Program f04cbfe
! F04CBF Example Program Text
! Mark 29.0 Release. NAG Copyright 2023.
! .. Use Statements ..
Use nag_library, Only: f04cbf, nag_wp, x04dbf, x04dff
! .. Implicit None Statement ..
Implicit None
! .. Parameters ..
Integer, Parameter :: nin = 5, nout = 6
! .. Local Scalars ..
Real (Kind=nag_wp) :: errbnd, rcond
Integer :: i, ierr, ifail, j, k, kl, ku, ldab, &
ldb, n, nrhs
! .. Local Arrays ..
Complex (Kind=nag_wp), Allocatable :: ab(:,:), b(:,:)
Integer, Allocatable :: ipiv(:)
Character (1) :: clabs(1), rlabs(1)
! .. Intrinsic Procedures ..
Intrinsic :: max, min
! .. Executable Statements ..
Write (nout,*) 'F04CBF Example Program Results'
Write (nout,*)
Flush (nout)
! Skip heading in data file
Read (nin,*)
Read (nin,*) n, kl, ku, nrhs
ldab = 2*kl + ku + 1
ldb = n
Allocate (ab(ldab,n),b(ldb,nrhs),ipiv(n))
! Read A and B from data file
k = kl + ku + 1
Read (nin,*)((ab(k+i-j,j),j=max(i-kl,1),min(i+ku,n)),i=1,n)
Read (nin,*)(b(i,1:nrhs),i=1,n)
! Solve the equations AX = B for X
! ifail: behaviour on error exit
! =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
ifail = 1
Call f04cbf(n,kl,ku,nrhs,ab,ldab,ipiv,b,ldb,rcond,errbnd,ifail)
If (ifail==0) Then
! Print solution, estimate of condition number and approximate
! error bound
ierr = 0
Call x04dbf('General',' ',n,nrhs,b,ldb,'Bracketed','F7.4','Solution', &
'Integer',rlabs,'Integer',clabs,80,0,ierr)
Write (nout,*)
Write (nout,*) 'Estimate of condition number'
Write (nout,99999) 1.0E0_nag_wp/rcond
Write (nout,*)
Write (nout,*) 'Estimate of error bound for computed solutions'
Write (nout,99999) errbnd
Else If (ifail==n+1) Then
! Matrix A is numerically singular. Print estimate of
! reciprocal of condition number and solution
Write (nout,*)
Write (nout,*) 'Estimate of reciprocal of condition number'
Write (nout,99999) rcond
Write (nout,*)
Flush (nout)
ierr = 0
Call x04dbf('General',' ',n,nrhs,b,ldb,'Bracketed','F7.4','Solution', &
'Integer',rlabs,'Integer',clabs,80,0,ierr)
Else If (ifail>0 .And. ifail<=n) Then
! The upper triangular matrix U is exactly singular. Print
! details of factorization
Write (nout,*)
Flush (nout)
ierr = 0
Call x04dff(n,n,kl,kl+ku,ab,ldab,'Bracketed','F7.4', &
'Details of factorization','None',rlabs,'None',clabs,80,0,ierr)
! Print pivot indices
Write (nout,*)
Write (nout,*) 'Pivot indices'
Write (nout,99998) ipiv(1:n)
Else
Write (nout,99997) ifail
End If
99999 Format (4X,1P,E9.1)
99998 Format ((1X,7I11))
99997 Format (1X,' ** F04CBF returned with IFAIL = ',I5)
End Program f04cbfe