I had the same problem. On the "My Computers" page, select the "Detail View" icon. In the detailed view, select "Properties" for the computer you wish to delete. At the bottom of the properties page, there is a button to delete that computer from your list.
Thanks to those who posted. I had tried that, but it seemed greyed out. I was clicking on the gear icon, not the word! I'm finding this alot now days. Why is it that they cannot add the icon to the link?
I know this seems like a liitle detail, but it is those minor details that can define an interface. I'm not complaining. Its frustrating that I can't seem to 'get it'.