NAG Library Manual, Mark 27.2
```    Program f07cbfe

!     F07CBF Example Program Text

!     Mark 27.2 Release. NAG Copyright 2021.

!     .. Use Statements ..
Use nag_library, Only: dgtsvx, nag_wp, x04caf
!     .. Implicit None Statement ..
Implicit None
!     .. Parameters ..
Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
Real (Kind=nag_wp)               :: rcond
Integer                          :: i, ifail, info, ldb, ldx, n, nrhs
!     .. Local Arrays ..
Real (Kind=nag_wp), Allocatable  :: b(:,:), berr(:), d(:), df(:), dl(:), &
dlf(:), du(:), du2(:), duf(:),       &
ferr(:), work(:), x(:,:)
Integer, Allocatable             :: ipiv(:), iwork(:)
!     .. Executable Statements ..
Write (nout,*) 'F07CBF Example Program Results'
Write (nout,*)
Flush (nout)
!     Skip heading in data file
ldb = n
ldx = n
Allocate (b(ldb,nrhs),berr(nrhs),d(n),df(n),dl(n-1),dlf(n-1),du(n-1),    &
du2(n-2),duf(n-1),ferr(nrhs),work(3*n),x(ldx,nrhs),ipiv(n),iwork(n))

!     Read the tridiagonal matrix A from data file

!     Read the right hand matrix B

!     Solve the equations AX = B

!     The NAG name equivalent of dgtsvx is f07cbf
Call dgtsvx('No factors','No transpose',n,nrhs,dl,d,du,dlf,df,duf,du2,   &
ipiv,b,ldb,x,ldx,rcond,ferr,berr,work,iwork,info)

If ((info==0) .Or. (info==n+1)) Then

!       Print solution, error bounds and condition number

!       ifail: behaviour on error exit
!              =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
ifail = 0
Call x04caf('General',' ',n,nrhs,x,ldx,'Solution(s)',ifail)

Write (nout,*)
Write (nout,*) 'Backward errors (machine-dependent)'
Write (nout,99999) berr(1:nrhs)
Write (nout,*)
Write (nout,*) 'Estimated forward error bounds (machine-dependent)'
Write (nout,99999) ferr(1:nrhs)
Write (nout,*)
Write (nout,*) 'Estimate of reciprocal condition number'
Write (nout,99999) rcond

If (info==n+1) Then
Write (nout,*)
Write (nout,*) 'The matrix A is singular to working precision'
End If
Else
Write (nout,99998) 'The (', info, ',', info, ')',                      &
' element of the factor U is zero'
End If

99999 Format ((3X,1P,7E11.1))
99998 Format (1X,A,I3,A,I3,A,A)
End Program f07cbfe
```