Changing password by user

[Tauren Mills]

How does any common user that has a mysql database on a shared database
server change their password?

The common user "someuser" (which exists and has a database of thier own) on
my server cannot get into the mysql table using this command:

#mysql -usomeuser -p mysql
Enter password:
ERROR 1044: Access denied for user: 'someuser@localhost' to database 'mysql'

Is there some command they can execute that will change their database
password?

Thanks,
Tauren