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Coding the Jacobian efficiently in MATLAB

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Enrique
Enrique 2024-5-14
编辑： Matt J 2024-5-14
How the Jacobian of F(t,u)= Au - u/1+u be computed in MATLAB? A is a square matrix. How best to compute the Jacobian in Exponential Rosenbrock integrator?
function Jn = J(u)
Jn = -A-1./(1+u).^2;
end

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Matt J
Matt J 2024-5-14
编辑：Matt J 2024-5-14
minusA = -A;
J=@(u) JacobianEngine(u,minusA);
function Jn = JacobianEngine(u,Jn)
p=numel(u);
Jn(1:p+1:end)= Jn(1:p+1:end) + (-1./(1+u).^2);
end

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