How to create this matrix in MATLAB -

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i have vector such

a=[4;3;1;6]

and want create matrix elements below a

b=[6 5 4 3 2 1;4 3 2 1 0 0;3 2 1 0 0 0;1 0 0 0 0 0];

how can in matlab ? number of columns equal max of a.

here 2 ways this: 1 vectorized, , 1 in loop.

a=[4;3;1;6]; b = max(bsxfun(@minus, sort(a, 'descend'), 0:(max(a)-1)), 0);

or

s = sort(a, 'descend'); m = numel(a); n = s(1); c = zeros(m,n); k = 1:m    c(k,1:s(k)) = s(k):-1:1; end

results:

b =     6   5   4   3   2   1    4   3   2   1   0   0    3   2   1   0   0   0    1   0   0   0   0   0

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