.TH "TESTING/LIN/clavhp.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/LIN/clavhp.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBclavhp\fP (uplo, trans, diag, n, nrhs, a, ipiv, b, ldb, info)"
.br
.RI "\fBCLAVHP\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine clavhp (character uplo, character trans, character diag, integer n, integer nrhs, complex, dimension( * ) a, integer, dimension( * ) ipiv, complex, dimension( ldb, * ) b, integer ldb, integer info)"

.PP
\fBCLAVHP\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
    CLAVHP  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 CHPTRF\&.
    CHPTRF 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', CLAVHP multiplies either by U or U * D
    (or L or L * D)\&.
    If TRANS = 'C' or 'c', CLAVHP multiplies either by U^H or D * U^H
    (or L^H or D * L^H )\&.
.fi
.PP
 
.PP
.nf
  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 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 CSPTRF or CHPTRF\&.
           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 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\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

.PP
Definition at line \fB129\fP of file \fBclavhp\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.