Program f11dcfe
! F11DCF Example Program Text
! Mark 30.0 Release. NAG Copyright 2024.
! .. Use Statements ..
Use nag_library, Only: f11daf, f11dcf, nag_wp
! .. Implicit None Statement ..
Implicit None
! .. Parameters ..
Integer, Parameter :: nin = 5, nout = 6
! .. Local Scalars ..
Real (Kind=nag_wp) :: dtol, rnorm, tol
Integer :: i, ifail, itn, la, lfill, liwork, &
lwork, m, maxitn, n, nnz, nnzc, &
npivm
Character (8) :: method
Character (1) :: milu, pstrat
! .. Local Arrays ..
Real (Kind=nag_wp), Allocatable :: a(:), b(:), work(:), x(:)
Integer, Allocatable :: icol(:), idiag(:), ipivp(:), &
ipivq(:), irow(:), istr(:), iwork(:)
! .. Intrinsic Procedures ..
Intrinsic :: max
! .. Executable Statements ..
Write (nout,*) 'F11DCF Example Program Results'
Write (nout,*)
! Skip heading in data file
Read (nin,*)
! Read algorithmic parameters
Read (nin,*) n, m
Read (nin,*) nnz
la = 3*nnz
liwork = 7*n + 2
lwork = max(4*n+m*(m+n+5)+101,8*n+100,2*n*(m+3)+m*(m+2)+100,11*n+100)
Allocate (a(la),b(n),work(lwork),x(n),icol(la),idiag(n),ipivp(n), &
ipivq(n),irow(la),istr(n+1),iwork(liwork))
Read (nin,*) method
Read (nin,*) lfill, dtol
Read (nin,*) pstrat
Read (nin,*) milu
Read (nin,*) tol, maxitn
! Read the matrix A
Do i = 1, nnz
Read (nin,*) a(i), irow(i), icol(i)
End Do
! Read right-hand side vector b and initial approximate solution x
Read (nin,*) b(1:n)
Read (nin,*) x(1:n)
! Calculate incomplete LU factorization
! ifail: behaviour on error exit
! =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
ifail = 0
Call f11daf(n,nnz,a,la,irow,icol,lfill,dtol,pstrat,milu,ipivp,ipivq, &
istr,idiag,nnzc,npivm,iwork,liwork,ifail)
! Solve Ax = b using F11DCF
ifail = 0
Call f11dcf(method,n,nnz,a,la,irow,icol,ipivp,ipivq,istr,idiag,b,m,tol, &
maxitn,x,rnorm,itn,work,lwork,ifail)
Write (nout,99999) itn
If (rnorm<tol) Then
Write (nout,99996) tol
Else
Write (nout,99998) rnorm
End If
Write (nout,*)
! Output solution, x
Write (nout,*) ' Solution'
Write (nout,99997) x(1:n)
99999 Format (1X,' Converged in',I4,' iterations')
99998 Format (1X,' Final residual norm =',1P,E15.2)
99997 Format (1X,1P,E16.3)
99996 Format (1X,' Final residual norm < tolerance (',1P,E10.3,')')
End Program f11dcfe