Coud anyone help me to solve the issue.

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I am having a matrix
A=[3.5204 3.7294 3.9112 4.0754 4.2294 4.3787;
0 0 0 0 0 0;
0 0 0 0 0 0;
0 0 0 0 0 0;
0.4337 0.4255 0.4162 0.4065 0.3967 0.3871]
i want to rearrange the matrix in such a way that the sum of (A,1) and sum of (A,2) should not be equal to zero.
Also the number of non zero values present in each row or column can be more than one.
  3 Comments
jaah navi
jaah navi on 2 Aug 2019
A=[3.5204 0 3.9112 0 0 0;
0 0 0 4.0754 0 0.3871;
0 3.7294 0 0 0.3967 0;
0.4337 0 0.4162 0 4.2294 4.3787;
0 0.4255 0 0.4065 0 0]
with respect to this output sum(A,1) and sum(A,2) contain non zero values.
madhan ravi
madhan ravi on 2 Aug 2019
madhan ravi:
A(~sum(A,2),:)=[];
A(:,~sum(A,1))=[]
jaah navi:
I want to have the output in the following manner
A=[3.5204 0 3.9112 0 0 0;
0 0 0 4.0754 0 0.3871;
0 3.7294 0 0 0.3967 0;
0.4337 0 0.4162 0 4.2294 4.3787;
0 0.4255 0 0.4065 0 0]
madhan ravi:
Mind explaining in which logic they are rearranged??

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Accepted Answer

Andrei Bobrov
Andrei Bobrov on 2 Aug 2019
Edited: Andrei Bobrov on 2 Aug 2019
One variant:
[m,n] = size(A);
[~,ii] = sort(rand(m-1,n));
B = A(2:end,:);
An = [A(1,:);B(ii + (m-1)*(0:n-1))];% ATTENTION! If MATLAB < R2016b then use: An = [A(1,:);B(bsxfun(@plus,ii,(m-1)*(0:n-1)))];
jj = mod((1:m)' - (1:n),m) + 1; % for MATLAB < R2016b: jj = mod(bsxfun(@minus,(1:m)',1:n),m) + 1;
jj = jj(:,randperm(n));
out = An(sub2ind([m,n],jj,repmat(1:n,m,1)));
general case:
[m,n] = size(A);
[k,f] = max([m,n]);
p = numel(A);
V = A(randperm(p));
ii = find(V ~= 0, k, 'first');
W = [V(ii),V(setdiff(1:p,ii))];
M = reshape(W,k,[]);
if f == 1
t = n;
else
t = m;
end
MM = M(k*mod((1:t) - (1:k)',t) + (1:k)');% ATTENTION! If MATLAB < R2016b then use: MM = M(k*mod(bsxfun(@minus,1:t,(1:k)'),t) + (1:k)');
out = MM(randperm(k),:);
if f == 2
out = out';
end
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