,
axis y line=middle,
grid = major,
grid style={dashed, gray!30},
width=1.\linewidth,
height=0.375\linewidth,
xmin= 0,
xtick={0, 20, 40, 60, 80, 100, 120},
xticklabels={0, 20, 40, 60, 80, 100, 120},
x tick label style={font=\normalsize},
ymin= 1e-17,
ymax= 5e1,
ymode=log,
y tick label style={rotate=0,font=\normalsize},
ytick={1e0, 1e-8, 1e-16},
yticklabels={1e0, 1e8, 1e16},
y tick label style={font=\normalsize},
y label style={at={(axis description cs:-0.1,0.5)},rotate=90,
anchor=south},
ylabel=Forward error,
title style={yshift=-.2cm},
title={1138\_bus ($1138\times 1138$) - ILUT($10^{-6}$)},
at={(0, 0)}
]
\addplot[mark=none,color=myblue,thick]
table[x=it,y=ddqsdd]
{\dataa};
\addplot[mark=x,only marks,mark size=4pt,thick,color=myblue,forget
plot, thick]
table[x=it,y=ddqsdd-rstrt]
{\dataa};
\addplot[mark=none,color=myred,thick]
table[x=it,y=ddqssd]
{\dataa};
\addplot[mark=x,only marks,mark size=4pt,thick,color=myred,forget plot,
thick]
table[x=it,y=ddqssd-rstrt]
{\dataa};
\addplot[mark=none,color=mygreen,thick]
table[x=it,y=ddqsss]
{\dataa};
\addplot[mark=x,only marks,mark size=4pt,thick,color=mygreen,forget
plot,thick]
table[x=it,y=ddqsss-rstrt]
{\dataa};
\legend{\textsc{sdd}, \textsc{ssd}, \textsc{sss}}
\end{axis}
\begin{axis}
[
legend style={at={(.9,.85)}, font=\normalsize},
axis x line=left,
axis y line=middle,
grid = major,
grid style={dashed, gray!30},
width=1.\linewidth,
height=0.375\linewidth,
xmin= 0,
xtick={0, 5, 10, 15, 20, 25, 30, 35, 40, 45},
xticklabels={0, 5, 10, 15, 20, 25, 30, 35, 40, 45},
x tick label style={font=\normalsize},
ymin= 1e-17,
ymax= 5e1,
ymode=log,
y tick label style={rotate=0,font=\normalsize},
ytick={1e0, 1e-8, 1e-16},
yticklabels={1e0, 1e8, 1e16},
y tick label style={font=\normalsize},
y label style={at={(axis description cs:-0.1,0.5)},rotate=90,
anchor=south},
ylabel=Forward error,
title style={yshift=-.2cm},
title={bcsstk19 ($817\times 817$) - LU},
at={(0, -70)}
]
\addplot[mark=none,color=myblue,thick]
table[x=it,y=ddqsdd]
{\datab};
\addplot[mark=x,only marks,mark size=4pt,thick,color=myblue,forget
plot,thick]
table[x=it,y=ddqsdd-rstrt]
{\datab};
\addplot[mark=none,color=myred,thick]
table[x=it,y=ddqssd]
{\datab};
\addplot[mark=x,only marks,mark size=4pt,thick,color=myred,forget plot,
thick]
table[x=it,y=ddqssd-rstrt]
{\datab};
\addplot[mark=none,color=mygreen,thick]
table[x=it,y=ddqsss]
{\datab};
\addplot[mark=x,only marks,mark size=4pt,thick,color=mygreen,forget
plot,thick]
table[x=it,y=ddqsss-rstrt]
{\datab};
\legend{\textsc{sdd}, \textsc{ssd}, \textsc{sss}}
\end{axis}
\begin{axis}
[
legend style={at={(.9,.85)}, font=\normalsize},
axis x line=left,
axis y line=middle,
grid = major,
grid style={dashed, gray!30},
width=1.\linewidth,
height=0.375\linewidth,
xmin= 0,
xtick={0,2,4,6,8,10,12,14,16,18,20},
xticklabels={0,2,4,6,8,10,12,14,16,18,20},
x tick label style={font=\normalsize},
ymin= 1e-17,
ymax= 5e1,
ymode=log,
y tick label style={rotate=0,font=\normalsize},
ytick={1e0, 1e-8, 1e-16},
yticklabels={1e0, 1e8, 1e16},
y tick label style={font=\normalsize},
y label style={at={(axis description cs:-0.1,0.5)},rotate=90,
anchor=south},
ylabel=Forward error,
title style={yshift=-.2cm},
title={pores\_3 ($532\times 532$) - ILUT($10^{-6}$)},
at={(0, -140)}
]
\addplot[mark=none,color=myblue,thick]
table[x=it,y=ddqhss]
{\datac};
\addplot[mark=x,only marks,mark size=4pt,thick,color=myblue,forget
plot,thick]
table[x=it,y=ddqhss-rstrt]
{\datac};
\addplot[mark=none,color=myred,thick]
table[x=it,y=ddqhhs]
{\datac};
\addplot[mark=x,only marks,mark size=4pt,thick,color=myred,forget plot,
thick]
table[x=it,y=ddqhhs-rstrt]
{\datac};
\addplot[mark=none,color=mygreen,thick]
table[x=it,y=ddqhhh]
{\datac};
\addplot[mark=x,only marks,mark size=4pt,thick,color=mygreen,forget
plot,thick]
table[x=it,y=ddqhhh-rstrt]
{\datac};
\legend{\textsc{hss}, \textsc{hhs}, \textsc{hhh}}
\end{axis}
\begin{axis}
[
legend style={at={(.9,.85)}, font=\normalsize},
axis x line=left,
axis y line=middle,
grid = major,
grid style={dashed, gray!30},
width=1.\linewidth,
height=0.375\linewidth,
xmin= 0,
xtick={0,10,20,30,40,50,60,70,80},
xticklabels={0,10,20,30,40,50,60,70,80},
xlabel=\#it,
x tick label style={font=\normalsize},
ymin= 1e-17,
ymax= 5e1,
ymode=log,
y tick label style={rotate=0,font=\normalsize},
ytick={1e0, 1e-8, 1e-16},
yticklabels={1e0, 1e8, 1e16},
y tick label style={font=\normalsize},
y label style={at={(axis description cs:-0.1,0.5)},rotate=90,
anchor=south},
ylabel=Forward error,
title style={yshift=-.2cm},
title={pores\_3 ($532\times 532$) - ILUT($10^{-6}$)},
at={(0, -210)}
]
\addplot[mark=none,color=myblue,thick]
table[x=it,y=ddqhss]
{\datad};
\addplot[mark=x,only marks,mark size=4pt,thick,color=myblue,forget
plot,thick]
table[x=it,y=ddqhss-rstrt]
{\datad};
\addplot[mark=none,color=myred,thick]
table[x=it,y=ddqhhs]
{\datad};
\addplot[mark=x,only marks,mark size=4pt,thick,color=myred,forget plot,
thick]
table[x=it,y=ddqhhs-rstrt]
{\datad};
\addplot[mark=none,color=mygreen,thick]
table[x=it,y=ddqhhh]
{\datad};
\addplot[mark=x,only marks,mark size=4pt,thick,color=mygreen,forget
plot,thick]
table[x=it,y=ddqhhh-rstrt]
{\datad};
\legend{\textsc{hss}, \textsc{hhs}, \textsc{hhh}}
\end{axis}
\end{tikzpicture}
\end{document}