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hheei 71f2260186 lapack/laed3: guard sqrt(-w[i]) against spuriously positive w[i] 
When eigenvalues are nearly degenerate, numerical accumulation in
the divide-and-conquer merge can push w[i] slightly above zero.
The subsequent sqrt(-w[i]) then produces NaN, which propagates
through the entire eigenvector output of DSYEVD/DSTEDC.

Use fmax(-w[i], 0.0) to safely clamp the sqrt argument, yielding
zero instead of NaN for spuriously positive w[i].  The fmax call
maps to a single vmaxsd instruction on x86_64 with zero overhead.

Add test/test_laed3_nan.c which exercises DSYEVD on a rank-1
perturbed identity matrix designed to create near-degenerate
eigenvalue clusters.
 		2026-07-02 23:03:38 +08:00
..
CMakeLists.txt fix missing eol 2026-04-14 10:56:04 +02:00
LICENSE Import GotoBLAS2 1.13 BSD version codes. 2011-01-24 14:54:24 +00:00
Makefile Use FEXTRALIB in test Makefile 2026-05-04 17:13:04 +02:00
cblat1.f Update BLAS tests to correspond to Reference-LAPACK 3.9.0 2020-06-14 10:26:25 +02:00
cblat2.dat Import GotoBLAS2 1.13 BSD version codes. 2011-01-24 14:54:24 +00:00
cblat2.f Update BLAS tests to correspond to Reference-LAPACK 3.9.0 2020-06-14 10:26:25 +02:00
cblat3.dat Import GotoBLAS2 1.13 BSD version codes. 2011-01-24 14:54:24 +00:00
cblat3.f Update BLAS tests to correspond to Reference-LAPACK 3.9.0 2020-06-14 10:26:25 +02:00
cblat3_3m.dat disabled SYMM3M and HEMM3M functions because segment violations 2014-09-20 15:27:40 +02:00
cblat3_3m.f MAINT: Explicitly replace instead of unknown 2024-10-05 16:23:02 +00:00
compare_sgemm_bgemm.c Split failure count between comparison to SGEMM and naive loop 2026-03-18 21:46:48 +01:00
compare_sgemm_sbgemm.c Fix bf16->f32 conversion for NEOVERSEV1 and NEOVERSEN2 targets 2025-10-06 18:05:58 +00:00
compare_sgemm_shgemm.c Reduce expected accuracy compared to naive code and silence matrix element printout 2026-03-18 21:38:39 +01:00
compare_sgemv_bgemv.c Fix bf16->f32 conversion for NEOVERSEV1 and NEOVERSEN2 targets 2025-10-06 18:05:58 +00:00
compare_sgemv_sbgemv.c Fix bf16->f32 conversion for NEOVERSEV1 and NEOVERSEN2 targets 2025-10-06 18:05:58 +00:00
compare_sgemv_shgemv.c Add Infrastructure for SHGEMV 2025-10-07 15:03:24 +00:00
dblat1.f Misc. typo fixes 2019-04-29 17:03:56 -04:00
dblat2.dat Import GotoBLAS2 1.13 BSD version codes. 2011-01-24 14:54:24 +00:00
dblat2.f Update BLAS tests to correspond to Reference-LAPACK 3.9.0 2020-06-14 10:26:25 +02:00
dblat3.dat Import GotoBLAS2 1.13 BSD version codes. 2011-01-24 14:54:24 +00:00
dblat3.f Update BLAS tests to correspond to Reference-LAPACK 3.9.0 2020-06-14 10:26:25 +02:00
get_threading_model.c Remove all trailing whitespace except lapack-netlib 2014-06-27 12:05:18 -07:00
sblat1.f Misc. typo fixes 2019-04-29 17:03:56 -04:00
sblat2.dat Import GotoBLAS2 1.13 BSD version codes. 2011-01-24 14:54:24 +00:00
sblat2.f Update BLAS tests to correspond to Reference-LAPACK 3.9.0 2020-06-14 10:26:25 +02:00
sblat3.dat Import GotoBLAS2 1.13 BSD version codes. 2011-01-24 14:54:24 +00:00
sblat3.f Update BLAS tests to correspond to Reference-LAPACK 3.9.0 2020-06-14 10:26:25 +02:00
test_helpers.h Add infrastructure for bgemv/bscal 2025-07-15 14:48:57 +01:00
test_laed3_nan.c lapack/laed3: guard sqrt(-w[i]) against spuriously positive w[i] 2026-07-02 23:03:38 +08:00
zblat1.f Update BLAS tests to correspond to Reference-LAPACK 3.9.0 2020-06-14 10:26:25 +02:00
zblat2.dat Import GotoBLAS2 1.13 BSD version codes. 2011-01-24 14:54:24 +00:00
zblat2.f Update BLAS tests to correspond to Reference-LAPACK 3.9.0 2020-06-14 10:26:25 +02:00
zblat3.dat Import GotoBLAS2 1.13 BSD version codes. 2011-01-24 14:54:24 +00:00
zblat3.f Update BLAS tests to correspond to Reference-LAPACK 3.9.0 2020-06-14 10:26:25 +02:00
zblat3_3m.dat bugfix for GEMM3M functions 2014-09-21 11:41:43 +02:00
zblat3_3m.f MAINT: Explicitly replace instead of unknown 2024-10-05 16:23:02 +00:00