Program f11jdfe

!     F11JDF Example Program Text

!     Mark 29.3 Release. NAG Copyright 2023.

!     .. Use Statements ..
      Use nag_library, Only: f11gdf, f11gef, f11gff, f11jdf, f11xef, nag_wp
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
      Real (Kind=nag_wp)               :: anorm, omega, sigerr, sigmax,        &
                                          sigtol, stplhs, stprhs, tol
      Integer                          :: i, ifail, ifail1, irevcm, iterm,     &
                                          itn, its, liwork, lwneed, lwork,     &
                                          maxitn, maxits, monit, n, nnz
      Character (1)                    :: ckjdf, ckxef, norm, precon, sigcmp,  &
                                          weight
      Character (6)                    :: method
!     .. Local Arrays ..
      Real (Kind=nag_wp), Allocatable  :: a(:), b(:), rdiag(:), wgt(:),        &
                                          work(:), x(:)
      Integer, Allocatable             :: icol(:), irow(:), iwork(:)
!     .. Executable Statements ..
      Write (nout,*) 'F11JDF Example Program Results'
!     Skip heading in data file
      Read (nin,*)

!     Read algorithmic parameters

      Read (nin,*) n
      Read (nin,*) nnz
      liwork = n + 1
      lwork = 6*n + 120

      Allocate (a(nnz),b(n),rdiag(n),wgt(n),work(lwork),x(n),icol(nnz),        &
        irow(nnz),iwork(liwork))
      Read (nin,*) method
      Read (nin,*) precon, sigcmp, norm, iterm
      Read (nin,*) tol, maxitn
      Read (nin,*) anorm, sigmax
      Read (nin,*) sigtol, maxits
      Read (nin,*) omega

!     Read the matrix A

      Do i = 1, nnz
        Read (nin,*) a(i), irow(i), icol(i)
      End Do

!     Read right-hand side vector b and initial approximate solution x

      Read (nin,*) b(1:n)
      Read (nin,*) x(1:n)

!     Call F11GDF to initialize solver

      weight = 'N'
      monit = 0

!     ifail: behaviour on error exit
!             =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
      ifail = 0
      Call f11gdf(method,precon,sigcmp,norm,weight,iterm,n,tol,maxitn,anorm,   &
        sigmax,sigtol,maxits,monit,lwneed,work,lwork,ifail)

!     Calculate reciprocal diagonal matrix elements.

      iwork(1:n) = 0

      Do i = 1, nnz
        If (irow(i)==icol(i)) Then
          iwork(irow(i)) = iwork(irow(i)) + 1
          If (a(i)/=0.0E0_nag_wp) Then
            rdiag(irow(i)) = 1.0E0_nag_wp/a(i)
          Else
            Write (nout,*) 'Matrix has a zero diagonal element'
            Go To 100
          End If
        End If
      End Do

      Do i = 1, n
        If (iwork(i)==0) Then
          Write (nout,*) 'Matrix has a missing diagonal element'
          Go To 100
        End If
        If (iwork(i)>=2) Then
          Write (nout,*) 'Matrix has a multiple diagonal element'
          Go To 100
        End If
      End Do

!     Call F11GEF to solve the linear system

      irevcm = 0
      ckxef = 'C'
      ckjdf = 'C'

      ifail = 1
loop: Do
        Call f11gef(irevcm,x,b,wgt,work,lwork,ifail)

        If (irevcm/=4) Then
          ifail1 = -1
          Select Case (irevcm)
          Case (1)
!           Compute matrix vector product

            Call f11xef(n,nnz,a,irow,icol,ckxef,x,b,ifail1)

            ckxef = 'N'
          Case (2)
!           SSOR preconditioning

            Call f11jdf(n,nnz,a,irow,icol,rdiag,omega,ckjdf,x,b,iwork,ifail1)

            ckjdf = 'N'
          End Select
          If (ifail1/=0) Then
            irevcm = 6
          End If
        Else If (ifail/=0) Then
          Write (nout,99996) ifail
          Go To 100
        Else
          Exit loop
        End If
      End Do loop

!     Termination

      Call f11gff(itn,stplhs,stprhs,anorm,sigmax,its,sigerr,work,lwork,ifail)

      Write (nout,99999) 'Converged in', itn, ' iterations'
      Write (nout,99998) 'Final residual norm =', stplhs

!     Output x

      Write (nout,99997) x(1:n)

100   Continue

99999 Format (1X,A,I10,A)
99998 Format (1X,A,1P,E16.3)
99997 Format (1X,1P,E16.4)
99996 Format (1X,/,1X,' ** F11GEF returned with IFAIL = ',I5)
    End Program f11jdfe