This is a fantastically clear outline of this topic. Thank you!

> The terms “factorization” and “decomposition” are synonymous and it is a matter of convention which is used. Our list comprises three factorization and three decompositions.

I can't tell if this is a joke: right after saying that these two words mean the same thing in this context, they are then used to categorize the methods.

Edit: This is the kind of content that proves the "dead internet theory" is wrong.