consistent, descriptive terminology for orthogonal factorizations

[Sacha0]

Breadcrumb to JuliaLang/julia#23813 (comment): We should consider selecting broadly descriptive terminology for orthogonal factorizations (for example the adjective "truncated" rather than "thin" to describe the relevant type of QR/LQ/RQ/QL factorization), and then use that terminology consistently across all orthogonal factorizations (documentation, comments, function names and arguments, etc). Best!

[andreasnoack]

Thanks. This is breaking so I've added it to the milestone. Good news is that it is easy to fix.

[Sacha0]

Re. the milestone, this issue could be addressed after 1.0 if LinAlg moves out of base as anticipated? Best!

[andreasnoack]

I'd be fine with either truncated or to "invert" the keyword such that you can ask for square.

[Sacha0]

(The decision in triage was to leave this issue on the milestone under the assumption that the rename etc should require little time.)

[Sacha0]

While preparing a pull request addressing this issue I realized that "truncated" has failings, particularly that "truncated [QR|RQ|LQ|QL]" can mean either "thin"/"reduced" or "truncated" in the SVD sense (which also exists for QR/RQ/LQ/QL). "reduced" isn't particularly descriptive. So @andreasnoack's suggestion of "inverting" the keyword to "square" now strikes me as wisest. Best!

[Sacha0]

Closed by JuliaLang/julia#24279. Thanks all! :)