NAG Library Manual, Mark 28.5
```    Program f07mufe

!     F07MUF Example Program Text

!     Mark 28.5 Release. NAG Copyright 2022.

!     .. Use Statements ..
Use nag_library, Only: nag_wp, x02ajf, zhecon, zhetrf, zlanhe => f06ucf
!     .. Implicit None Statement ..
Implicit None
!     .. Parameters ..
Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
Real (Kind=nag_wp)               :: anorm, rcond
Integer                          :: i, info, lda, lwork, n
Character (1)                    :: uplo
!     .. Local Arrays ..
Complex (Kind=nag_wp), Allocatable :: a(:,:), work(:)
Real (Kind=nag_wp), Allocatable  :: rwork(:)
Integer, Allocatable             :: ipiv(:)
!     .. Executable Statements ..
Write (nout,*) 'F07MUF Example Program Results'
!     Skip heading in data file
lda = n
lwork = 64*n
Allocate (a(lda,n),work(lwork),rwork(n),ipiv(n))

!     Read A from data file

If (uplo=='U') Then
Else If (uplo=='L') Then
End If

!     Compute norm of A
!     f06ucf is the NAG name equivalent of the LAPACK auxiliary zlanhe
anorm = zlanhe('1-norm',uplo,n,a,lda,rwork)

!     Factorize A
!     The NAG name equivalent of zhetrf is f07mrf
Call zhetrf(uplo,n,a,lda,ipiv,work,lwork,info)

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

!       Estimate condition number
!       The NAG name equivalent of zhecon is f07muf
Call zhecon(uplo,n,a,lda,ipiv,anorm,rcond,work,info)

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

99999 Format (1X,A,1P,E10.2)
End Program f07mufe
```