.TH PZLACGV l "12 May 1997" "LAPACK version 1.5" "LAPACK auxiliary routine (version 1.5)"
.SH NAME
PZLACGV \- conjugate a complex vector of length N, sub( X ), where sub( X ) denotes X(IX,JX:JX+N-1) if INCX = DESCX( M_ ) and X(IX:IX+N-1,JX) if INCX = 1, and  Notes =====  Each global data object is described by an associated description vector
.SH SYNOPSIS
.TP 20
SUBROUTINE PZLACGV(
N, X, IX, JX, DESCX, INCX )
.TP 20
.ti +4
INTEGER
INCX, IX, JX, N
.TP 20
.ti +4
INTEGER
DESCX( * )
.TP 20
.ti +4
COMPLEX*16
X( * )
.SH PURPOSE
PZLACGV conjugates a complex vector of length N, sub( X ), where
sub( X ) denotes X(IX,JX:JX+N-1) if INCX = DESCX( M_ ) and
X(IX:IX+N-1,JX) if INCX = 1, and
the mapping between an object element and its corresponding process
and memory location.
.br

Let A be a generic term for any 2D block cyclicly distributed array.
Such a global array has an associated description vector DESCA.
In the following comments, the character _ should be read as
"of the global array".
.br

NOTATION        STORED IN      EXPLANATION
.br
--------------- -------------- --------------------------------------
DTYPE_A(global) DESCA( DTYPE_ )The descriptor type.  In this case,
                               DTYPE_A = 1.
.br
CTXT_A (global) DESCA( CTXT_ ) The BLACS context handle, indicating
                               the BLACS process grid A is distribu-
                               ted over. The context itself is glo-
                               bal, but the handle (the integer
                               value) may vary.
.br
M_A    (global) DESCA( M_ )    The number of rows in the global
                               array A.
.br
N_A    (global) DESCA( N_ )    The number of columns in the global
                               array A.
.br
MB_A   (global) DESCA( MB_ )   The blocking factor used to distribute
                               the rows of the array.
.br
NB_A   (global) DESCA( NB_ )   The blocking factor used to distribute
                               the columns of the array.
.br
RSRC_A (global) DESCA( RSRC_ ) The process row over which the first
                               row of the array A is distributed.
CSRC_A (global) DESCA( CSRC_ ) The process column over which the
                               first column of the array A is
                               distributed.
.br
LLD_A  (local)  DESCA( LLD_ )  The leading dimension of the local
                               array.  LLD_A >= MAX(1,LOCr(M_A)).

Let K be the number of rows or columns of a distributed matrix,
and assume that its process grid has dimension p x q.
.br
LOCr( K ) denotes the number of elements of K that a process
would receive if K were distributed over the p processes of its
process column.
.br
Similarly, LOCc( K ) denotes the number of elements of K that a
process would receive if K were distributed over the q processes of
its process row.
.br
The values of LOCr() and LOCc() may be determined via a call to the
ScaLAPACK tool function, NUMROC:
.br
        LOCr( M ) = NUMROC( M, MB_A, MYROW, RSRC_A, NPROW ),
        LOCc( N ) = NUMROC( N, NB_A, MYCOL, CSRC_A, NPCOL ).
An upper bound for these quantities may be computed by:
.br
        LOCr( M ) <= ceil( ceil(M/MB_A)/NPROW )*MB_A
.br
        LOCc( N ) <= ceil( ceil(N/NB_A)/NPCOL )*NB_A
.br

Because vectors may be viewed as a subclass of matrices, a
distributed vector is considered to be a distributed matrix.

.SH ARGUMENTS
.TP 8
N       (global input) INTEGER
The length of the distributed vector sub( X ).
.TP 8
X       (local input/local output) COMPLEX*16 pointer into the
local memory to an array of dimension (LLD_X,*).
On entry the vector to be conjugated
x( i )  = X(IX+(JX-1)*M_X +(i-1)*INCX ), 1 <= i <= N.
On exit the conjugated vector.
.TP 8
IX      (global input) INTEGER
The row index in the global array X indicating the first
row of sub( X ).
.TP 8
JX      (global input) INTEGER
The column index in the global array X indicating the
first column of sub( X ).
.TP 8
DESCX   (global and local input) INTEGER array of dimension DLEN_.
The array descriptor for the distributed matrix X.
.TP 8
INCX    (global input) INTEGER
The global increment for the elements of X. Only two values
of INCX are supported in this version, namely 1 and M_X.
INCX must not be zero.