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

.in +1c
.ti -1c
.RI "subroutine \fBzlavhp\fP (uplo, trans, diag, n, nrhs, a, ipiv, b, ldb, info)"
.br
.RI "\fBZLAVHP\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "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)"

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

.PP
.nf
!>
!>    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 )\&.
!> 
.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*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\&.
!> 
.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 \fBzlavhp\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.