How to assign elements in matrix after satisfying certain constraint?

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SYED ABOU ILTAF HUSSAIN
评论： dpb 2018-9-7
How to create a m*n matrix such that the sum of the first (m-1) elements must be less than or equal to the mth element and also the sum of the first (n-1) elements must be less than or equal to the nth element?
For example:
A = [a11, a12, a13, a14; a21, a22, a23, a24; a31, a32, a33, a34]
such that:
a11+a12+a13<=a14
a21+a22+a23<=a24
a31+a32+a33<=a34
a11+a21<=a31
a12+a22<=a32
a13+a23<=a33
a14+a24<=a34
Code for creating matrix A.
  4 个评论
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Walter Roberson
Walter Roberson 2018-9-7
I would read the constraints as
all( all( cumsum(A(:,1:end-1),2) <= A(:,2:end), 2 ), 1 )
all( all( cumsum(A(1:end-1,:),1) <= A(2:end, :), 1), 2 )
dpb
dpb 2018-9-7
May be, but the internal constraint wasn't what was written...maybe showing alternative interpretations gives OP some of the feedback needed...

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SYED ABOU ILTAF HUSSAIN
Thank you everyone for your help

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