We need to prove that when we apply the Newton-Raphson method to strictly quadratic concave...

Holetaug

Holetaug

Answered

2022-07-02

We need to prove that when we apply the Newton-Raphson method to strictly quadratic concave function. It will converge in one step.

How to apply this method to maximization of
f ( x ) = 4 x 1 + 6 x 2 2 x 1 2 2 x 1 x 2 2 x 2 2
I did not understand how to apply method to this function? what should be the interval?

Answer & Explanation

Freddy Doyle

Freddy Doyle

Expert

2022-07-03Added 20 answers

You don't need an interval. You are using Newton-Raphson to find a solution of the system
f x 1 = 4 4 x 1 2 x 2 = 0 f x 2 = 6 2 x 1 4 x 2 = 0
This being a linear system, it doesn't matter where your initial point is: Newton-Raphson simply solves the linear system.

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