NAG Library Manual, Mark 29.3
```    Program f07hgfe

!     F07HGF Example Program Text

!     Mark 29.3 Release. NAG Copyright 2023.

!     .. Use Statements ..
Use nag_library, Only: dlansb => f06ref, dpbcon, dpbtrf, nag_wp, x02ajf
!     .. Implicit None Statement ..
Implicit None
!     .. Parameters ..
Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
Real (Kind=nag_wp)               :: anorm, rcond
Integer                          :: i, info, j, kd, ldab, n
Character (1)                    :: uplo
!     .. Local Arrays ..
Real (Kind=nag_wp), Allocatable  :: ab(:,:), work(:)
Integer, Allocatable             :: iwork(:)
!     .. Intrinsic Procedures ..
Intrinsic                        :: max, min
!     .. Executable Statements ..
Write (nout,*) 'F07HGF Example Program Results'
!     Skip heading in data file
ldab = kd + 1
Allocate (ab(ldab,n),work(3*n),iwork(n))

!     Read A from data file

If (uplo=='U') Then
Do i = 1, n
End Do
Else If (uplo=='L') Then
Do i = 1, n
End Do
End If

!     Compute norm of A

!     f06ref is the NAG name equivalent of the LAPACK auxiliary dlansb
anorm = dlansb('1-norm',uplo,n,kd,ab,ldab,work)

!     Factorize A
!     The NAG name equivalent of dpbtrf is f07hdf
Call dpbtrf(uplo,n,kd,ab,ldab,info)

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

!       Estimate condition number
!       The NAG name equivalent of dpbcon is f07hgf
Call dpbcon(uplo,n,kd,ab,ldab,anorm,rcond,work,iwork,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,*) 'A is not positive definite'
End If

99999 Format (1X,A,1P,E10.2)
End Program f07hgfe
```