How to write a diagonal rectangular matrix
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I have to insert on matlab this matrix:
n = 100;
A = diag(21*ones(n,1)) + diag(-4*ones(n-1,1),-1)...
+ diag(-20*ones(n-1,1),1) + diag(ones(n-2,1),-2)...
+ diag(2*ones(n-2,1), 2);
I can generate it when it is squared, but now the exercise tells me to use the same numbers in a rectangular matrix having dimensions 100x98: how do I create the new matrix?
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Accepted Answer
Chunru
on 23 Nov 2023
Edited: Chunru
on 23 Nov 2023
You can use toeplitz function.
% Smaller n, m here
n = 10;
m = 8;
A = diag(21*ones(n,1)) + diag(-4*ones(n-1,1),-1)...
+ diag(-20*ones(n-1,1),1) + diag(ones(n-2,1),-2)...
+ diag(2*ones(n-2,1), 2);
whos
A
c = zeros(n, 1); c(1:3)=[21 -4 1]; % 1st column
r = zeros(m, 1); r(1:3)=[21 -20 2]; % 1st row
B = toeplitz(c, r)
3 Comments
Dyuman Joshi
on 23 Nov 2023
% Smaller n, m here
n = 10;
m = 8;
A = diag(21*ones(n,1)) + diag(-4*ones(n-1,1),-1)...
+ diag(-20*ones(n-1,1),1) + diag(ones(n-2,1),-2)...
+ diag(2*ones(n-2,1), 2)
%Remove the last n-m columns
A(:,end-(1:n-m)) = []
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