All the referred documents are applicable to upgrade in your case without any change even though if service pack is involved.
You can add functionality while upgrading from one edition of SQL Server 2000 to another, and have the option to add components during this upgrade. For example, if you upgrade from the SQL Server 2000 Personal Edition to the SQL Server 2000 Standard Edition, you can install additional components during the upgrade process.
Refer thru this MSDN link
to upgrade the components.