Let be a function and let be a subspace of . Suppose minimizes on . Show .
My only idea is to take any and try to show something with the function , but I haven't been able to get anywhere with that. Any help is greatly appreciated!
Let be a function and let be a subspace of . Suppose minimizes on . Show .
My only idea is to take any and try to show something with the function , but I haven't been able to get anywhere with that. Any help is greatly appreciated!
Suppose the gradient did not belong to the orthogonal complement of .
Then the gradient at has a component in , so moving form to
changes the value of the function to: