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My Complex Matrix SVD is Correct according to rule A = USV' but Wrong according to Matlab or any linear algebra library

I ran your code in MATLAB to reproduce your $U$,$S$,$V$. You stated "A = USV' is confirmed*", but that is not true. What is true is "...
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My Complex Matrix SVD is Correct according to rule A = USV' but Wrong according to Matlab or any linear algebra library

This should not be possible. $U$ and $V$ may be non-unique in the case where there are repeated singular values, but $s$ must be unique, since it is the sorted list of eigenvalues of $A^*A$ and ...
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Solving PDE with a non-linear constraint in MATLAB

Yes, it is possible to enforce this constraint by properly constructing the mass matrix, RHS, and Jacobian. First, I will assume the index of the DAE is 1 and you have used the method of lines to ...
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