How to perform update operations on columns of type JSONB in Postgres 9.4

Looking through the documentation for the Postgres 9.4 datatype JSONB, it is not immediately obvious to me how to do updates on JSONB columns.

Documentation for JSONB types and functions:

http://www.postgresql.org/docs/9.4/static/functions-json.html
http://www.postgresql.org/docs/9.4/static/datatype-json.html

As an examples, I have this basic table structure:

CREATE TABLE test(id serial, data jsonb);

Inserting is easy, as in:

INSERT INTO test(data) values ('{"name": "my-name", "tags": ["tag1", "tag2"]}');

Now, how would I update the ‘data’ column? This is invalid syntax:

UPDATE test SET data->'name' = 'my-other-name' WHERE id = 1;

Is this documented somewhere obvious that I missed? Thanks.