Final answer:
Convergence is the term used when all routers in an autonomous system have been updated with the latest routing information and agree on the network topology.
Step-by-step explanation:
When routing protocol updates occur and all the routers in the autonomous system have been updated, it is called convergence. Convergence is the process by which nodes (routers or switches) within an autonomous system or networking area agree on a consistent view of the network topology. This happens after they have all received updates about changes, such as new links or modified paths, and have algorithmically determined the best paths for traffic based on that information. Achieving convergence is important for the network to operate efficiently and effectively, as it ensures routers have the most up-to-date information and can route packets through optimal paths.