```    Program f11mhfe

!     F11MHF Example Program Text

!     Mark 26.2 Release. NAG Copyright 2017.

!     .. Use Statements ..
Use nag_library, Only: f11mdf, f11mef, f11mff, f11mhf, nag_wp, x04caf,   &
x04cbf
!     .. Implicit None Statement ..
Implicit None
!     .. Parameters ..
Real (Kind=nag_wp), Parameter    :: one = 1.E0_nag_wp
Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
Real (Kind=nag_wp)               :: flop, thresh
Integer                          :: i, ifail, j, ldb, ldx, n, nnz, nnzl, &
nnzu, nrhs, nzlmx, nzlumx, nzumx
Character (1)                    :: spec, trans
!     .. Local Arrays ..
Real (Kind=nag_wp), Allocatable  :: a(:), b(:,:), berr(:), ferr(:),      &
lval(:), uval(:), x(:,:)
Integer, Allocatable             :: icolzp(:), il(:), iprm(:),           &
irowix(:), iu(:)
Character (1)                    :: clabs(1), rlabs(1)
!     .. Executable Statements ..
Write (nout,*) 'F11MHF Example Program Results'
Flush (nout)
!     Skip heading in data file

!     Read order of matrix and number of right hand sides

ldb = n
ldx = n

Allocate (b(ldb,nrhs),berr(nrhs),ferr(nrhs),x(ldx,nrhs),icolzp(n+1),     &
iprm(7*n))

nnz = icolzp(n+1) - 1

Allocate (a(nnz),lval(8*nnz),uval(8*nnz),il(7*n+8*nnz+4),irowix(nnz),    &
iu(2*n+8*nnz+1))

Do i = 1, nnz
End Do

!     Read the right hand sides

Do j = 1, nrhs
b(1:n,j) = x(1:n,j)
End Do

!     Calculate COLAMD permutation

spec = 'M'

!     ifail: behaviour on error exit
!             =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
ifail = 0
Call f11mdf(spec,n,icolzp,irowix,iprm,ifail)

!     Factorise

thresh = one
ifail = 0
nzlmx = 8*nnz
nzlumx = 8*nnz
nzumx = 8*nnz

Call f11mef(n,irowix,a,iprm,thresh,nzlmx,nzlumx,nzumx,il,lval,iu,uval,   &
nnzl,nnzu,flop,ifail)

!     Compute solution in array X

trans = 'N'

ifail = 0
Call f11mff(trans,n,iprm,il,lval,iu,uval,nrhs,x,ldx,ifail)

!     Improve solution, and compute backward errors and estimated
!     bounds on the forward errors

Call f11mhf(trans,n,icolzp,irowix,a,iprm,il,lval,iu,uval,nrhs,b,ldb,x,   &
ldx,ferr,berr,ifail)

!     Print solution

Write (nout,*)
Flush (nout)

Call x04caf('G',' ',n,nrhs,x,ldx,'Solutions',ifail)
Call x04cbf('G','X',nrhs,1,ferr,nrhs,'1PE8.1','Estimated Forward Error', &
'N',rlabs,'N',clabs,80,0,ifail)
Call x04cbf('G','X',nrhs,1,berr,nrhs,'1PE8.1','Backward Error','N',      &
rlabs,'N',clabs,80,0,ifail)

End Program f11mhfe
```