Introduction of the orthographic retraction for the fixed rank manifold

[Klingbiel]

No description provided.

[codecov]

Codecov Report

Merging #662 (62dcf0e) into master (3536123) will increase coverage by 0.00%.
The diff coverage is 100.00%.

@@           Coverage Diff           @@
##           master     #662   +/-   ##
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  Coverage   99.40%   99.40%           
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  Files         108      108           
  Lines       10567    10593   +26     
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+ Hits        10504    10530   +26     
  Misses         63       63           

Files	Coverage Δ
ext/ManifoldsTestExt/tests_general.jl	95.72% <100.00%> (+0.04%)	⬆️
src/Manifolds.jl	86.66% <ø> (ø)
src/manifolds/FixedRankMatrices.jl	98.88% <100.00%> (+0.09%)	⬆️

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[mateuszbaran]

Thank you for contribution! I've left a few small comments.

[kellertuer]

Since we had some (breaking) changes in ManifoldsBase (concerning especially the data flow / allocation flow for retractions) and Manifolds (concerning statically parametrised manifolds) I just adapted this PR to those changes.

@Klingbiel could you check the comments above?

[kellertuer]

Everything seems to be resolved – I just did a final commit with

a) Updating (bump) the version number
b) adding an entry to our changelog (NEWS.md)

Great to see further people contributing to Manifolds.jl, danke Lukas!

As soon as tests pass here, I will merge this and register a new version.