I am given a 3 variable function: f(x,y,z)=cos(xy)+cos(yz)+cos(zx) How to do the Hessian matrix for a 3 variable function.

gladilkamwy 2022-08-14 Answered
I am given a 3 variable function:
f ( x , y , z ) = cos ( x y ) + cos ( y z ) + cos ( z x )
How to do the Hessian matrix for a 3 variable function.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Isabella Rocha
Answered 2022-08-15 Author has 10 answers
Notice that since cos ( w ) 1, hence f ( x , y , z ) 3.
Also note that f ( 0 , 0 , 0 ) = 3, hence ( 0 , 0 , 0 ) must be a global maximum.
No computation of hessian is needed.
Remark:
The hessian is the matrix [ f x x f x y f x z f y x f y y f y z f z x f z y f z z ]
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions