TESTING/LIN/zlavhe_rook.f(3)                          Library Functions Manual

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
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0    TESTING/LIN/zlavhe_rook.f(3)