I cannot say if it was specifically named for the BB per sey, but it was named Ark Royal in honor of the other four vessels that had been named Ark ROyal, this being the fifth. If you go to this Invincible page on my World Wide Aircraft Carrier.com site:
INVINCIBLE CLASS
You can read more about the class in general. Here's the official Royal Navy site for the Ark ROyal:
HMS ARK ROYAL