What is Newton's Method?

[@Jkauppa]

newtons method is gradient descent

[@Jkauppa]

many randomized starts to solve most of the issues, ie, grid starting location search

[@Jkauppa]

if you have a higher value somewhere and lower somewhere, you are guaranteed to have the middle values between through some route (1d or 2d, or multi dimensional)

[@Jkauppa]

so you dont get stuck in the flat derivatives, you can use the point-to-point derivatives, roughly, to get a next useful point

[@Jkauppa]

the grid search with some binary search narrowing criteria, without knowing anything about gradients or derivatives

[@Jkauppa]

if you have gradient or derivative of zero, then you either have fully horizontal plane or line, or are guaranteed to have either lower or higher values left and right