TESTING/LIN/zlavhp.f(3)

NAME
TESTING/LIN/zlavhp.f

SYNOPSIS

  Functions/Subroutines
subroutine zlavhp (uplo, trans, diag, n, nrhs, a, ipiv, b, ldb, info)
ZLAVHP

Function/Subroutine Documentation

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

ZLAVHP

Purpose:

        ZLAVHP  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 symmetric factorization computed by ZHPTRF.
        ZHPTRF produces a factorization of the form
             U * D * U^H     or     L * D * L^H,
        where U (or L) is a product of permutation and unit upper (lower)
        triangular matrices, U^H (or L^H) is the conjugate transpose of
        U (or L), and D is Hermitian and block diagonal with 1 x 1 and
        2 x 2 diagonal blocks.  The multipliers for the transformations
        and the upper or lower triangular parts of the diagonal blocks
        are stored columnwise in packed format in the linear array A.
        If TRANS = 'N' or 'n', ZLAVHP multiplies either by U or U * D
        (or L or L * D).
        If TRANS = 'C' or 'c', ZLAVHP multiplies either by U^H or D * U^H
        (or L^H or D * L^H ).

      UPLO   - CHARACTER*1
               On entry, UPLO specifies whether the triangular matrix
               stored in A is upper or lower triangular.
                  UPLO = 'U' or 'u'   The matrix is upper triangular.
                  UPLO = 'L' or 'l'   The matrix is lower triangular.
               Unchanged on exit.
      TRANS  - CHARACTER*1
               On entry, TRANS specifies the operation to be performed as
               follows:
                  TRANS = 'N' or 'n'   x := A*x.
                  TRANS = 'C' or 'c'   x := A^H*x.
               Unchanged on exit.
      DIAG   - CHARACTER*1
               On entry, DIAG specifies whether the diagonal blocks are
               assumed to be unit matrices, as follows:
                  DIAG = 'U' or 'u'   Diagonal blocks are unit matrices.
                  DIAG = 'N' or 'n'   Diagonal blocks are non-unit.
               Unchanged on exit.
      N      - INTEGER
               On entry, N specifies the order of the matrix A.
               N must be at least zero.
               Unchanged on exit.
      NRHS   - INTEGER
               On entry, NRHS specifies the number of right hand sides,
               i.e., the number of vectors x to be multiplied by A.
               NRHS must be at least zero.
               Unchanged on exit.
      A      - COMPLEX*16 array, dimension( N*(N+1)/2 )
               On entry, A contains a block diagonal matrix and the
               multipliers of the transformations used to obtain it,
               stored as a packed triangular matrix.
               Unchanged on exit.
      IPIV   - INTEGER array, dimension( N )
               On entry, IPIV contains the vector of pivot indices as
               determined by ZSPTRF or ZHPTRF.
               If IPIV( K ) = K, no interchange was done.
               If IPIV( K ) <> K but IPIV( K ) > 0, then row K was inter-
               changed with row IPIV( K ) and a 1 x 1 pivot block was used.
               If IPIV( K ) < 0 and UPLO = 'U', then row K-1 was exchanged
               with row | IPIV( K ) | and a 2 x 2 pivot block was used.
               If IPIV( K ) < 0 and UPLO = 'L', then row K+1 was exchanged
               with row | IPIV( K ) | and a 2 x 2 pivot block was used.
      B      - COMPLEX*16 array, dimension( LDB, NRHS )
               On entry, B contains NRHS vectors of length N.
               On exit, B is overwritten with the product A * B.
      LDB    - INTEGER
               On entry, LDB contains the leading dimension of B as
               declared in the calling program.  LDB must be at least
               max( 1, N ).
               Unchanged on exit.
      INFO   - INTEGER
               INFO is the error flag.
               On exit, a value of 0 indicates a successful exit.
               A negative value, say -K, indicates that the K-th argument
               has an illegal value.

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Definition at line 129 of file zlavhp.f.

Author

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