Can Newton's method find minima with two n-dimensional vectors?

[EngWiPy]

Hi,

If we have a problem with two n-dimensional vectors, can we still apply Newton method to find the minimum point?

Regards

 

[Stephen Tashi]

It isn't clear what you mean by "the minimum point". Perhaps you should give a specific example.

 

[EngWiPy]

It isn't clear what you mean by "the minimum point". Perhaps you should give a specific example.

I am sorry if I was not clear. An example would be: what is maximum (or minimum of the minus) volume of a rectangle having lower and upper vectors L and U, respectively?

Regards