subroutine solsy (wm, iwm, x, tem)
clll. optimize
      integer iwm
      integer iownd, iowns,
     1   icf, ierpj, iersl, jcur, jstart, kflag, l, meth, miter,
     2   maxord, maxcor, msbp, mxncf, n, nq, nst, nfe, nje, nqu
      integer i, meband, ml, mu
      double precision wm, x, tem
      double precision rownd, rowns,
     1   ccmax, el0, h, hmin, hmxi, hu, rc, tn, uround
      double precision di, hl0, phl0, r
      dimension wm(1), iwm(1), x(1), tem(1)
      common /ls0001/ rownd, rowns(209),
     2   ccmax, el0, h, hmin, hmxi, hu, rc, tn, uround,
     3   iownd(14), iowns(6),
     4   icf, ierpj, iersl, jcur, jstart, kflag, l, meth, miter,
     5   maxord, maxcor, msbp, mxncf, n, nq, nst, nfe, nje, nqu
c-----------------------------------------------------------------------
c this routine manages the solution of the linear system arising from
c a chord iteration.  it is called if miter .ne. 0.
c if miter is 1 or 2, it calls dgesl to accomplish this.
c if miter = 3 it updates the coefficient h*el0 in the diagonal
c matrix, and then computes the solution.
c if miter is 4 or 5, it calls dgbsl.
c communication with solsy uses the following variables..
c wm    = real work space containing the inverse diagonal matrix if
c         miter = 3 and the lu decomposition of the matrix otherwise.
c         storage of matrix elements starts at wm(3).
c         wm also contains the following matrix-related data..
c         wm(1) = sqrt(uround) (not used here),
c         wm(2) = hl0, the previous value of h*el0, used if miter = 3.
c iwm   = integer work space containing pivot information, starting at
c         iwm(21), if miter is 1, 2, 4, or 5.  iwm also contains band
c         parameters ml = iwm(1) and mu = iwm(2) if miter is 4 or 5.
c x     = the right-hand side vector on input, and the solution vector
c         on output, of length n.
c tem   = vector of work space of length n, not used in this version.
c iersl = output flag (in common).  iersl = 0 if no trouble occurred.
c         iersl = 1 if a singular matrix arose with miter = 3.
c this routine also uses the common variables el0, h, miter, and n.
c-----------------------------------------------------------------------
      iersl = 0
      go to (100, 100, 300, 400, 400), miter
 100  call dgesl (wm(3), n, n, iwm(21), x, 0)
      return
c
 300  phl0 = wm(2)
      hl0 = h*el0
      wm(2) = hl0
      if (hl0 .eq. phl0) go to 330
      r = hl0/phl0
      do 320 i = 1,n
        di = 1.0d0 - r*(1.0d0 - 1.0d0/wm(i+2))
        if (dabs(di) .eq. 0.0d0) go to 390
 320    wm(i+2) = 1.0d0/di
 330  do 340 i = 1,n
 340    x(i) = wm(i+2)*x(i)
      return
 390  iersl = 1
      return
c
 400  ml = iwm(1)
      mu = iwm(2)
      meband = 2*ml + mu + 1
      call dgbsl (wm(3), meband, n, ml, mu, iwm(21), x, 0)
      return
c----------------------- end of subroutine solsy -----------------------
      end