Program f07bnfe
! F07BNF Example Program Text
! Mark 26.2 Release. NAG Copyright 2017.
! .. Use Statements ..
Use nag_library, Only: nag_wp, x04dff, zgbsv
! .. Implicit None Statement ..
Implicit None
! .. Parameters ..
Integer, Parameter :: nin = 5, nout = 6
! .. Local Scalars ..
Integer :: i, ifail, info, j, k, kl, ku, ldab, &
n
! .. 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,*) 'F07BNF Example Program Results'
Write (nout,*)
! Skip heading in data file
Read (nin,*)
Read (nin,*) n, kl, ku
ldab = 2*kl + ku + 1
Allocate (ab(ldab,n),b(n),ipiv(n))
! Read the band matrix A and the right hand side 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(1:n)
! Solve the equations Ax = b for x
! The NAG name equivalent of zgbsv is f07bnf
Call zgbsv(n,kl,ku,1,ab,ldab,ipiv,b,n,info)
If (info==0) Then
! Print solution
Write (nout,*) 'Solution'
Write (nout,99999) b(1:n)
! Print details of the factorization
Write (nout,*)
Flush (nout)
! ifail: behaviour on error exit
! =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
ifail = 0
Call x04dff(n,n,kl,kl+ku,ab,ldab,'Bracketed','F7.4', &
'Details of factorization','None',rlabs,'None',clabs,80,0,ifail)
! Print pivot indices'
Write (nout,*)
Write (nout,*) 'Pivot indices'
Write (nout,99998) ipiv(1:n)
Else
Write (nout,99997) 'The (', info, ',', info, ')', &
' element of the factor U is zero'
End If
99999 Format ((3X,4(' (',F7.4,',',F7.4,')',:)))
99998 Format (1X,I5,3I18)
99997 Format (1X,A,I3,A,I3,A,A)
End Program f07bnfe