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DLAMSH - send multiple shifts through a small (single node) matrix to see how consecutive small

Arguments

       S       (local input/output) DOUBLE PRECISION array, (LDS,*)
               On  entry, the matrix of shifts.  Only the 2x2 diagonal of S is referenced.  It is assumed that S
               has JBLK double shifts (size 2).  On exit, the data is rearranged in the best order for applying.

       LDS     (local input) INTEGER
               On entry, the leading dimension of S.  Unchanged on exit.  1 < NBULGE <= JBLK <= LDS/2

       NBULGE  (local input/output) INTEGER
               On entry, the number of bulges to send through H ( >1 ).  NBULGE should be less than the  maximum
               determined (JBLK).  1 < NBULGE <= JBLK <= LDS/2 On exit, the maximum number of bulges that can be
               sent through.

       JBLK    (local input) INTEGER
               On entry, the number of shifts determined for S.  Unchanged on exit.

       H       (local input/output) DOUBLE PRECISION array (LDH,N)
               On  entry, the local matrix to apply the shifts on.  H should be aligned so that the starting row
               is 2.  On exit, the data is destroyed.

       LDS     (local input) INTEGER
               On entry, the leading dimension of S.  Unchanged on exit.

       N       (local input) INTEGER
               On entry, the size of H.  If all the bulges are expected to go through,  N  should  be  at  least
               4*NBULGE+2.  Otherwise, NBULGE may be reduced by this routine.

       ULP     (local input) DOUBLE PRECISION
               On entry, machine precision Unchanged on exit.

               Implemented by:  G. Henry, May 1, 1997

LAPACK version 1.5                                 12 May 1997                                         DLAMSH(l)

Name

       DLAMSH  -  send  multiple  shifts  through  a  small  (single  node) matrix to  see how consecutive small
       subdiagonal elements are modified by  subsequent shifts in an effort to maximize  the  number  of  bulges
       that can be sent through

Purpose

       DLAMSH sends multiple shifts through a small (single node) matrix to
          see how consecutive small subdiagonal elements are modified by
          subsequent shifts in an effort to maximize the number of bulges
          that can be sent through.  DLAMSH should only be called when there are multiple shifts/bulges
          (NBULGE > 1) and the first shift is starting in the middle of an
          unreduced Hessenberg matrix because of two or more consecutive small
          subdiagonal elements.

Synopsis

       SUBROUTINE DLAMSH ( S, LDS, NBULGE, JBLK, H, LDH, N, ULP )

           INTEGER       LDS, NBULGE, JBLK, LDH, N

           DOUBLE        PRECISION ULP

           DOUBLE        PRECISION S(LDS,*), H(LDH,*)

See Also