Is there a notion of “coherent” operations on Jacobian matrices? By this I mean, an operation on a Jacobian matrix A that yields a new matrix A' that is itself a Jacobian matrix of some (other) system of functions. You can ascertain whether A' is coherent by integrating its partials of one...
I can’t find the notation I need to look up what I need to know.
I have a mapping defined thus:
x = F (a, b, c)
y = G (a, b, c)
Where [a, b, c] is any point from some 3-space surface and [x, y] is in cartesian space. F, G are continuously differentiable (but may contain discontinuities, a...