Consider the function f(x,y)=5x^2+5y^2−xy−11x+11y+11. Consider applying Newton's Method for minimizing f. How many iterations are needed to reach the global minimum point?

zapri4j

zapri4j

Answered question

2022-09-23

Consider the function f ( x , y ) = 5 x 2 + 5 y 2 x y 11 x + 11 y + 11. Consider applying Newton's Method for minimizing f. How many iterations are needed to reach the global minimum point?

Answer & Explanation

Jonah Cooke

Jonah Cooke

Beginner2022-09-24Added 7 answers

If you can state the idea behind Newton's method or explain what it calculates, then the answer to the quoted question follows almost immediately.
The idea behind Newton's method for optimizing a function is, at each iteration, to approximate the function with a quadratic, and then solve for the minimum of the quadratic. So when the function you're trying to optimize is already quadratic.

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