Why the positional $ operator cannot be used for queries which traverse more than one array?

A possible solution is to pass to the update method an array of quey to solve $ operator.

db.collection.update(

{ <array>: value ... }

, { <update operator>:

{ "<array>.$....$" : value }

},{ query_array:

{ query1,query2,...}

} )
Each item in array query solve in order the $ operator