I have a function \(\displaystyle f:R^5->R\) which is quadratic and in every local minimum the Hessian matrix is positive definite.
Hessian matrix is square, have second partial derivatives and positive definite means, there is really minimum not maximum or saddle point. What is the greatest and smallest possible number of local minimums of the function?
Hessian matrix is square, have second partial derivatives and positive definite means, there is really minimum not maximum or saddle point. What is the greatest and smallest possible number of local minimums of the function?