csrsm


NAME

csrsm, scsrsm, dcsrsm - compressed sparse row format triangular solve


SYNOPSIS

  SUBROUTINE SCSRSM( TRANSA, M, N, UNITD, DV, ALPHA, DESCRA,
 *           VAL, INDX, PNTRB, PNTRE,
 *           B, LDB, BETA, C, LDC, WORK, LWORK )
  INTEGER*4  TRANSA, M, N, UNITD, DESCRA(5),
 *           LDB, LDC, LWORK
  INTEGER*4  INDX(NNZ), PNTRB(M), PNTRE(M)
  REAL*4     ALPHA, BETA
  REAL*4     DV(M), VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
  SUBROUTINE DCSRSM( TRANSA, M, N, UNITD, DV, ALPHA, DESCRA,
 *           VAL, INDX, PNTRB, PNTRE,
 *           B, LDB, BETA, C, LDC, WORK, LWORK)
  INTEGER*4  TRANSA, M, N, UNITD, DESCRA(5),
 *           LDB, LDC, LWORK
  INTEGER*4  INDX(NNZ), PNTRB(M), PNTRE(M)
  REAL*8     ALPHA, BETA
  REAL*8     DV(M), VAL(NNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
  where NNZ = PNTRE(M)-PNTRB(1)


DESCRIPTION

 C <- alpha D inv(A) B + beta C    C <- alpha D inv(A') B + beta C
 C <- alpha inv(A) D B + beta C    C <- alpha inv(A') D B + beta C
                                    ( ' indicates matrix transpose)


ARGUMENTS

 TRANSA        Indicates how to operate with the sparse matrix
                 0 : operate with matrix
                 1 : operate with transpose matrix
 M             Number of rows in matrix A
 N             Number of columns in matrix C
 UNITD         Type of scaling:
                 1 : Identity matrix (argument DV[] is ignored)
                 2 : Scale on left (row scaling)
                 3 : Scale on right (column scaling)
 DV()          Array of length M containing the diagonal entries of the
               diagonal matrix D.
 ALPHA         Scalar parameter
 DESCRA()      Descriptor argument.  Five element integer array
               DESCRA(1) matrix structure
                 0 : general
                 1 : symmetric
                 2 : Hermitian
                 3 : Triangular
                 4 : Skew(Anti-Symmetric
                 5 : Diagonal
               DESCRA(2) upper/lower triangular indicator
                 1 : lower
                 2 : upper
               DESCRA(3) main diagonal type
                 0 : non-unit
                 1 : unit
               DESCRA(4) Array base  (NOT IMPLEMENTED)
                 0 : C/C++ compatible
                 1 : Fortran compatible
               DESCRA(5) repeated indices? (NOT IMPLEMENTED)
                 0 : unknown
                 1 : no repeated indices
 VAL()         scalar array of length NNZ containing matrix entries.
 INDX()        integer array of length NNZ containing column indices.
               (column indices MUST be sorted)
 PNTRB()       integer array of length M such that PNTRB(J)-PNTRB(1)+1
               points to location in VAL of the first nonzero element 
               in row J.
 PNTRE()       integer array of length M such that PNTRE(J)-PNTRE(1)
               points to location in VAL of the last nonzero element 
               in row J.
 B()           rectangular array with first dimension LDB.
 LDB           leading dimension of B
 BETA          Scalar parameter
 C()           rectangular array with first dimension LDC.
 LDC           leading dimension of C
 WORK()        scratch array of length LWORK.
               On exit,  if LWORK = -1, WORK(1) returns the optimal LWORK.
 LWORK         length of WORK array.  LWORK should be at least M.
               For good performance, LWORK should generally be larger.
               If LWORK = -1, then a workspace query is assumed; the routine
               only calculates the optimal size of the WORK array, returns
               this value as the first entry of the WORK array, and no error
               message related to LWORK is issued by XERBLA.


SEE ALSO

NIST FORTRAN Sparse Blas User's Guide available at:

http://math.nist.gov/mcsd/Staff/KRemington/fspblas/


NOTES/BUGS

The NIST FORTRAN Sparse BLAS are currently at version 0.5. Some features (including the ones so noted) may not yet be implemented.