..
     .. Array Arguments ..
     ..
  Purpose
  =======
  PDLAQGE equilibrates a general M-by-N distributed matrix
  sub( A ) = A(IA:IA+M-1,JA:JA+N-1) using the row and scaling
  factors in the vectors R and C.
  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
  =========
  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) DOUBLE PRECISION pointer into the
          local memory to an array of dimension (LLD_A,LOCc(JA+N-1))
          containing on entry the M-by-N matrix sub( A ). On exit,
          the equilibrated distributed matrix.  See EQUED for the
          form of the equilibrated distributed submatrix.
  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.
  R       (local input) DOUBLE PRECISION array, dimension LOCr(M_A)
          The row scale factors for sub( A ). R is aligned with the
          distributed matrix A, and replicated across every process
          column. R is tied to the distributed matrix A.
  C       (local input) DOUBLE PRECISION array, dimension LOCc(N_A)
          The column scale factors of sub( A ). C is aligned with the
          distributed matrix A, and replicated down every process
          row. C is tied to the distributed matrix A.
  ROWCND  (global input) DOUBLE PRECISION
          The global ratio of the smallest R(i) to the largest R(i),
          IA <= i <= IA+M-1.
  COLCND  (global input) DOUBLE PRECISION
          The global ratio of the smallest C(i) to the largest C(i),
          JA <= j <= JA+N-1.
  AMAX    (global input) DOUBLE PRECISION
          Absolute value of largest distributed submatrix entry.
  EQUED   (global output) CHARACTER
          Specifies the form of equilibration that was done.
          = 'N':  No equilibration
          = 'R':  Row equilibration, i.e., sub( A ) has been pre-
                  multiplied by diag(R(IA:IA+M-1)),
          = 'C':  Column equilibration, i.e., sub( A ) has been post-
                  multiplied by diag(C(JA:JA+N-1)),
          = 'B':  Both row and column equilibration, i.e., sub( A )
                  has been replaced by
                  diag(R(IA:IA+M-1)) * sub( A ) * diag(C(JA:JA+N-1)).
  Internal Parameters
  ===================
  THRESH is a threshold value used to decide if row or column scaling
  should be done based on the ratio of the row or column scaling
  factors.  If ROWCND < THRESH, row scaling is done, and if
  COLCND < THRESH, column scaling is done.
  LARGE and SMALL are threshold values used to decide if row scaling
  should be done based on the absolute size of the largest matrix
  element.  If AMAX > LARGE or AMAX < SMALL, row scaling is done.
  =====================================================================
     .. Parameters ..