How can I generate a matrix as in the picture?

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xiyou fu
xiyou fu 2016-11-11
编辑： Andrei Bobrov 2016-11-11
A is the matrix and n is an arbitrary number that larger than 3,thank you very much!

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Andrei Bobrov
Andrei Bobrov 2016-11-11
编辑：Andrei Bobrov 2016-11-11
n = 6; % Let n = 6
z = [-1 3 -3 1];
m = numel(z);
k = n-m+1;
A = full(spdiags(ones(k,1)*z,0:m-1,k,n));
other way with Communications System Toolbox:
n = 6; % Let n = 6
z = [-1 3 -3 1];
A = convmtx(z,n-numel(z)+1);

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Walter Roberson
Walter Roberson 2016-11-11
You can add together diag() calls
[diag(-1 * ones(1, n-3)), zeros(n-3,3)] + ...
[zeros(n-3, 1), diag(3 * ones(1, n-3)), zeros(n-3,2)] + ...
[zeros(n-3, 2), diag(-3 * ones(1, n-3)), zeros(n-3,1)] + ...
[zeros(n-3, 3), diag(1 * ones(1, n-3))]

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