- #1
Bacle
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Critical points of maps f:R^n-->R^m , m>1
Hi, Everyone:
I am having trouble figuring out what the critical points would be for any such map
f:R^n -->R^m , m>1.
Problem is that I know sufficient conditions for differentiability (partials exist and
are continuous.) but not necessary ones. So our differential is given by an
mxn matrix. In the case of n=m, we just want the Jacobian matrix to be invertible,
but I am not clear on how to deal with this issue when n=/m.
Any Hints, Please.?
Thanks.
Hi, Everyone:
I am having trouble figuring out what the critical points would be for any such map
f:R^n -->R^m , m>1.
Problem is that I know sufficient conditions for differentiability (partials exist and
are continuous.) but not necessary ones. So our differential is given by an
mxn matrix. In the case of n=m, we just want the Jacobian matrix to be invertible,
but I am not clear on how to deal with this issue when n=/m.
Any Hints, Please.?
Thanks.