Question

State whether the following statements are true or false for the gradient based algorithms

I - Efficient for many variables
II - well suited for smooth objective and constraint functions

Answer 1

The second option is the correct answer.

Step-by-step explanation:

• 'Well suited for smooth objective and constraint functions' it goes best with the gradient-based algorithm.

• We use a gradient-based algorithm to solve unconstrained optimization problems.

• Minimizer of said function can be achieved by the iteration of a gradient-based algorithm.

• Iteration number k = 0 and a starting point, xk.

• It is a formula that we can use f(xk + αkpk) < f(xk).

Answer 2

Answer:

The second option is the correct answer.

'Well suited for smooth objective and constraint functions' it goes best with the gradient-based algorithm.

We use a gradient-based algorithm to solve unconstrained optimization problems.

Minimizer of said function can be achieved by the iteration of a gradient-based algorithm.

Iteration number k = 0 and a starting point, xk.

It is a formula that we can use f(xk + αkpk) < f(xk).