Scatter plot
A scatter plot representing the condition numbers of SuiteSparse matrices after scaling.
![example image](/assets/img/texfantasy/tex3.png)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
%%% Full, compilable sources including data files are on Github:
%%% https://github.com/bvieuble/TeXFantasy/tree/main/scatter_plots/fig1
%%% 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}
\begin{document}
\pgfplotstableread[col sep=comma]{data.csv}{\data}
\begin{tikzpicture}
\begin{axis}
[
width=1.\linewidth,
height=0.6\linewidth,
grid,
grid style={dashed, mygray-light},
xmin= 1.,
xmax= 1e20,
xmode=log,
xlabel=Original condition number $\kappa(A)$,
ymin= 1.,
ymax= 1e20,
ymode=log,
ylabel=Scaled condition number $\kappa(A_s)$,
enlargelimits=false,
colormap={}{color={myblue} color={mypurple} color={myyellow}
color=(myred) color=(myred) color=(myred)}
]
\addplot[scatter,very thick,only marks,clip mode=individual,
mark size=2pt,fill opacity=0.2,mark=*]
table[x=kbef,y=kaft] {\data};
\draw[black, thick]
(axis cs:1e0,1e0) --
(axis cs:1e20,1e20);
\node[rotate=30] at (5e11,5e12) (id) {$\kappa(A)=\kappa(A_s)$};
\end{axis}
\end{tikzpicture}
\end{document}