Separate Algorithm and Driver - part III (Schur-Eig)

[lkdvos]

Follow-up on #178 and #189, addressing #176.

Same treatment for eig, eigh and schur functions.

[github-actions]

After the build completes, the updated documentation will be available here

[leburgel]

The lists of available algorithms in the user interface page should also be updated, they still point to the LAPACK-specific algorithms through

Filter = t -> t isa Type && t <: MatrixAlgebraKit.LAPACK_EighAlgorithm

which should become <: MatrixAlgebraKit.EighAlgorithms.

[lkdvos]

GPU failures are again the memory issues. Should be good to go!

[codecov]

Codecov Report

❌ Patch coverage is 85.45455% with 16 lines in your changes missing coverage. Please review.

Files with missing lines	Patch %	Lines
src/interface/orthnull.jl	0.00%	6 Missing ⚠️
src/implementations/eig.jl	82.60%	4 Missing ⚠️
src/implementations/schur.jl	80.95%	4 Missing ⚠️
...ixAlgebraKitAMDGPUExt/MatrixAlgebraKitAMDGPUExt.jl	80.00%	1 Missing ⚠️
src/implementations/eigh.jl	95.65%	1 Missing ⚠️

Files with missing lines	Coverage Δ
...MatrixAlgebraKitCUDAExt/MatrixAlgebraKitCUDAExt.jl	73.68% <100.00%> (-0.46%)	⬇️
ext/MatrixAlgebraKitGenericLinearAlgebraExt.jl	85.29% <100.00%> (+0.44%)	⬆️
ext/MatrixAlgebraKitGenericSchurExt.jl	100.00% <100.00%> (ø)
src/MatrixAlgebraKit.jl	100.00% <ø> (ø)
src/algorithms.jl	85.71% <100.00%> (+0.09%)	⬆️
src/implementations/svd.jl	94.41% <ø> (+0.30%)	⬆️
src/interface/decompositions.jl	76.19% <ø> (ø)
src/interface/eig.jl	72.22% <100.00%> (ø)
src/interface/eigh.jl	68.42% <100.00%> (ø)
...ixAlgebraKitAMDGPUExt/MatrixAlgebraKitAMDGPUExt.jl	68.51% <80.00%> (-0.58%)	⬇️
... and 4 more

... and 1 file with indirect coverage changes

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