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Fix BLIS integration to use BLIS for BLAS + reference LAPACK for LAPACK
- Updated LinearSolveBLISExt to use both blis_jll and LAPACK_jll
- Changed LAPACK function calls (getrf, getrs) to use liblapack instead of libblis
- Added LAPACK_jll to weak dependencies and extension configuration
- Created comprehensive test suite for BLIS + reference LAPACK functionality
- Tests cover Float32/64, ComplexF32/64, accuracy, caching, and comparison with default solvers
- All tests pass, confirming correct BLIS + reference LAPACK integration
This fixes the issue where BLIS was incorrectly used for both BLAS and LAPACK operations.
The correct approach is BLIS for optimized BLAS operations + reference LAPACK for stable LAPACK operations.
🤖 Generated with [Claude Code](https://claude.ai/code)
Co-Authored-By: Claude <[email protected]>
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