From 5eea5d6feb05fc555120808ac4895391eb778325 Mon Sep 17 00:00:00 2001 From: Claudio Maggioni Date: Tue, 6 Oct 2020 14:43:53 +0200 Subject: [PATCH] mp2: done 1-6 --- mp2/Project.2.Maggioni.Claudio/ex4.m | 11 +- mp2/Project.2.Maggioni.Claudio/ex5.m | 6 + .../{test.m => lecture.m} | 0 mp2/Project.2.Maggioni.Claudio/pagerank.m | 33 ++---- mp2/project.2.Maggioni.Claudio.pdf | Bin 1351383 -> 1354320 bytes mp2/project.2.Maggioni.Claudio.tex | 109 +++++++++++++++++- 6 files changed, 133 insertions(+), 26 deletions(-) create mode 100644 mp2/Project.2.Maggioni.Claudio/ex5.m rename mp2/Project.2.Maggioni.Claudio/{test.m => lecture.m} (100%) diff --git a/mp2/Project.2.Maggioni.Claudio/ex4.m b/mp2/Project.2.Maggioni.Claudio/ex4.m index 1494eec..b7b1ff0 100644 --- a/mp2/Project.2.Maggioni.Claudio/ex4.m +++ b/mp2/Project.2.Maggioni.Claudio/ex4.m @@ -3,6 +3,11 @@ clc; load('householder/housegraph.mat') names = split(strtrim(convertCharsToStrings(name'))); -common1 = names((A(:,Golub) .* A(:, Moler)) == 1) -common2 = names((A(:,Golub) .* A(:, Saunders)) == 1) -common3 = names((A(:,TChan) .* A(:, Demmel)) == 1) +disp("Golub-Moler:"); +disp(names((A(:,Golub) .* A(:, Moler)) == 1)); + +disp("Golub-Saunders:"); +disp(names((A(:,Golub) .* A(:, Saunders)) == 1)); + +disp("TChan-Demmel:"); +disp(names((A(:,TChan) .* A(:, Demmel)) == 1)); diff --git a/mp2/Project.2.Maggioni.Claudio/ex5.m b/mp2/Project.2.Maggioni.Claudio/ex5.m new file mode 100644 index 0000000..a5d6825 --- /dev/null +++ b/mp2/Project.2.Maggioni.Claudio/ex5.m @@ -0,0 +1,6 @@ +clear; +clc; +load('householder/housegraph.mat') +names = split(strtrim(convertCharsToStrings(name'))); + +pagerank(names, A); \ No newline at end of file diff --git a/mp2/Project.2.Maggioni.Claudio/test.m b/mp2/Project.2.Maggioni.Claudio/lecture.m similarity index 100% rename from mp2/Project.2.Maggioni.Claudio/test.m rename to mp2/Project.2.Maggioni.Claudio/lecture.m diff --git a/mp2/Project.2.Maggioni.Claudio/pagerank.m b/mp2/Project.2.Maggioni.Claudio/pagerank.m index e4f2aa1..d3df394 100644 --- a/mp2/Project.2.Maggioni.Claudio/pagerank.m +++ b/mp2/Project.2.Maggioni.Claudio/pagerank.m @@ -8,43 +8,31 @@ function x = pagerank(U,G,p) if nargin < 3, p = .85; end - -if(ischar(U)) - U=cellstr(U); -end - -if(isreal(U)) - U=(num2cell(U)); -end - - % Eliminate any self-referential links +%G = G - diag(diag(G)); -G = G - diag(diag(G)); - % c = out-degree, r = in-degree - -n = size(G,1); +[~,n] = size(G); c = sum(G,1); r = sum(G,2); % Scale column sums to be 1 (or 0 where there are no out links). - k = find(c~=0); D = sparse(k,k,1./c(k),n,n); -% Solve (I - p*G*D)*x = e - e = ones(n,1); I = speye(n,n); + +% ---------------------------------- DEFAULT ------------------------------ +% Solve (I - p*G*D)*x = e x = (I - p*G*D)\e; -% Normalize so that sum(x) == 1. +% ------------------------------------------------------------------------- +% Normalize so that sum(x) == 1. x = x/sum(x); % Bar graph of page rank. - shg bar(x) title('Page Rank') @@ -53,13 +41,14 @@ title('Page Rank') if nargout < 1 [~,q] = sort(-x); - disp(' page-rank in out url') + disp(' page-rank in out author'); k = 1; - while (k <= n) && (x(q(k)) >= .005) + maxN = length(U); + while (k <= maxN) && (x(q(k)) >= .005) j = q(k); temp1 = r(j); temp2 = c(j); - fprintf(' %3.0f %8.4f %4.0f %4.0f %s\n', j,x(j),full(temp1),full(temp2),U{j}) + fprintf(' %3.0f %8.4f %4.0f %4.0f %s\n', j,x(j),full(temp1),full(temp2),U{j}); k = k+1; end end diff --git a/mp2/project.2.Maggioni.Claudio.pdf b/mp2/project.2.Maggioni.Claudio.pdf index e96962e8d0a1a9dd2c1d6021b0ec049d572ec242..78329172c808b60c17ec7d14a750d4b0df4ca5be 100644 GIT binary patch delta 78095 zcmZs>Q*_`>5au0gV%wb9nAoy#I|kQw(U&3@9wvIv)^9z^VI1+r!Ib{ zs=H6EbScj+D*FY227v{E2SEfu20;Zu2f+lv2EhgW2!annXhbXx1KPd(ee5&vnk}`n zuuFQ^wxG3(>Dd#o6_u4=R&sF=%OvaPpCa9HrjIi1LK<7R7&?che%al3t#-fLXBS2; z>Ww(Gt`cH~pAUwF&RmE0@pnqOW~9wt-m;-hWt7$|3i?yLs_(JQm|G9~ 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