From 00971fbb870e2ac832bdea09a04bd05beaf69c6d Mon Sep 17 00:00:00 2001 From: Claudio Maggioni Date: Wed, 7 Oct 2020 15:39:10 +0200 Subject: [PATCH] mp2: all done --- mp2/Project.2.Maggioni.Claudio/ex2.m | 21 + mp2/Project.2.Maggioni.Claudio/ex6.m | 9 +- .../{lecture.m => example.m} | 0 mp2/ex2_2_spy.tex | 48 +++ mp2/ex2_3_spy.tex | 82 ++++ mp2/ex6_6_ev.tex | 60 +++ mp2/ex6_6_spy.tex | 360 ++++++++++++++++++ mp2/ex6_plot.tex | 360 ++++++++++++++++++ mp2/project.2.Maggioni.Claudio.pdf | Bin 1362614 -> 1397192 bytes mp2/project.2.Maggioni.Claudio.tex | 66 +++- 10 files changed, 1000 insertions(+), 6 deletions(-) create mode 100644 mp2/Project.2.Maggioni.Claudio/ex2.m rename mp2/Project.2.Maggioni.Claudio/{lecture.m => example.m} (100%) create mode 100644 mp2/ex2_2_spy.tex create mode 100644 mp2/ex2_3_spy.tex create mode 100644 mp2/ex6_6_ev.tex create mode 100644 mp2/ex6_6_spy.tex create mode 100644 mp2/ex6_plot.tex diff --git a/mp2/Project.2.Maggioni.Claudio/ex2.m b/mp2/Project.2.Maggioni.Claudio/ex2.m new file mode 100644 index 0000000..5c25ff0 --- /dev/null +++ b/mp2/Project.2.Maggioni.Claudio/ex2.m @@ -0,0 +1,21 @@ +n = 5; +A = sparse(n, n); +A(1,:) = 1; +A(end,:) = 1; +A(:,1) = 1; +A(:,end) = 1; + +% make sure diagonal is 0 +A(1,1) = 0; +A(n,n) = 0; + +A = A + diag(n:(2*n-1)); +spy(A); +matlab2tikz('../ex2_2_spy.tex'); + +figure; +subplot(1,2,1) +spy(A); +subplot(1,2,2) +spy(chol(A)); +matlab2tikz('../ex2_3_spy.tex'); \ No newline at end of file diff --git a/mp2/Project.2.Maggioni.Claudio/ex6.m b/mp2/Project.2.Maggioni.Claudio/ex6.m index a932c87..33e8dae 100644 --- a/mp2/Project.2.Maggioni.Claudio/ex6.m +++ b/mp2/Project.2.Maggioni.Claudio/ex6.m @@ -42,14 +42,16 @@ deg = sum(A); L = full(diag(deg) - A); [V, D] = eig(L); fprintf("lambda_2: %d\n", D(2,2)); -plot(sort(V(:,2)), '.-'); - -[ignore, p] = sort(V(:,2)); +[sv, p] = sort(V(:,2)); +figure; +plot(sv, '.-'); +%matlab2tikz('../ex6_6_ev.tex'); figure; subplot(1,2,1) spy(A); subplot(1,2,2) spy(A(p,p)); +%matlab2tikz('../ex6_6_spy.tex'); fprintf("Group 1: "); display(sort(p(1:16))'); fprintf("Group 2: "); @@ -57,3 +59,4 @@ display(sort(p(17:end))'); + diff --git a/mp2/Project.2.Maggioni.Claudio/lecture.m b/mp2/Project.2.Maggioni.Claudio/example.m similarity index 100% rename from mp2/Project.2.Maggioni.Claudio/lecture.m rename to mp2/Project.2.Maggioni.Claudio/example.m diff --git a/mp2/ex2_2_spy.tex b/mp2/ex2_2_spy.tex new file mode 100644 index 0000000..9cf45e5 --- /dev/null +++ b/mp2/ex2_2_spy.tex @@ -0,0 +1,48 @@ +% This file was created by matlab2tikz. +% +%The latest updates can be retrieved from +% http://www.mathworks.com/matlabcentral/fileexchange/22022-matlab2tikz-matlab2tikz +%where you can also make suggestions and rate matlab2tikz. +% +\definecolor{mycolor1}{rgb}{0.00000,0.44700,0.74100}% +% +\begin{tikzpicture} + +\begin{axis}[% +width=4.754in, +height=4.754in, +at={(1.648in,0.642in)}, +scale only axis, +xmin=0, +xmax=6, +xlabel style={font=\color{white!15!black}}, +xlabel={nz = 19}, +y dir=reverse, +ymin=0, +ymax=6, +axis background/.style={fill=white} +] +\addplot [color=mycolor1, only marks, mark size=2.3pt, mark=*, mark options={solid, mycolor1}, forget plot] + table[row sep=crcr]{% +1 1\\ +1 2\\ +1 3\\ +1 4\\ +1 5\\ +2 1\\ +2 2\\ +2 5\\ +3 1\\ +3 3\\ +3 5\\ +4 1\\ +4 4\\ +4 5\\ +5 1\\ +5 2\\ +5 3\\ +5 4\\ +5 5\\ +}; +\end{axis} +\end{tikzpicture}% \ No newline at end of file diff --git a/mp2/ex2_3_spy.tex b/mp2/ex2_3_spy.tex new file mode 100644 index 0000000..66fdba1 --- /dev/null +++ b/mp2/ex2_3_spy.tex @@ -0,0 +1,82 @@ +% This file was created by matlab2tikz. +% +%The latest updates can be retrieved from +% http://www.mathworks.com/matlabcentral/fileexchange/22022-matlab2tikz-matlab2tikz +%where you can also make suggestions and rate matlab2tikz. +% +\definecolor{mycolor1}{rgb}{0.00000,0.44700,0.74100}% +% +\begin{tikzpicture} + +\begin{axis}[% +width=2.603in, +height=2.603in, +at={(1.011in,1.717in)}, 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suggestions and rate matlab2tikz. +% +\definecolor{mycolor1}{rgb}{0.00000,0.44700,0.74100}% +% +\begin{tikzpicture} + +\begin{axis}[% +width=2.603in, +height=2.603in, +at={(1.011in,1.717in)}, +scale only axis, +xmin=0, +xmax=35, +xlabel style={font=\color{white!15!black}}, +xlabel={nz = 156}, +y dir=reverse, +ymin=0, +ymax=35, +axis background/.style={fill=white} +] +\addplot [color=mycolor1, only marks, mark size=2.3pt, mark=*, mark options={solid, mycolor1}, forget plot] + table[row sep=crcr]{% +1 2\\ +1 3\\ +1 4\\ +1 5\\ +1 6\\ +1 7\\ +1 8\\ +1 9\\ +1 11\\ +1 12\\ +1 13\\ +1 14\\ +1 18\\ +1 20\\ +1 22\\ +1 32\\ +2 1\\ +2 3\\ +2 4\\ +2 8\\ +2 14\\ +2 18\\ +2 20\\ +2 22\\ +2 31\\ +3 1\\ +3 2\\ +3 4\\ +3 8\\ +3 9\\ +3 10\\ +3 14\\ +3 28\\ +3 29\\ +3 33\\ +4 1\\ +4 2\\ +4 3\\ +4 8\\ +4 13\\ +4 14\\ +5 1\\ +5 7\\ +5 11\\ +6 1\\ +6 7\\ +6 11\\ +6 17\\ +7 1\\ +7 5\\ +7 6\\ +7 17\\ +8 1\\ +8 2\\ +8 3\\ +8 4\\ +9 1\\ +9 3\\ +9 31\\ +9 33\\ +9 34\\ +10 3\\ +10 34\\ +11 1\\ +11 5\\ +11 6\\ +12 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