PROGRAM f07vvfe ! F07VVF Example Program Text ! Mark 23 Release. NAG Copyright 2011. ! .. Use Statements .. USE nag_library, ONLY : nag_wp, x04dbf, ztbrfs, ztbtrs ! .. Implicit None Statement .. IMPLICIT NONE ! .. Parameters .. INTEGER, PARAMETER :: nin = 5, nout = 6 CHARACTER (1), PARAMETER :: diag = 'N', trans = 'N' ! .. Local Scalars .. INTEGER :: i, ifail, info, j, kd, ldab, ldb, & ldx, n, nrhs CHARACTER (1) :: uplo ! .. Local Arrays .. COMPLEX (KIND=nag_wp), ALLOCATABLE :: ab(:,:), b(:,:), work(:), x(:,:) REAL (KIND=nag_wp), ALLOCATABLE :: berr(:), ferr(:), rwork(:) CHARACTER (1) :: clabs(1), rlabs(1) ! .. Intrinsic Functions .. INTRINSIC max, min ! .. Executable Statements .. WRITE (nout,*) 'F07VVF Example Program Results' ! Skip heading in data file READ (nin,*) READ (nin,*) n, kd, nrhs ldab = kd + 1 ldb = n ldx = n ALLOCATE (ab(ldab,n),b(ldb,nrhs),work(2*n),x(ldx,n),berr(nrhs), & ferr(nrhs),rwork(n)) ! Read A and B from data file, and copy B to X READ (nin,*) uplo IF (uplo=='U') THEN DO i = 1, n READ (nin,*) (ab(kd+1+i-j,j),j=i,min(n,i+kd)) END DO ELSE IF (uplo=='L') THEN DO i = 1, n READ (nin,*) (ab(1+i-j,j),j=max(1,i-kd),i) END DO END IF READ (nin,*) (b(i,1:nrhs),i=1,n) x(1:n,1:nrhs) = b(1:n,1:nrhs) ! Compute solution in the array X ! The NAG name equivalent of ztbtrs is f07vsf CALL ztbtrs(uplo,trans,diag,n,kd,nrhs,ab,ldab,x,ldx,info) ! Compute backward errors and estimated bounds on the ! forward errors ! The NAG name equivalent of ztbrfs is f07vvf CALL ztbrfs(uplo,trans,diag,n,kd,nrhs,ab,ldab,b,ldb,x,ldx,ferr,berr, & work,rwork,info) ! Print solution WRITE (nout,*) FLUSH (nout) ! ifail: behaviour on error exit ! =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft ifail = 0 CALL x04dbf('General',' ',n,nrhs,x,ldx,'Bracketed','F7.4', & 'Solution(s)','Integer',rlabs,'Integer',clabs,80,0,ifail) WRITE (nout,*) WRITE (nout,*) 'Backward errors (machine-dependent)' WRITE (nout,99999) berr(1:nrhs) WRITE (nout,*) 'Estimated forward error bounds (machine-dependent)' WRITE (nout,99999) ferr(1:nrhs) 99999 FORMAT ((5X,1P,4(E11.1,7X))) END PROGRAM f07vvfe