help with Newton-Raphson method

[prime123]

Minimize the function:
f(x,y)= 100(y-x^2)^2 + (1-x)^2

Gradient needs to be lower than 0.001

The initial solution is (0,0)

I don’t understand anything (

 

[HallsofIvy]

Clearly you don't! For one thing, to minimize a function, there is no need for an "initial solution"! What course is this for? Are you doing a numerical approximation? That, depending on the numerical method, might require an "initial approximation". Further, to minimize a function the gradient must be 0 so your saying "Gradient needs to be lower than 0.001" makes me think you are asked to find a numerical approximation to within that error.

I strongly advise you to talk to your teacher about these problems.

 

[Deleted member 4993]

Minimize the function:
f(x,y)= 100(y-x^2)^2 + (1-x)^2

Gradient needs to be lower than 0.001

The initial solution is (0,0)

I don’t understand anything (

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem.

 

[Dr.Peterson]

Minimize the function:
f(x,y)= 100(y-x^2)^2 + (1-x)^2

Gradient needs to be lower than 0.001

The initial solution is (0,0)

I don’t understand anything (

Since you mention Newton-Raphson in your title (it's unwise to leave such an important piece of information out of your actual content, because it's easily missed), I suspect you are saying that you need to approximate the solution to the equations you get for the partial derivatives.

That implies that you were at least able to write those equations. Please show what you can do, even if you are not convinced it is a step in the right direction. If you understood nothing at all, we would have to start back at 1+1=2.