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2022 Nov 09
1
det(diag(c(NaN, 1))) should be NaN, not 0
...ue
*> > 0: if INFO = i, U(i,i) is exactly zero. The factorization
*> has been completed, but the factor U is exactly
*> singular, and division by zero will occur if it is used
*> to solve a system of equations.
Accordingly, when INF0>0, determinant(A) behaves as det(A)=0, _not_ computing
prod(diag(U)). The problem here is that DGETRF can _also_ give positive
INFO for matrices containing NaN, which may very well not be singular for some
finite value of NaN.
I claim that, when INFO>0, determinant(A) should _not_ behave as...