Operator matrix for matrix differentiation

Is there a way to define an operator matrix, such that:

[Jan]

Please define the inputs and outputs explicitly. Do you want numerical or symbolical operations?

Answer 1

[Andrei Bobrov]

symbolic

function dNdv = diffmtx(v,N)
    % v -vector m x 1 - sym array
    % N - matrix m x n - sym array
    rz = arrayfun(@(ii)diff(N(ii,:),v(ii)),(1:numel(v)).','un',0);
    dNdv = cat(1,rz{:});
end

[Jan]

What about: dNdv = [diff(N(1, :), v(1)), diff(N(2, :), v(1)); diff(N(3, :), v(2)), diff(N(4, :), v(2))] ?

Answer 2

[Lam Nguyen Van]

Thanks.