Level 1 BLAS
dim scalar vector vector scalars 5-element prefixes
array
SUBROUTINE _ROTG ( A, B, C, S ) S, D
SUBROUTINE _ROTMG( D1, D2, A, B, PARAM ) S, D
SUBROUTINE _ROT ( N, X, INCX, Y, INCY, C, S ) S, D
SUBROUTINE _ROTM ( N, X, INCX, Y, INCY, PARAM ) S, D
SUBROUTINE _SWAP ( N, X, INCX, Y, INCY ) S, D, C, Z
SUBROUTINE _SCAL ( N, ALPHA, X, INCX ) S, D, C, Z, CS, ZD
SUBROUTINE _COPY ( N, X, INCX, Y, INCY ) S, D, C, Z
SUBROUTINE _AXPY ( N, ALPHA, X, INCX, Y, INCY ) S, D, C, Z
FUNCTION _DOT ( N, X, INCX, Y, INCY ) S, D, DS
FUNCTION _DOTU ( N, X, INCX, Y, INCY ) C, Z
FUNCTION _DOTC ( N, X, INCX, Y, INCY ) C, Z
FUNCTION __DOT ( N, ALPHA, X, INCX, Y, INCY ) SDS
FUNCTION _NRM2 ( N, X, INCX ) S, D, SC, DZ
FUNCTION _ASUM ( N, X, INCX ) S, D, SC, DZ
FUNCTION I_AMAX( N, X, INCX ) S, D, C, Z
Level 2 BLAS
options dim b-width scalar matrix vector scalar vector prefixes
_GEMV ( TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ) S, D, C, Z
_GBMV ( TRANS, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ) S, D, C, Z
_HEMV ( UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ) C, Z
_HBMV ( UPLO, N, K, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ) C, Z
_HPMV ( UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY ) C, Z
_SYMV ( UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ) S, D
_SBMV ( UPLO, N, K, ALPHA, A, LDA, X, INCX, BETA, Y, INCY ) S, D
_SPMV ( UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY ) S, D
_TRMV ( UPLO, TRANS, DIAG, N, A, LDA, X, INCX ) S, D, C, Z
_TBMV ( UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX ) S, D, C, Z
_TPMV ( UPLO, TRANS, DIAG, N, AP, X, INCX ) S, D, C, Z
_TRSV ( UPLO, TRANS, DIAG, N, A, LDA, X, INCX ) S, D, C, Z
_TBSV ( UPLO, TRANS, DIAG, N, K, A, LDA, X, INCX ) S, D, C, Z
_TPSV ( UPLO, TRANS, DIAG, N, AP, X, INCX ) S, D, C, Z
options dim scalar vector vector matrix prefixes
_GER ( M, N, ALPHA, X, INCX, Y, INCY, A, LDA ) S, D
_GERU ( M, N, ALPHA, X, INCX, Y, INCY, A, LDA ) C, Z
_GERC ( M, N, ALPHA, X, INCX, Y, INCY, A, LDA ) C, Z
_HER ( UPLO, N, ALPHA, X, INCX, A, LDA ) C, Z
_HPR ( UPLO, N, ALPHA, X, INCX, AP ) C, Z
_HER2 ( UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA ) C, Z
_HPR2 ( UPLO, N, ALPHA, X, INCX, Y, INCY, AP ) C, Z
_SYR ( UPLO, N, ALPHA, X, INCX, A, LDA ) S, D
_SPR ( UPLO, N, ALPHA, X, INCX, AP ) S, D
_SYR2 ( UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA ) S, D
_SPR2 ( UPLO, N, ALPHA, X, INCX, Y, INCY, AP ) S, D
Level 3 BLAS
options dim scalar matrix matrix scalar matrix prefixes _GEMM ( TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC ) S, D, C, Z _SYMM ( SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC ) S, D, C, Z _HEMM ( SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC ) C, Z _SYRK ( UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC ) S, D, C, Z _HERK ( UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC ) C, Z _SYR2K( UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC ) S, D, C, Z _HER2K( UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC ) C, Z _TRMM ( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB ) S, D, C, Z _TRSM ( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, B, LDB ) S, D, C, Z
Notes
Meaning of prefixes
S - REAL C - COMPLEX
D - DOUBLE PRECISION Z - COMPLEX*16 (this may not be
supported by all
machines)
For the Level 2 BLAS a set of extended-precision routines with the prefixes ES, ED, EC, EZ may also be available.
Level 1 BLAS
In addition to the listed routines there are two further extended-precision dot product routines DQDOTI and DQDOTA.
Level 2 and Level 3 BLAS
Matrix types
GE - GEneral GB - General Band SY - SYmmetric SB - Symmetric Band SP - Symmetric Packed HE - HErmitian HB - Hermitian Band HP - Hermitian Packed TR - TRiangular TB - Triangular Band TP - Triangular Packed
Options
Arguments describing options are declared as CHARACTER*1 and may be passed as character strings.
TRANS = 'No transpose', 'Transpose', 'Conjugate transpose' (X, X^T, X^C) UPLO = 'Upper triangular', 'Lower triangular' DIAG = 'Non-unit triangular', 'Unit triangular' SIDE = 'Left', 'Right' (A or op(A) on the left, or A or op(A) on the right)
For real matrices, TRANS = `T' and TRANS = `C' have the same meaning.
For Hermitian matrices, TRANS = `T' is not allowed.
For complex symmetric matrices, TRANS = `H' is not allowed.