diasm


NAME

diasm, sdiasm, ddiasm - diagonal format triangular solve


SYNOPSIS

  SUBROUTINE SDIASM( TRANSA, M, N, UNITD, DV, ALPHA, DESCRA,
 *           VAL, LDA, IDIAG, NDIAG,
 *           B, LDB, BETA, C, LDC, WORK, LWORK )
  INTEGER*4  TRANSA, M, N, UNITD, DESCRA(5), LDA, NDIAG,
 *           LDB, LDC, LWORK
  INTEGER*4  IDIAG(NDIAG)
  REAL*4     ALPHA, BETA
  REAL*4     DV(NDV), VAL(LDA,NDIAG), B(LDB,*), C(LDC,*), WORK(LWORK)
  SUBROUTINE DDIASM( TRANSA, M, N, UNITD, DV, ALPHA, DESCRA,
 *           VAL, LDA, IDIAG, NDIAG,
 *           B, LDB, BETA, C, LDC, WORK, LWORK)
  INTEGER*4  TRANSA, M, N, UNITD, DESCRA(5), LDA, NDIAG,
 *           LDB, LDC, LWORK
  INTEGER*4  IDIAG(NDIAG)
  REAL*8     ALPHA, BETA
  REAL*8     DV(NDV), VAL(LDA,NDIAG), 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-NDIAG array such that VAL(:,I)
               consists of non-zero elements on diagonal IDIAG(I)
               of A.  Diagonals in the lower triangular part of A
               are padded from the top, and those in the upper
               triangular part are padded from the bottom.
 LDA           leading dimension of VAL, must be .GE. MIN(M,K)
 IDIAG()       integer array of length NDIAG consisting of the
               corresponding diagonal offsets of the non-zero 
               diagonals of A in VAL.  Lower triangular diagonals 
               have negative offsets, the main diagonal has offset
               0, and upper triangular diagonals have positive offset. 
 NDIAG         number of non-zero diagonals in A.
 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.