Program f07vvfe
! F07VVF Example Program Text
! Mark 30.1 Release. NAG Copyright 2024.
! .. 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 Procedures ..
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