[michel2323]

LinearAlgebra.LAPACK.potrf!, getrf! and sytrf! on oneArrays returned A / (A, ipiv) instead of the stdlib shapes (A, info) / (A, ipiv, info). cholesky! and lu! destructure those shapes, so the following failed with a scalar-indexing error:

cholesky(Hermitian(oneArray(S)))
lu(oneArray(A))

getrf! also lacked the stdlib's check keyword, which lu! passes.

The support-library shims already return oneMKL's computation_error info, or -1 for a caught SYCL exception. The wrappers now keep it:

• Internal _potrf!, _getrf! and _sytrf! return the info.
• A SYCL failure (-1) throws instead of being ignored.
• The LinearAlgebra.LAPACK overloads call the internal functions and return the stdlib shapes.
• oneMKL.potrf!, getrf! and sytrf! keep their current return values, so this is not breaking.
• The scratchpads are freed after the call.

Tests. The new tests in test/onemkl.jl check LAPACK info, cholesky and lu on oneArrays, and failing pivots against host LAPACK.

oneMKL bug. oneMKL 2026.1 on the Intel Data Center GPU Max reports the failing column of potrf relative to its 32-column panel. For example, column 50 comes back as 18 for real types and as 1042 for complex types. Columns 1 to 32 are correct. The shim forwards computation_error::info() unchanged, so the wrong value comes from oneMKL. The tests mark these cases @test_broken and check that the factor's diagonal still marks the true column, as LAPACK's potf2 does.

Tested on a Data Center GPU Max 1100 with oneAPI_Support_jll 0.11.0: the onemkl tests give 2,747 pass and 60 broken, including the 12 new broken cases.

[michel2323]

The @test_broken cases track #755.

[codecov]

Codecov Report

❌ Patch coverage is 58.62069% with 12 lines in your changes missing coverage. Please review.
✅ Project coverage is 86.61%. Comparing base (2ec42dc) to head (240b7fc).
⚠️ Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
lib/mkl/wrappers_lapack.jl	58.62%	12 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #754      +/-   ##
==========================================
- Coverage   86.79%   86.61%   -0.19%     
==========================================
  Files          55       55              
  Lines        5068     5022      -46     
==========================================
- Hits         4399     4350      -49     
- Misses        669      672       +3     

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