How expand a matrix?
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How we can expand matrix A to B? each element of matrix A is equal to sum of each B columns. (step of 3)
A=
[1 5 8 12 7 5 2 1]
to B=
1 3 3 3 3 3 2 1
0 2 3 3 3 2 0 0
0 0 2 3 1 0 0 0
0 0 0 3 0 0 0 0
0 0 0 0 0 0 0 0
4 个评论
jgg
2016-1-22
Aren't there a very large number of ways to do this? Is there some specific form you want?
Star Strider
2016-1-23
It seems that it’s constrained to use only {1, 2, 3}. That may be what ‘step of 3’ refers to.
Mori
2016-1-23
Mori
2016-1-23
采纳的回答
This should work
A = [1 5 8 12 7 5 2 1];
floors = floor(A./3);
C = cumsum(3.*ones(max(floors)+1,length(A)),1)
A_p = repmat(A,max(floors)+1,1);
res = 3.*(C <= A_p);
remainder = A - sum(res);
r = cellfun(@(row) find(row == 0, 1, 'first'), num2cell(res,1));
ind = sub2ind(size(res),r,[1:length(A)]);
res(ind) = remainder;
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