How to change mysql password under Centos

# vim /etc/my.cnf

[mysqld]
datadir=/var/lib/mysql
socket=/var/lib/mysql/mysql.sock

# service mysqld restart
Stopping MySQL: [ OK ]
Starting MySQL: [ OK ]

mysql> USE mysql;
Database changed
mysql> UPDATE user SET Password = password ('new password') WHERE User = 'root';
Query OK, 0 rows affected (0.00 sec)
Rows matched: 2 Changed: 0 Warnings: 0
mysql> flush privileges;
Query OK, 0 rows affected (0.01 sec)
mysql> quit

# vim /etc/my.cnf

# service mysqld restart
Stopping MySQL: [ OK ]
Starting MySQL: [ OK ]