Scroll to navigation

PDLAEVSWP(l) LAPACK routine (version 1.5) PDLAEVSWP(l)

NAME

PDLAEVSWP - move the eigenvectors (potentially unsorted) from where they are computed, to a ScaLAPACK standard block cyclic array, sorted so that the corresponding eigenvalues are sorted

SYNOPSIS

N, ZIN, LDZI, Z, IZ, JZ, DESCZ, NVS, KEY, WORK, LWORK )

INTEGER IZ, JZ, LDZI, LWORK, N INTEGER DESCZ( * ), KEY( * ), NVS( * ) DOUBLE PRECISION WORK( * ), Z( * ), ZIN( LDZI, * )

PURPOSE

PDLAEVSWP moves the eigenvectors (potentially unsorted) from where they are computed, to a ScaLAPACK standard block cyclic array, sorted so that the corresponding eigenvalues are sorted.

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

NP = the number of rows local to a given process. NQ = the number of columns local to a given process.

The order of the matrix A. N >= 0.
dimension ( LDZI, NVS(iam) ) The eigenvectors on input. Each eigenvector resides entirely in one process. Each process holds a contiguous set of NVS(iam) eigenvectors. The first eigenvector which the process holds is: sum for i=[0,iam-1) of NVS(i)
leading dimension of the ZIN array
global dimension (N, N), local dimension (DESCZ(DLEN_), NQ) The eigenvectors on output. The eigenvectors are distributed in a block cyclic manner in both dimensions, with a block size of NB.
Z's global row index, which points to the beginning of the submatrix which is to be operated on.
Z's global column index, which points to the beginning of the submatrix which is to be operated on.
The array descriptor for the distributed matrix Z.
nvs(i) = number of processes number of eigenvectors held by processes [0,i-1) nvs(1) = number of eigen vectors held by [0,1-1) == 0 nvs(nprocs+1) = number of eigen vectors held by [0,nprocs) == total number of eigenvectors
Indicates the actual index (after sorting) for each of the eigenvectors.
12 May 1997 LAPACK version 1.5