Basic Linear Algebra Subprograms (BLAS) and C BLAS (CBLAS)

The following information lists the ESSL subprograms corresponding to a subprogram in the standard set of BLAS and CBLAS.

Level 1 BLAS

Table 1. Level 1 BLAS Included in ESSL
Descriptive Name	Short-Precision Subprogram	Long-Precision Subprogram
ISAMAX, IDAMAX, ICAMAX, and IZAMAX (Position of the First or Last Occurrence of the Vector Element Having the Largest Magnitude)	ISAMAX ICAMAX cblas_isamax cblas_idamax	IDAMAX IZAMAX cblas_icamax cblas_izamax
SASUM, DASUM, SCASUM, and DZASUM (Sum of the Magnitudes of the Elements in a Vector)	SASUM SCASUM cblas_sasum cblas_scasum	DASUM DZASUM cblas_dasum cblas_dcasum
SAXPY, DAXPY, CAXPY, and ZAXPY (Multiply a Vector X by a Scalar, Add to a Vector Y, and Store in the Vector Y)	SAXPY CAXPY cblas_saxpy cblas_caxpy	DAXPY ZAXPY cblas_daxpy cblas_zaxpy
SCOPY, DCOPY, CCOPY, and ZCOPY (Copy a Vector)	SCOPY CCOPY cblas_scopy cblas_ccopy	DCOPY ZCOPY cblas_dcopy cblas_zcopy
SDOT, DDOT, CDOTU, ZDOTU, CDOTC, and ZDOTC (Dot Product of Two Vectors)	SDOT CDOTU CDOTC cblas_sdot cblas_cdotu_sub cblas_cdotc_sub	DDOT ZDOTU ZDOTC cblas_ddot cblas_zdotu_sub cblas_zdotc_sub
SNRM2, DNRM2, SCNRM2, and DZNRM2 (Euclidean Length of a Vector with Scaling of Input to Avoid Destructive Underflow and Overflow)	SNRM2 SCNRM2 cblas_snrm2 cblas_scnrm2	DNRM2 DZNRM2 cblas_dnrm2 cblas_dznrm2
SROTG, DROTG, CROTG, and ZROTG (Construct a Givens Plane Rotation)	SROTG CROTG cblas_srotg cblas_crotg	DROTG ZROTG cblas_drotg cblas_zrotg
SROT, DROT, CROT, ZROT, CSROT, and ZDROT (Apply a Plane Rotation)	SROT CROT CSROT cblas_srot cblas_crot cblas_csrot	DROT ZROT ZDROT cblas_drot cblas_zrot cblas_zdrot
SROTMG and DROTMG (Construct a modified Givens Transformation)	SROTMG cblas_srotmg	DROTMG cblas_drotmg
SROTM and DROTM (Apply a modified Givens Transformation)	SROTM cblas_srotm	DROTM cblas_drotm
SSCAL, DSCAL, CSCAL, ZSCAL, CSSCAL, and ZDSCAL (Multiply a Vector X by a Scalar and Store in the Vector X)	SSCAL CSCAL CSSCAL cblas_sscal cblas_cscal cblas_csscal	DSCAL ZSCAL ZDSCAL cblas_dscal cblas_zscal cblas_zdscal
SSWAP, DSWAP, CSWAP, and ZSWAP (Interchange the Elements of Two Vectors)	SSWAP CSWAP cblas_sswap cblas_cswap	DSWAP ZSWAP cblas_dswap cblas_zswap

Level 2 BLAS

Table 2. Level 2 BLAS Included in ESSL
Descriptive Name	Short-Precision Subprogram	Long-Precision Subprogram
SGEMV, DGEMV, CGEMV, ZGEMV, SGEMX, DGEMX, SGEMTX, and DGEMTX (Matrix-Vector Product for a General Matrix, Its Transpose, or Its Conjugate Transpose)	SGEMV CGEMV cblas_sgemv cblas_cgemv	DGEMV ZGEMV cblas_dgemv cblas_zgemv
SGER, DGER, CGERU, ZGERU, CGERC, and ZGERC (Rank-One Update of a General Matrix)	SGER CGERU CGERC cblas_sger cblas_cgeru cblas_cgerc	DGER ZGERU ZGERC cblas_dger cblas_zgeru cblas_zgerc
SSPMV, DSPMV, CHPMV, ZHPMV, SSYMV, DSYMV, CHEMV, ZHEMV, SSLMX, and DSLMX (Matrix-Vector Product for a Real Symmetric or Complex Hermitian Matrix)	SSPMV CHPMV SSYMV CHEMV cblas_sspmv cblas_chpmv cblas_ssymv cblas_chemv	DSPMV ZHPMV DSYMV ZHEMV cblas_dspmv cblas_zhpmv cblas_dsymv cblas_zhemv
SSPR, DSPR, CHPR, ZHPR, SSYR, DSYR, CHER, ZHER, SSLR1, and DSLR1 (Rank-One Update of a Real Symmetric or Complex Hermitian Matrix)	SSPR CHPR SSYR CHER cblas_sspr cblas_chpr cblas_ssyr cblas_cher	DSPR ZHPR DSYR ZHER cblas_dspr cblas_zhpr cblas_dsyr cblas_zher
SSPR2, DSPR2, CHPR2, ZHPR2, SSYR2, DSYR2, CHER2, ZHER2, SSLR2, and DSLR2 (Rank-Two Update of a Real Symmetric or Complex Hermitian Matrix)	SSPR2 CHPR2 SSYR2 CHER2 cblas_sspr2 cblas_chpr2 cblas_ssyr2 cblas_cher2	DSPR2 ZHPR2 DSYR2 ZHER2 cblas_dspr2 cblas_zhpr2 cblas_dsyr2 cblas_zher2
SGBMV, DGBMV, CGBMV, and ZGBMV (Matrix-Vector Product for a General Band Matrix, Its Transpose, or Its Conjugate Transpose)	SGBMV CGBMV cblas_sgbmv cblas_cgbmv	DGBMV ZGBMV cblas_dgbmv cblas_zgbmv
SSBMV, DSBMV, CHBMV, and ZHBMV (Matrix-Vector Product for a Real Symmetric or Complex Hermitian Band Matrix)	SSBMV CHBMV cblas_ssbmv cblas_chbmv	DSBMV ZHBMV cblas_dsbmv cblas_zhbmv
STRMV, DTRMV, CTRMV, ZTRMV, STPMV, DTPMV, CTPMV, and ZTPMV (Matrix-Vector Product for a Triangular Matrix, Its Transpose, or Its Conjugate Transpose)	STPMV CTPMV STRMV CTRMV cblas_stpmv cblas_ctpmv cblas_strmv cblas_ctrmv	DTPMV ZTPMV DTRMV ZTRMV cblas_dtpmv cblas_ztpmv cblas_dtrmv cblas_ztrmv
STRSV, DTRSV, CTRSV, ZTRSV, STPSV, DTPSV, CTPSV, and ZTPSV (Solution of a Triangular System of Equations with a Single Right-Hand Side)	STPSV CTPSV STRSV CTRSV cblas_stpsv cblas_ctpsv cblas_strsv cblas_ctrsv	DTPSV ZTPSV DTRSV ZTRSV cblas_dtpsv cblas_ztpsv cblas_dtrsv cblas_ztrsv
STBMV, DTBMV, CTBMV, and ZTBMV (Matrix-Vector Product for a Triangular Band Matrix, Its Transpose, or Its Conjugate Transpose)	STBMV CTBMV cblas_stbmv cblas_ctbmv	DTBMV ZTBMV cblas_dtbmv cblas_ztbmv
STBSV, DTBSV, CTBSV, and ZTBSV (Triangular Band Equation Solve)	STBSV CTBSV cblas_stbsv cblas_ctbsv	DTBSV ZTBSV cblas_dtbsv cblas_ztbsv

Level 3 BLAS

Table 3. Level 3 BLAS Included in ESSL
Descriptive Name	Short-Precision Subprogram	Long-Precision Subprogram
SGEMM, DGEMM, CGEMM, and ZGEMM (Combined Matrix Multiplication and Addition for General Matrices, Their Transposes, or Conjugate Transposes)	SGEMM CGEMM cblas_sgemm cblas_cgemm	DGEMM ZGEMM cblas_dgemm cblas_zgemm
SSYMM, DSYMM, CSYMM, ZSYMM, CHEMM, and ZHEMM (Matrix-Matrix Product Where One Matrix is Real or Complex Symmetric or Complex Hermitian)	SSYMM CSYMM CHEMM cblas_ssymm cblas_csymm cblas_chemm	DSYMM ZSYMM ZHEMM cblas_dsymm cblas_zsymm cblas_zhemm
STRMM, DTRMM, CTRMM, and ZTRMM (Triangular Matrix-Matrix Product)	STRMM CTRMM cblas_strmm cblas_ctrmm	DTRMM ZTRMM cblas_dtrmm cblas_ztrmm
STRSM, DTRSM, CTRSM, and ZTRSM (Solution of Triangular Systems of Equations with Multiple Right-Hand Sides)	STRSM CTRSM cblas_strsm cblas_ctrsm	DTRSM ZTRSM cblas_dtrsm cblas_ztrsm
SSYRK, DSYRK, CSYRK, ZSYRK, CHERK, and ZHERK (Rank-K Update of a Real or Complex Symmetric or a Complex Hermitian Matrix)	SSYRK CSYRK CHERK cblas_ssyrk cblas_csyrk cblas_cherk	DSYRK ZSYRK ZHERK cblas_dsyrk cblas_zsyrk cblas_zherk
SSYR2K, DSYR2K, CSYR2K, ZSYR2K, CHER2K, and ZHER2K (Rank-2K Update of a Real or Complex Symmetric or a Complex Hermitian Matrix)	SSYR2K CSYR2K CHER2K cblas_ssyr2k cblas_csyr2k cblas_cher2k	DSYR2K ZSYR2K ZHER2K cblas_dsyr2k cblas_zsyr2k cblas_zher2k

Note: xerbla is not used by ESSL but is included in the ESSL libraries for use in other programming environments (for example, Python).

CBLAS Subroutines

Note the following about the CBLAS subroutines:

The definitions of the CBLAS data types and prototypes are included in the ESSL header files. In the beginning of your program, before you call any of the CBLAS subroutines, you must code the following statement for the ESSL header file:
```
 #include <essl.h>
```
CBLAS enumerated types have changed to type definitions for ESSL Version 5 Release 5 and changes are required if you used enumerated types. See Migrating Programs from ESSL for Linux on Power Version 5 Release 4 to Version 5 Release 5 for the required changes to your existing programs
For information about CBLAS calling sequences, see Syntax and [11].