BLAS

BLAS consists of three levels of routines:

level 1 routines involve scalar-vector and vector-vector operations, like computing an inner product,
level 2 routines cover vector-matrix operations, and
level 3 routines perform matrix-matrix operations.

Table 1.1. Level 1 BLAS

BLAS	Boost.Numeric_Bindings Equivalent
xROTG	`blas::create_rotation`
xROTMG	`blas::create_rotation`
xROT	`blas::apply_rotation`
xROTM	`blas::apply_rotation`
xSWAP	`blas::swap`
xSCAL	`blas::scale`
xCOPY	`blas::copy`
xAXPY	`blas::transform`
xDOT	`blas::dot`
xDOTU	`blas::dot`
xDOTC	`blas::dot`
xxDOT	`blas::dot`
xNRM2	`blas::norm_2`
xASUM	`blas::abs_sum`
IxAMAX	`blas::index_norm_inf`

Table 1.2. Level 2 BLAS

BLAS	Boost.Numeric_Bindings Equivalent
xGEMV	`blas::transform`
xGBMV	`blas::transform`
xHEMV	`blas::transform`
xHPMV	`blas::transform`
xSYMV	`blas::transform`
xSBMV	`blas::transform`
xTRMV	`blas::transform`
xTBMV	`blas::transform`
xTPMV	`blas::transform`
xTRSV	`blas::forward_solve`, `blas::back_solve`
xTBSV	`blas::forward_solve`, `blas::back_solve`
xTPSV	`blas::forward_solve`, `blas::back_solve`
xGER	`blas::rank_1_update`
xGERU	`blas::rank_1_update`
xGERC	`blas::rank_1_update`
xHER	`blas::rank_1_update`
xHPR	`blas::rank_1_update`
xHER2	`blas::rank_2_update`
xHPR2	`blas::rank_2_update`
xSYR	`blas::rank_1_update`
xSPR	`blas::rank_1_update`
xSYR	`blas::rank_2_update`
xSPR	`blas::rank_2_update`

Table 1.3. Level 3 BLAS

BLAS	Boost.Numeric_Bindings Equivalent
xGEMM	`blas::transform`
xSYMM	`blas::transform`
xHEMM	`blas::transform`
xSYRK	`blas::rank_k_update`
xHERK	`blas::rank_k_update`
xSYR2K	`blas::rank_2k_update`
xHER2K	`blas::rank_2k_update`
xTRMM	`blas::transform`
xTRSM	`blas::forward_solve`, `blas::back_solve`