Provided by: scalapack-doc_1.5-10_all 
NAME
PZLAPV2 - applie either P (permutation matrix indicated by IPIV) or inv( P ) to a M-by-N
distributed matrix sub( A ) denoting A(IA:IA+M-1,JA:JA+N-1), resulting in row or column
pivoting
SYNOPSIS
SUBROUTINE PZLAPV2( DIREC, ROWCOL, M, N, A, IA, JA, DESCA, IPIV, IP, JP, DESCIP )
CHARACTER DIREC, ROWCOL
INTEGER IA, IP, JA, JP, M, N
INTEGER DESCA( * ), DESCIP( * ), IPIV( * )
COMPLEX*16 A( * )
PURPOSE
PZLAPV2 applies either P (permutation matrix indicated by IPIV) or inv( P ) to a M-by-N
distributed matrix sub( A ) denoting A(IA:IA+M-1,JA:JA+N-1), resulting in row or column
pivoting. The pivot vector should be aligned with the distributed matrix A. For pivoting
the rows of sub( A ), IPIV should be distributed along a process column and replicated
over all process rows. Similarly, IPIV should be distributed along a process row and
replicated over all process columns for column pivoting.
Notes
=====
Each global data object is described by an associated description vector. This vector
stores the information required to establish the mapping between an object element and its
corresponding process and memory location.
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".
NOTATION STORED IN EXPLANATION
--------------- -------------- -------------------------------------- DTYPE_A(global)
DESCA( DTYPE_ )The descriptor type. In this case,
DTYPE_A = 1.
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.
M_A (global) DESCA( M_ ) The number of rows in the global
array A.
N_A (global) DESCA( N_ ) The number of columns in the global
array A.
MB_A (global) DESCA( MB_ ) The blocking factor used to distribute
the rows of the array.
NB_A (global) DESCA( NB_ ) The blocking factor used to distribute
the columns of the array.
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.
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.
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.
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.
The values of LOCr() and LOCc() may be determined via a call to the ScaLAPACK tool
function, NUMROC:
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:
LOCr( M ) <= ceil( ceil(M/MB_A)/NPROW )*MB_A
LOCc( N ) <= ceil( ceil(N/NB_A)/NPCOL )*NB_A
ARGUMENTS
DIREC (global input) CHARACTER
Specifies in which order the permutation is applied: = 'F' (Forward) Applies
pivots Forward from top of matrix. Computes P * sub( A ); = 'B' (Backward)
Applies pivots Backward from bottom of matrix. Computes inv( P ) * sub( A ).
ROWCOL (global input) CHARACTER
Specifies if the rows or columns are to be permuted: = 'R' Rows will be permuted,
= 'C' Columns will be permuted.
M (global input) INTEGER
The number of rows to be operated on, i.e. the number of rows of the distributed
submatrix sub( A ). M >= 0.
N (global input) INTEGER
The number of columns to be operated on, i.e. the number of columns of the
distributed submatrix sub( A ). N >= 0.
A (local input/local output) COMPLEX*16 pointer into the
local memory to an array of dimension (LLD_A, LOCc(JA+N-1)). On entry, this local
array contains the local pieces of the distributed matrix sub( A ) to which the
row or columns interchanges will be applied. On exit, this array contains the
local pieces of the permuted distributed matrix.
IA (global input) INTEGER
The row index in the global array A indicating the first row of sub( A ).
JA (global input) INTEGER
The column index in the global array A indicating the first column of sub( A ).
DESCA (global and local input) INTEGER array of dimension DLEN_.
The array descriptor for the distributed matrix A.
IPIV (input) INTEGER array, dimension >= LOCr(M_A)+MB_A if
ROWCOL = 'R', LOCc(N_A)+NB_A otherwise. It contains the pivoting information.
IPIV(i) is the global row (column), local row (column) i was swapped with. The
last piece of the array of size MB_A (resp. NB_A) is used as workspace. IPIV is
tied to the distributed matrix A.
IP (global input) INTEGER
IPIV's global row index, which points to the beginning of the submatrix which is
to be operated on.
JP (global input) INTEGER
IPIV's global column index, which points to the beginning of the submatrix which
is to be operated on.
DESCIP (global and local input) INTEGER array of dimension 8
The array descriptor for the distributed matrix IPIV.