Example description
    Program f01rkfe

!     F01RKF Example Program Text

!     Mark 27.0 Release. NAG Copyright 2019.

!     .. Use Statements ..
      Use nag_library, Only: f01rjf, f01rkf, nag_wp
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
      Integer                          :: i, ifail, lda, ldph, m, n, nrowp
!     .. Local Arrays ..
      Complex (Kind=nag_wp), Allocatable :: a(:,:), ph(:,:), theta(:), work(:)
!     .. Intrinsic Procedures ..
      Intrinsic                        :: conjg
!     .. Executable Statements ..
      Write (nout,*) 'F01RKF Example Program Results'
      Write (nout,*)
!     Skip heading in data file
      Read (nin,*)
      Read (nin,*) m, n
      lda = m
      ldph = n
      Allocate (a(lda,n),ph(ldph,n),theta(n),work(n))
      Read (nin,*)(a(i,1:n),i=1,m)
!     ifail: behaviour on error exit
!             =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
      ifail = 0
!     Find the RQ factorization of A
      Call f01rjf(m,n,a,lda,theta,ifail)

!     Copy array A into PH and form the n by n matrix conjg(P')
      ph(1:m,1:n) = a(1:m,1:n)
      nrowp = n

      ifail = 0
      Call f01rkf('Separate',m,n,nrowp,ph,ldph,theta,work,ifail)

      Write (nout,*) 'Matrix  P'
      Write (nout,99999)(conjg(ph(1:nrowp,i)),i=1,n)

99999 Format (5(' (',F6.3,',',F6.3,')',:))
    End Program f01rkfe