Program f12apfe

!     F12APF Example Program Text

!     Mark 27.3 Release. NAG Copyright 2021.

!     .. Use Statements ..
      Use nag_library, Only: dznrm2, f12anf, f12apf, f12aqf, f12arf, f12asf,   &
                             nag_wp, zgttrf, zgttrs
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Complex (Kind=nag_wp), Parameter :: one = (1.0_nag_wp,0.0_nag_wp)
      Complex (Kind=nag_wp), Parameter :: two = (2.0_nag_wp,0.0_nag_wp)
      Integer, Parameter               :: imon = 0, nerr = 6, nin = 5,         &
                                          nout = 6
!     .. Local Scalars ..
      Complex (Kind=nag_wp)            :: h, h2, rho, s, s1, s2, s3, sigma
      Integer                          :: ifail, info, irevcm, j, lcomm, ldv,  &
                                          licomm, n, nconv, ncv, nev, niter,   &
                                          nshift, nx
!     .. Local Arrays ..
      Complex (Kind=nag_wp), Allocatable :: comm(:), d(:,:), dd(:), dl(:),     &
                                          du(:), du2(:), mx(:), resid(:),      &
                                          v(:,:), x(:)
      Integer, Allocatable             :: icomm(:), ipiv(:)
!     .. Intrinsic Procedures ..
      Intrinsic                        :: cmplx, int, max
!     .. Executable Statements ..
      Write (nout,*) 'F12APF Example Program Results'
      Write (nout,*)

!     Skip heading in data file
      Read (nin,*)

      Read (nin,*) nx, nev, ncv
      n = nx*nx

!     Initialize communication arrays.
!     Query the required sizes of the communication arrays.

      licomm = -1
      lcomm = -1
      Allocate (icomm(max(1,licomm)),comm(max(1,lcomm)))

      ifail = 0
      Call f12anf(n,nev,ncv,icomm,licomm,comm,lcomm,ifail)

      licomm = icomm(1)
      lcomm = int(comm(1))
      Deallocate (icomm,comm)
      Allocate (icomm(max(1,licomm)),comm(max(1,lcomm)))

      ifail = 0
      Call f12anf(n,nev,ncv,icomm,licomm,comm,lcomm,ifail)

!     Set the mode.

      ifail = 0
      Call f12arf('SHIFTED INVERSE',icomm,comm,ifail)

      sigma = cmplx(0,kind=nag_wp)
      rho = (10.0_nag_wp,0.0_nag_wp)
      h = one/cmplx(n+1,kind=nag_wp)
      h2 = h*h
      s = rho/two

      s1 = -one/h2 - s/h
      s2 = two/h2 - sigma
      s3 = -one/h2 + s/h

      Allocate (dl(n-1),dd(n),du(n-1),du2(n-2),ipiv(n))
      dl(1:n-1) = s1
      dd(1:n-1) = s2
      du(1:n-1) = s3
      dd(n) = s2

!     The NAG name equivalent of zgttrf is f07crf
      Call zgttrf(n,dl,dd,du,du2,ipiv,info)

      If (info/=0) Then
        Write (nerr,99999) info
        Go To 110
      End If

      ldv = n
      Allocate (resid(n),v(ldv,ncv),x(n),mx(n),d(ncv,2))

      irevcm = 0
      ifail = -1

100   Continue

      Call f12apf(irevcm,resid,v,ldv,x,mx,nshift,comm,icomm,ifail)

      If (irevcm/=5) Then

        If (irevcm==-1 .Or. irevcm==1) Then

!         Perform  x <--- OP*x = inv[A-SIGMA*I]*x

!         The NAG name equivalent of zgttrs is f07csf
          Call zgttrs('N',n,1,dl,dd,du,du2,ipiv,x,n,info)

          If (info/=0) Then
            Write (nerr,99998) info
            Go To 110
          End If

        Else If (irevcm==4 .And. imon/=0) Then

!         Output monitoring information

          Call f12asf(niter,nconv,d,d(1,2),icomm,comm)

!         The NAG name equivalent of dznrm2 is f06jjf
          Write (6,99997) niter, nconv, dznrm2(nev,d(1,2),1)
        End If

        Go To 100

      End If

      If (ifail==0) Then

!       Post-Process using F12AQF to compute eigenvalues/vectors.

        ifail = 0
        Call f12aqf(nconv,d,v,ldv,sigma,resid,v,ldv,comm,icomm,ifail)

        Write (nout,99996) nconv

        Do j = 1, nconv
          Write (nout,99995) j, d(j,1)
        End Do

      End If

110   Continue

99999 Format (1X,'** Error status returned by ZGTTRF, INFO =',I12)
99998 Format (1X,'** Error status returned by ZGTTRS, INFO =',I12)
99997 Format (1X,'Iteration',1X,I3,', No. converged =',1X,I3,', norm o',       &
        'f estimates =',E16.8)
99996 Format (1X,/,' The ',I4,' Ritz values of smallest magnitude are:',/)
99995 Format (1X,I8,5X,'( ',F12.4,' , ',F12.4,' )')
    End Program f12apfe