If the hessian evaluated at a critical point is positive (negative) definite, then we can conclude that it's a local minimum (maximum) there. If the hessian is indefinite (both negative and positive eigenvalues), then it's a saddle point.What happens if the Hessian is positive SEMI-definite?

Question

If the hessian evaluated at a critical point is positive (negative) definite, then we can conclude that it&#039;s a local minimum (maximum) there. If the hessian is indefinite (both negative and positive eigenvalues), then it&#039;s a saddle point.What happens if the Hessian is positive SEMI-definite?

Kelsie Marks · Accepted Answer

If the hessian evaluated at a critical point is positive (negative) definite, then we can conclude that it&#039;s a local minimum (maximum) there. If the hessian is indefinite (both negative and positive eigenvalues), then it&#039;s a saddle point.What happens if the Hessian is positive SEMI-definite?

If the hessian evaluated at a critical point is positive (negative) definite, then we can conclude that it's a local minimum (maximum) there. If the hessian is indefinite (both negative and positive eigenvalues), then it's a saddle point. What happens if the Hessian is positive SEMI-definite?

Open question

Answer & Explanation

New Questions in Differential Calculus