TESTING/LIN/zlavhe_rook.f(3)

NAME
TESTING/LIN/zlavhe_rook.f

SYNOPSIS

  Functions/Subroutines
subroutine zlavhe_rook (uplo, trans, diag, n, nrhs, a, lda, ipiv, b, ldb, info)
ZLAVHE_ROOK

Function/Subroutine Documentation

  subroutine zlavhe_rook (character uplo, character trans, character diag, integer n, integer nrhs, complex*16, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, complex*16, dimension( ldb, * ) b, integer ldb, integer info)

ZLAVHE_ROOK

Purpose:
    ZLAVHE_ROOK performs one of the matrix-vector operations x := A*x or x := A^H*x, where x is an N element vector and A is one of the factors from the block U*D*U' or L*D*L' factorization computed by ZHETRF_ROOK.

If TRANS = 'N', multiplies by U or U * D (or L or L * D) If TRANS = 'C', multiplies by U' or D * U' (or L' or D * L')

Parameters
    UPLO

              UPLO is CHARACTER*1
              Specifies whether the factor stored in A is upper or lower
              triangular.
              = 'U':  Upper triangular
              = 'L':  Lower triangular

    TRANS

              TRANS is CHARACTER*1
              Specifies the operation to be performed:
              = 'N':  x := A*x
              = 'C':   x := A^H*x

    DIAG

              DIAG is CHARACTER*1
              Specifies whether or not the diagonal blocks are unit
              matrices.  If the diagonal blocks are assumed to be unit,
              then A = U or A = L, otherwise A = U*D or A = L*D.
              = 'U':  Diagonal blocks are assumed to be unit matrices.
              = 'N':  Diagonal blocks are assumed to be non-unit matrices.

    N

              N is INTEGER
              The number of rows and columns of the matrix A.  N >= 0.

    NRHS

              NRHS is INTEGER
              The number of right hand sides, i.e., the number of vectors
              x to be multiplied by A.  NRHS >= 0.

    A

              A is COMPLEX*16 array, dimension (LDA,N)
              The block diagonal matrix D and the multipliers used to
              obtain the factor U or L as computed by ZHETRF_ROOK.
              Stored as a 2-D triangular matrix.

    LDA

              LDA is INTEGER
              The leading dimension of the array A.  LDA >= max(1,N).

    IPIV

              IPIV is INTEGER array, dimension (N)
              Details of the interchanges and the block structure of D,
              as determined by ZHETRF_ROOK.
              If UPLO = 'U':
                 Only the last KB elements of IPIV are set.
                 If IPIV(k) > 0, then rows and columns k and IPIV(k) were
                 interchanged and D(k,k) is a 1-by-1 diagonal block.
                 If IPIV(k) < 0 and IPIV(k-1) < 0, then rows and
                 columns k and -IPIV(k) were interchanged and rows and
                 columns k-1 and -IPIV(k-1) were inerchaged,
                 D(k-1:k,k-1:k) is a 2-by-2 diagonal block.
              If UPLO = 'L':
                 Only the first KB elements of IPIV are set.
                 If IPIV(k) > 0, then rows and columns k and IPIV(k)
                 were interchanged and D(k,k) is a 1-by-1 diagonal block.
                 If IPIV(k) < 0 and IPIV(k+1) < 0, then rows and
                 columns k and -IPIV(k) were interchanged and rows and
                 columns k+1 and -IPIV(k+1) were inerchaged,
                 D(k:k+1,k:k+1) is a 2-by-2 diagonal block.

    B

              B is COMPLEX array, dimension (LDB,NRHS)
              On entry, B contains NRHS vectors of length N.
              On exit, B is overwritten with the product A * B.

    LDB

              LDB is INTEGER
              The leading dimension of the array B.  LDB >= max(1,N).

    INFO

              INFO is INTEGER
              = 0: successful exit
              < 0: if INFO = -k, the k-th argument had an illegal value

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 151 of file zlavhe_rook.f.

Author

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