Redirect the user to somewhere other than the login page after they've requested a new password

I have had users say that when they are requesting a new password, they "just get sent back to the user login page" and feel they are going round in circles. It seems they don't always see the message displayed on this page saying "further details have been sent to your email address". In any case, it doesn't really make sense to send the user to the login form at this point because when they receive the email with the password reset link, they click that link and are logged in automatically, rendering the login form redundant at this point in the process. It would make more sense therefore after submitting the password reset form for the user to be redirected to the front page, with the same message displayed.