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http://www.netlib.org/scalapack/index.html
At the lowest level, the efficiency of the PBLAS is determined by the local performance of the BLAS and the BLACS. In addition, depending on the shape of its input and output distributed matrices, the PBLAS select the best algorithm in terms of data transfer across the process grid. Transparent to the user, this relatively simple selection process ensures high efficiency independent of the actual computation performed.
Level 1 PBLAS
dim scalar vector vector P_SWAP ( N, X, IX, JX, DESCX, INCX, Y, IY, JY, DESCY, INCY ) P_SCAL ( N, ALPHA, X, IX, JX, DESCX, INCX ) P_COPY ( N, X, IX, JX, DESCX, INCX, Y, IY, JY, DESCY, INCY ) P_AXPY ( N, ALPHA, X, IX, JX, DESCX, INCX, Y, IY, JY, DESCY, INCY ) P_DOT ( N, DOT, X, IX, JX, DESCX, INCX, Y, IY, JY, DESCY, INCY ) P_DOTU ( N, DOTU, X, IX, JX, DESCX, INCX, Y, IY, JY, DESCY, INCY ) P_DOTC ( N, DOTC, X, IX, JX, DESCX, INCX, Y, IY, JY, DESCY, INCY ) P_NRM2 ( N, NORM2, X, IX, JX, DESCX, INCX ) P_ASUM ( N, ASUM, X, IX, JX, DESCX, INCX ) P_AMAX ( N, AMAX, INDX, X, IX, JX, DESCX, INCX )
Level 2 PBLAS
         options            dim   scalar matrix            vector                 scalar vector
P_GEMV (       TRANS,       M, N, ALPHA, A, IA, JA, DESCA, X, IX, JX, DESCX, INCX, BETA, Y, IY, JY, DESCY, INCY )
P_HEMV ( UPLO,                 N, ALPHA, A, IA, JA, DESCA, X, IX, JX, DESCX, INCX, BETA, Y, IY, JY, DESCY, INCY )
P_SYMV ( UPLO,                 N, ALPHA, A, IA, JA, DESCA, X, IX, JX, DESCX, INCX, BETA, Y, IY, JY, DESCY, INCY )
P_TRMV ( UPLO, TRANS, DIAG,    N,        A, IA, JA, DESCA, X, IX, JX, DESCX, INCX )
P_TRSV ( UPLO, TRANS, DIAG,    N,        A, IA, JA, DESCA, X, IX, JX, DESCX, INCX )
         options            dim   scalar vector                  vector                  matrix
P_GER  (                    M, N, ALPHA, X, IX, JX, DESCX, INCX, Y, IY, JY, DESCY, INCY, A, IA, JA, DESCA )
P_GERU (                    M, N, ALPHA, X, IX, JX, DESCX, INCX, Y, IY, JY, DESCY, INCY, A, IA, JA, DESCA )
P_GERC (                    M, N, ALPHA, X, IX, JX, DESCX, INCX, Y, IY, JY, DESCY, INCY, A, IA, JA, DESCA )
P_HER  ( UPLO,                 N, ALPHA, X, IX, JX, DESCX, INCX,                         A, IA, JA, DESCA )
P_HER2 ( UPLO,                 N, ALPHA, X, IX, JX, DESCX, INCX, Y, IY, JY, DESCY, INCY, A, IA, JA, DESCA )
P_SYR  ( UPLO,                 N, ALPHA, X, IX, JX, DESCX, INCX,                         A, IA, JA, DESCA )
P_SYR2 ( UPLO,                 N, ALPHA, X, IX, JX, DESCX, INCX, Y, IY, JY, DESCY, INCY, A, IA, JA, DESCA )
Level 3 PBLAS
options dim scalar matrix matrix scalar matrix P_GEMM ( TRANSA, TRANSB, M, N, K, ALPHA, A, IA, JA, DESCA, B, IB, JB, DESCB, BETA, C, IC, JC, DESCC ) P_SYMM ( SIDE, UPLO, M, N, ALPHA, A, IA, JA, DESCA, B, IB, JB, DESCB, BETA, C, IC, JC, DESCC ) P_HEMM ( SIDE, UPLO, M, N, ALPHA, A, IA, JA, DESCA, B, IB, JB, DESCB, BETA, C, IC, JC, DESCC ) P_SYRK ( UPLO, TRANS, N, K, ALPHA, A, IA, JA, DESCA, BETA, C, IC, JC, DESCC ) P_HERK ( UPLO, TRANS, N, K, ALPHA, A, IA, JA, DESCA, BETA, C, IC, JC, DESCC ) P_SYR2K( UPLO, TRANS, N, K, ALPHA, A, IA, JA, DESCA, B, IB, JB, DESCB, BETA, C, IC, JC, DESCC ) P_HER2K( UPLO, TRANS, N, K, ALPHA, A, IA, JA, DESCA, B, IB, JB, DESCB, BETA, C, IC, JC, DESCC ) P_TRAN ( M, N, ALPHA, A, IA, JA, DESCA, BETA, C, IC, JC, DESCC ) P_TRANU( M, N, ALPHA, A, IA, JA, DESCA, BETA, C, IC, JC, DESCC ) P_TRANC( M, N, ALPHA, A, IA, JA, DESCA, BETA, C, IC, JC, DESCC ) P_TRMM ( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, IA, JA, DESCA, B, IB, JB, DESCB ) P_TRSM ( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, IA, JA, DESCA, B, IB, JB, DESCB )

