Riemannian newton methods for energy minimization problems of kohn–sham type

HIGHLIGHTS

• What: The special case p=1 is of interest, where the authors seek a single (minimizing) B R. Altmann Journal of Scientific Computing 101:6 function on the unit sphere in L 2, representing a unit mass constraint. The authors provide formulae for the Riemannian gradient and the Riemannian Hessian which are needed for the Newton iteration. In the following, the authors examine a useful connection of the Stiefel manifold and the Grassmann manifold. Based on the first-order optimality conditions with a symmetric Lagrange multiplier, the authors aim to solve the nonlinear system of equations ⎤ ⎡ ⎤ ⎡ JA . . .
  

   

  

  If you want to have access to all the content you need to log in!

  Thanks :)

  Username or Email

  Password

  Remember me

  Lost your password?

  If you don't have an account, you can create one here.