You can always do something like this:
update mytable t
set SomeColumn = c.ComputedValue
from (select *, 42 as ComputedValue from mytable where id = 1) c
where t.id = c.id
You can now also use with statement inside update
update mytable t
set SomeColumn = c.ComputedValue
from (with abc as (select *, 43 as ComputedValue_new from mytable where id = 1
select *, 42 as ComputedValue, abc.ComputedValue_new from mytable n1
inner join abc on n1.id=abc.id) c
where t.id = c.id