ellsm


NAME

ellsm, sellsm, dellsm - Ellpack format triangular solve


SYNOPSIS

  SUBROUTINE SELLSM( TRANSA, M, N, UNITD, DV, ALPHA, DESCRA,
 *           VAL, INDX, LDA, MAXNZ,
 *           B, LDB, BETA, C, LDC, WORK, LWORK )
  INTEGER*4  TRANSA, M, N, UNITD, DESCRA(5), LDA, MAXNZ,
 *           LDB, LDC, LWORK
  INTEGER*4  INDX(LDA,MAXNZ)
  REAL*4     ALPHA, BETA
  REAL*4     DV(NDV), VAL(LDA,MAXNZ), B(LDB,*), C(LDC,*), WORK(LWORK)
  SUBROUTINE DELLSM( TRANSA, M, N, UNITD, DV, ALPHA, DESCRA,
 *           VAL, INDX, LDA, MAXNZ,
 *           B, LDB, BETA, C, LDC, WORK, LWORK)
  INTEGER*4  TRANSA, M, N, UNITD, DESCRA(5), LDA, MAXNZ,
 *           LDB, LDC, LWORK
  INTEGER*4  INDX(LDA,MAXNZ)
  REAL*8     ALPHA, BETA
  REAL*8     DV(NDV), VAL(LDA,MAXNZ), B(LDB,*), C(LDC,*), WORK(LWORK)


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 containing the diagonal entries of the (block)
               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()         two-dimensional LDA-by-MAXNZ array such that VAL(I,:)
               consists of non-zero elements in row I of A, padded by 
               zero values if the row contains less than MAXNZ.
 INDX()        two-dimensional integer LDA-by-MAXNZ array such 
               INDX(I,:) consists of the column indices of the 
               nonzero elements in row I, padded by the integer 
               value I if the number of nonzeros is less than MAXNZ.
 LDA           leading dimension of VAL and INDX.
 MAXNZ         max number of nonzeros elements per row.
 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.  LWORK should be at least
               MAX(M,N).
 LWORK         length of WORK array


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.