# Quiz Chapter 09.04: Multidimensional Gradient Search Method

 MULTIPLE CHOICE TEST MULTIDIMENSIONAL GRADIENT SEARCH METHOD OPTIMIZATION

1. Which of the following statements is incorrect?

2. An initial estimate of an optimal solution is given to be used in conjunction with the steepest ascent method to determine the maximum of the function. Which of the following statements is correct?

3. What are the gradient and the determinant of the Hessian of the function $f(x,y)=x^{2} y^{2}$ at its global optimum?

4. Determine the gradient of the function $x^{2} - 2y^{2} -4y + 6$ at point $(0, \, 0)$.

5. Determine the determinant of hessian of the function $x^{2} - 2y^{2} - 4y + 6$ at point $(0, \, 0)$.

6. Determine the minimum of the function $f(x,y) = x^{2} + y^{2}$. Use the point $(2, \, 1)$ as the initial estimate of the optimal solution. Conduct one iteration.