SLATE Coverage
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Basic Linear Algebra                |  status
------------------------------------|-------------------------------------------
Level 1 BLAS                        |  no
Level 2 BLAS                        |  use Level 3
Level 3 BLAS                        |  yes
optimizations for Level 2-2.5       |  gemm, hemm, trsm when A >> C
Level 2-like routines               |  add, scale, scale_row_col, set
Matrix norms  ️                      |  yes
————————————                        |  ————————————
**Linear systems (Ax = b)**         |  **status**
LU, partial pivoting (PP)           |  yes
LU, communication avoiding (CA)     |  in progress (2022)
LU, band (PP)                       |  yes
LU, non-pivoting                    |  yes
Cholesky                            |  yes
Cholesky, band                      |  yes
Symmetric indefinite (block Aasen)  |  prototype, CPU only
Mixed precision (single-double)     |  yes (LU, Cholesky)
Inverses                            |  yes (LU, Cholesky)
Condition estimate                  |  no
————————————                        |  ————————————
**Least squares (Ax ≈ b)**          |  **status**
QR                                  |  yes
optimizations for tall-skinny       |  yes
Cholesky QR                         |  yes
LQ                                  |  yes
Least squares solver                |  yes
————————————                        |  ————————————
**SVD and eigenvalues**             |  **status**
Singular value decomposition (SVD)  |  yes, values only
Hermitian eigenvalues               |  yes, values only
vectors                             |  in progress (2022)
Generalized Hermitian eigenvalues   |  yes, values only
Polar decomposition (QDWH)          |  in progress
Non-symmetric eigenvalues           |  no current plan
————————————                        |  ————————————
**Platforms**                       |  **status**
MPI                                 |  yes (≥ 2.0)
GPU-aware MPI                       |  yes, experimental
OpenMP                              |  yes (≥ 4.5)
CUDA for NVIDIA GPUs                |  yes
HIP for AMD GPUs                    |  yes
OpenMP offload for Intel GPUs       |  in progress (2022)
————————————                        |  ————————————
**Compilers**                       |  **status**
GNU g++ compiler                    |  yes (≥ 7.3 tested; 6.4 fails)
Clang compiler                      |  yes (≥ 9.0 tested)
Intel icpc compiler                 |  yes
IBM xlc compiler                    |  no (C++17 not supported)
Cray compiler                       |  yes (clang v14 tested)