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mhoemmen added 30 commits August 7, 2024 16:53
Add Ilya Burylov as coauthor
* Reorganize and expand nonwording sections

* Add "`C` may alias `E`" to all the new updating overloads
  of the symmetric and Hermitian rank-k and rank-2k functions
* Specify that the functions access the new `E` parameter
  in the same way as the `C` parameter
Add nonwording section explaining why we don't change
`triangular_matrix_product`.
* Add nonwording section explaining why we change rank-1 and rank-2
  updates to be consistent with rank-k and rank-2k updates.

* Revise other nonwording sections accordingly.

* Update title and abstract accordingly.
Finish all wording but the rank-2 updates.
Revise existing wording.
Add new nonwording discussion of triangular solves (TRSM).
Finish rank-2 update wording.
Thanks to Ilya Burylov and Christian Trott for feedback and suggestions!
1. Remove _`possibly-packed-in-matrix`_, as it is unnecessarily
   restrictive

2. Fix table formatting

3. Improve nonwording sections more
* Add checklist in revision history

* Make sure existing nonwording text doesn't depend on the existence of
  overloads without a `Scalar alpha` parameter
For R3, add a nonwording section explaining why we remove
non-alpha overloads of the symmetric and Hermitian rank-1
and rank-k updates.
For the symmetric and Hermitian rank-1 and rank-k functions,
remove overloads that do not have a `Scalar alpha` parameter.

Add green and red formatting for the synopsis.
Constrain "linear algebra value type" to be neither `mdspan` nor an
execution policy (`is_execution_policy_v<Scalar>` is `false`).  This
will prevent ambiguous overloads, even if we retain overloads without
`Scalar alpha` or add them later.
- [x] Exposition-only concepts
- [x] matrix_rank_1_update
- [x] matrix_rank_1_update_c
- [x] symmetric_matrix_rank_1_update
- [x] hermitian_matrix_rank_1_update
- [x] symmetric_matrix_rank_2_update
- [x] hermitian_matrix_rank_2_update
* matrix_rank_1_update wording
* matrix_rank_2_update_c wording
Harmonise wording diff with proposed fix for LWG 4137 (atop which this
paper is rebased) and add Editorial Notes explaining where the rebase
affects this proposal's wording changes.
Also update nonwording section on related proposals and LWG issues.
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