How to add a cumulative constant to all values on each row of a matrix, starting from the bottom row and ending at the top row?
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I have a matrix that is very large. A small example is:
1 2 3
1 2 3
1 2 3
I need to add a constant to each row, starting at the bottom row. The additon should be cumulative. For example, if the constant is 0.5, the matrix should become:
2.5 3.5 4.5
2.0 3.0 4.0
1.5 2.5 3.5
I know to use "cumsum" for cumulative addition in Matlab but the indexing required in this problem exceeds my skills. I would be vey grateful for any help.
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the cyclist
2024-4-13
There are many ways to do this. Here is one way:
% Inputs
in = [1 2 3;
1 2 3;
1 2 3];
constant = 0.5;
% Algorithm
[m,n] = size(in);
out = in + kron(constant*(m:-1:1)',ones(1,n));
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Voss
2024-4-13
c = 0.5;
A = [1,2,3;1,2,3;1,2,3]
One way:
N = size(A,1);
result = c*(N:-1:1).'+A
Another way:
N = size(A,1);
result = cumsum(c*ones(N,1),'reverse')+A
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Voss
2024-4-14
No problem. I was mostly just curious what you meant by "better". Thanks for clarifying you meant faster. Anyway, the time difference is not much.
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