Question: We will calculate local extreme points for the function Use the Steepest descent method on f with the start approximation (1, 1) to find the

We will calculate local extreme points for the function

We will calculate local extreme points for the function Use the Steepest

Use the Steepest descent method on f with the start approximation (1, 1) to find the maximum point that is close (1, 1).

How many steps k are performed before the distance between two successive iteration points is less than 0.5 * 10 ^ (- 4), if you use the same value sk = 0.04 in each step?

Answer: k =?

How many steps k is required if the Steepest descent method instead uses optimal step length in each step, ie. the s that minimizes descent method on f with the start approximation (1, 1) to find Use the same start approximation (1, 1) and interrupt when the distance between two successive iteration points is less than 0.5 * 10 ^ (- 4).

Answer: k =?

For the point calculated with optimal step length:

x1 = ?

x2 = ?

(Enter the answers for the point in short format.)

3 2 3 f = x1 +0.531 +3.1x102 +0.922 3 1.1 22 : f(xk sif (xk)? 3 2 3 f = x1 +0.531 +3.1x102 +0.922 3 1.1 22 : f(xk sif (xk)

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