```    Program f07agfe

!     F07AGF Example Program Text

!     Mark 27.0 Release. NAG Copyright 2019.

!     .. Use Statements ..
Use nag_library, Only: dgecon, dgetrf, dlange => f06raf, nag_wp, x02ajf
!     .. Implicit None Statement ..
Implicit None
!     .. Parameters ..
Integer, Parameter               :: nin = 5, nout = 6
Character (1), Parameter         :: norm = '1'
!     .. Local Scalars ..
Real (Kind=nag_wp)               :: anorm, rcond
Integer                          :: i, info, lda, n
!     .. Local Arrays ..
Real (Kind=nag_wp), Allocatable  :: a(:,:), work(:)
Integer, Allocatable             :: ipiv(:), iwork(:)
!     .. Executable Statements ..
Write (nout,*) 'F07AGF Example Program Results'
!     Skip heading in data file
lda = n
Allocate (a(lda,n),work(4*n),ipiv(n),iwork(n))

!     Read A from data file

!     Compute norm of A

!     f06raf is the NAG name equivalent of the LAPACK auxiliary dlange
anorm = dlange(norm,n,n,a,lda,work)

!     Factorize A
!     The NAG name equivalent of dgetrf is f07adf
Call dgetrf(n,n,a,lda,ipiv,info)

Write (nout,*)
If (info==0) Then

!       Estimate condition number

!       The NAG name equivalent of dgecon is f07agf
Call dgecon(norm,n,a,lda,anorm,rcond,work,iwork,info)

If (rcond>=x02ajf()) Then
Write (nout,99999) 'Estimate of condition number =',                 &
1.0E0_nag_wp/rcond
Else
Write (nout,*) 'A is singular to working precision'
End If
Else
Write (nout,*) 'The factor U is singular'
End If

99999 Format (1X,A,1P,E10.2)
End Program f07agfe
```