PZLASCL(3) ScaLAPACK routine of NEC Numeric Library Collection PZLASCL(3)
NAME
PZLASCL - multiplie the M-by-N complex distributed matrix sub( A )
denoting A(IA:IA+M-1,JA:JA+N-1) by the real scalar CTO/CFROM
SYNOPSIS
SUBROUTINE PZLASCL( TYPE, CFROM, CTO, M, N, A, IA, JA, DESCA, INFO )
CHARACTER TYPE
INTEGER IA, INFO, JA, M, N
DOUBLE PRECISION CFROM, CTO
INTEGER DESCA( * )
COMPLEX*16 A( * )
PURPOSE
PZLASCL multiplies the M-by-N complex distributed matrix sub( A )
denoting A(IA:IA+M-1,JA:JA+N-1) by the real scalar CTO/CFROM. This is
done without over/underflow as long as the final result CTO * A(I,J) /
CFROM does not over/underflow. TYPE specifies that sub( A ) may be
full, upper triangular, lower triangular or upper Hessenberg.
Notes
=====
Each global data object is described by an associated description vec-
tor. This vector stores the information required to establish the map-
ping 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 col-
umn.
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
TYPE (global input) CHARACTER
TYPE indices the storage type of the input distributed matrix.
= 'G': sub( A ) is a full matrix,
= 'L': sub( A ) is a lower triangular matrix,
= 'U': sub( A ) is an upper triangular matrix,
= 'H': sub( A ) is an upper Hessenberg matrix.
CFROM (global input) DOUBLE PRECISION
CTO (global input) DOUBLE PRECISION The distributed matrix
sub( A ) is multiplied by CTO/CFROM. A(I,J) is computed with-
out over/underflow if the final result CTO * A(I,J) / CFROM can
be represented without over/underflow. CFROM must be nonzero.
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)).
This array contains the local pieces of the distributed matrix
sub( A ). On exit, this array contains the local pieces of the
distributed matrix multiplied by CTO/CFROM.
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.
INFO (local output) INTEGER
= 0: successful exit
< 0: If the i-th argument is an array and the j-entry had an
illegal value, then INFO = -(i*100+j), if the i-th argument is
a scalar and had an illegal value, then INFO = -i.
ScaLAPACK routine 31 October 2017 PZLASCL(3)