Reference for gradient descent with unit norm constraint

Question

I faced a non-convex optimization problem with unit norm constraint.

I can solve the problem using the gradient descent method and the projection of the gradient onto the tangent plane as in @joriki comment in Gradient Descent with constraints.

The results are very good. Therefore, I want a reference including this method to cite it in my work. Can anyone help?

Answer 1

You can cite a standard nonlinear programming textbook such as Nocedal and Wright, Bertsekas or Bazaraa, Sherali and Shetty. I think all of them have references to the projected gradient method. You should of course go over and make sure you're citing the right section.

ps: You might also want to search to see if someone has applied the projected gradient method to a similar non-convex problem and shown convergence. If so you'll want to cite that work as well.