Scatter plot
A scatter plot displaying the error after convergence of four algorithms on various SuiteSparse problems.
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% Full code on github: https://github.com/bvieuble/TeXFantasy
% Appears my the article ``Combining sparse approximate factorizations with mixed-precision iterative refinement''.
\begin{tikzpicture}
\begin{axis}
[
legend style={at={(0.4,0.95)},font=\small},
grid = major,
width=1.\linewidth,
height=0.6\linewidth,
grid style={dashed, gray!50},
extra x ticks={2E+7,1E+10},
extra x tick labels={\thead{\small fwd cond\\\small LU-IR3},
\thead{\small fwd cond\\\small LU-GMRES-IR5}},
extra x tick style={grid=none,tick pos=right,ticklabel pos=right,
tick label style={yshift=-7},font=\tiny},
xmin= 8e0, xmax= 2e14, xmode = log,
ymin= 1e-17, ymax= 1e0, ymode=log,
xtick={1e2,1e4,1e6,1e8,1e10,1e12},
xticklabels={1e2,1e4,1e6,1e8,1e10,1e12},
xlabel=K(A),
x label style={at={(axis description cs:1.0,0)},rotate=0},
ytick={1e-17,1e-9,1e-1},
yticklabels={1e-17,1e-9,1e-1},
y label style={at={(axis description cs:0,1.05)},rotate=-90},
ylabel={fwd},
yticklabel style={rotate=0},
tick align=outside,
every tick label/.append style={font=\normalsize},
enlargelimits=false
]
\addplot[mygreen-mild,only marks,mark size=3pt]
table[x=ka,y=fwddlu] {\data};
\addplot[scatter,mypurple-mild,only marks,mark=*,mark size=3pt,
nodes near coords,
point meta=explicit symbolic,
visualization depends on={\thisrow{angle} \as \angle},
visualization depends on={\thisrow{xshift} \as \xshift},
visualization depends on={\thisrow{yshift} \as \yshift},
every node near coord/.append style={color=black,
rotate=\angle,
xshift=\xshift,
yshift=\yshift,
font=\normalsize}]
table[x=ka,y=fwdddd,meta=id] {\data};
\addplot[myblue-mild,only marks,mark size=3pt]
table[x=ka,y=fwdsdq] {\data};
\addplot[myred-mild,only marks,mark size=3pt]
table[x=ka,y=fwdsdqdd] {\data};
\draw[dashed,thick] (axis cs:2E+7,0) -- (axis cs:2E+7,1E-18);
\draw[dashed,thick] (axis cs:1E+10,0) -- (axis cs:1E+10,1E-18);
\legend{DMUMPS,
{LU, $u_f=u_r$=\textsc{d}},
{LU, $u_f$=\textsc{s}, $u_r$=\textsc{q}},
{GMRES, $u_f$=\textsc{s}, $u_r$=\textsc{q}}}
\end{axis}
\end{tikzpicture}