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

MATLAB.............................MATH.........................................MATLAB

We will calculate local extreme points for the function  MATLAB.............................MATH.........................................MATLAB We will calculate local extreme points for the function Use

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 f (xk sf (xk)? 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- +3.1x122 +0.9x2 - 1.122 - 3 2 3 f=x1 +0.531- +3.1x122 +0.9x2 - 1.122

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