PROGRAM f04zcfe

!      F04ZCF Example Program Text

!      Mark 23 Release. NAG Copyright 2011.

!      .. Use Statements ..
       USE nag_library, ONLY : f04zcf, f06ubf, nag_wp, zgbtrf, zgbtrs
!      .. Implicit None Statement ..
       IMPLICIT NONE
!      .. Parameters ..
       INTEGER, PARAMETER              :: nin = 5, nout = 6
!      .. Local Scalars ..
       REAL (KIND=nag_wp)              :: anorm, cond, estnrm
       INTEGER                         :: i, icase, ifail, info, j, k, kl, ku, &
                                          lda, ldx, n, nrhs
!      .. Local Arrays ..
       COMPLEX (KIND=nag_wp), ALLOCATABLE :: a(:,:), work(:), x(:,:)
       REAL (KIND=nag_wp)              :: rwork(1)
       INTEGER, ALLOCATABLE            :: ipiv(:)
!      .. Intrinsic Functions ..
       INTRINSIC                          max, min
!      .. Executable Statements ..
       WRITE (nout,*) 'F04ZCF Example Program Results'
!      Skip heading in data file
       READ (nin,*)
       READ (nin,*) n, kl, ku, nrhs
       lda = 2*kl + ku + 1
       ldx = n
       ALLOCATE (a(lda,n),work(n),x(ldx,nrhs),ipiv(n))
       k = kl + ku + 1
       READ (nin,*) ((a(k+i-j,j),j=max(i-kl,1),min(i+ku,n)),i=1,n)

!      First compute the 1-norm of A.
       anorm = f06ubf('1-norm',n,kl,ku,a(kl+1,1),lda,rwork)
       WRITE (nout,*)
       WRITE (nout,99999) 'Computed norm of A =', anorm

!      Next estimate the 1-norm of inverse(A).
!      Factorise A into P*L*U.
!      The NAG name equivalent of zgbtrf is f07brf
       CALL zgbtrf(n,n,kl,ku,a,lda,ipiv,info)

       icase = 0

LOOP:  DO
!         ifail: behaviour on error exit
!                =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
          ifail = 0
          CALL f04zcf(icase,n,x,estnrm,work,ifail)

          IF (icase/=0) THEN
!            The NAG name equivalent of the backsolve routine zgbtrs is f07bsf
             IF (icase==1) THEN
!               Return X := inv(A)*X by solving A*Y = X, overwriting
!               Y on X.
                CALL zgbtrs('No transpose',n,kl,ku,nrhs,a,lda,ipiv,x,ldx,info)
             ELSE IF (icase==2) THEN
!               Return X := conjg(inv(A)')*X by solving conjg(A')*Y
!               = X, overwriting Y on X.
                CALL zgbtrs('Conjugate transpose',n,kl,ku,nrhs,a,lda,ipiv,x, &
                   ldx,info)
             END IF
!         Continue until icase is returned as 0.
          ELSE
             WRITE (nout,99999) 'Estimated norm of inverse(A) =', estnrm
             cond = anorm*estnrm
             WRITE (nout,99998) 'Estimated condition number of A =', cond
             EXIT LOOP
          END IF
       END DO LOOP

99999  FORMAT (1X,A,F8.4)
99998  FORMAT (1X,A,F6.1)
    END PROGRAM f04zcfe