= Level 1 =

        dim scalar  vectors           scalars        5-el-array
xROTG                                       A B C S                generate plane rotation
xROTMG                                D1 D2 A B      PARAM         generate modified plane rotation
xROT    N           X INCX Y INCY               C S                apply plane rotation
xROTM   N           X INCX Y INCY                    PARAM         apply modified plane rotation
xSWAP   N           X INCX Y INCY                                  swap x and y
xSCAL   N   ALPHA   X INCX                                         scale x
xCOPY   N           X INCX Y INCY                                  y := x
xAXPY   N   ALPHA   X INCX Y INCY                                  y := α⋅x + y
xDOT    N           X INCX Y INCY                                  x^T y
xDOTU   N           X INCX Y INCY                                  x^T y
xDOTC   N           X INCX Y INCY                                  x^H y
xxDOT   N   ALPHA?  X INCX Y INCY                                  α + x^T y
xNRM2   N           X INCX                                         ||x||
xASUM   N           X INCX                                         |re[x]| + |im[x]|
IxAMAX  N           X INCX                                         first max of |re[x]| + |im[x]|

= Level 2 =

(MV is matrix vector product)
(R Rank-one update)
(R2 Rank-two update)
(SV solve a system of linear equations)
LDA is the leading dimension of A
(Band storage: a_{ij} is stored in AB(ku + 1 + i - j, j) where kl is the number of subdiagonals.

      options         dim bWidth Scalar Matrix Vector Scalar Vector  Action
xGEMV      TRANS      M N        ALPHA  A LDA  X INCX BETA   Y INCY  y := α A x + β y (or transposed A or hermitian A)
xGBMV UPLO            M N KL KU  ALPHA  A LDA  X INCX BETA   Y INCY  y := α A x + β y (or transposed A or hermitian A)
xHEMV UPLO              N        ALPHA  A LDA  X INCX BETA   Y INCY  y := α A x + β y
xHBMV UPLO              N        ALPHA  A LDA  X INCX BETA   Y INCY  y := α A x + β y
xHPMV UPLO              N        ALPHA  AP     X INCX BETA   Y INCY  y := α A x + β y
xSYMV UPLO              N        ALPHA  A LDA  X INCX BETA   Y INCY  y := α A x + β y
xSBMV UPLO              N        ALPHA  A LDA  X INCX BETA   Y INCY  y := α A x + β y
xSPMV UPLO              N        ALPHA  AP     X INCX BETA   Y INCY  y := α A x + β y
xTRMV UPLO TRANS DIAG   N               A LDA  X INCX                x := A x (or transposed A or hermitian A)
xTBMV UPLO TRANS DIAG   N K             A LDA  X INCX                x := A x (or transposed A or hermitian A)
xTPMV UPLO TRANS DIAG   N               AP     X INCX                x := A x (or transposed A or hermitian A)
xTRSV UPLO TRANS DIAG   N               A LDA  X INCX                x := A^(-1) x (or transposed A inverse or hermitian A inverse)
xTBSV UPLO TRANS DIAG   N K             A LDA  X INCX                x := A^(-1) x (or transposed A inverse or hermitian A inverse)
xTPSV UPLO TRANS DIAG   N               AP     X INCX                x := A^(-1) x (or transposed A inverse or hermitian A inverse) 
      options         dim Scalar Vector           Matrix Action
xGER                  M N ALPHA  X INCX Y INCY    A LDA  A := α x y^T + A
xGERU                 M N ALPHA  X INCX Y INCY    A LDA  A := α x y^T + A
xGERC                 M N ALPHA  X INCX Y INCY    A LDA  A := α x y^H + A
xHER  UPLO              N ALPHA  X INCX           A LDA  A := α x x^H + A
xHPR  UPLO              N ALPHA  X INCX           AP     A := α x x^H + A
xHER2 UPLO              N ALPHA  X INCX Y INCY    A LDA  A := α x y^H + y (α x)^H + A
xHPR2 UPLO              N ALPHA  X INCX Y INCY    AP     A := α x y^H + y (a x)^H + A
xSYR  UPLO              N ALPHA  X INCX           A LDA  A := α x x^Y + A
xSYR2 UPLO              N ALPHA  X INCX Y INCY    A LDA  A := a x y^T + α y x^Y + A
xSPR2 UPLO              N ALPHA  X INCX Y INCY    AP     A := a x y^T + a y x^T + A

= Level 3 =