Program f07agfe

!     F07AGF Example Program Text

!     Mark 29.1 Release. NAG Copyright 2023.

!     .. 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
      Read (nin,*)
      Read (nin,*) n
      lda = n
      Allocate (a(lda,n),work(4*n),ipiv(n),iwork(n))

!     Read A from data file

      Read (nin,*)(a(i,1:n),i=1,n)

!     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