PROGRAM f11mgfe ! F11MGF Example Program Text ! Mark 23 Release. NAG Copyright 2011. ! .. Use Statements .. USE nag_library, ONLY : f11mdf, f11mef, f11mgf, f11mlf, nag_wp ! .. Implicit None Statement .. IMPLICIT NONE ! .. Parameters .. REAL (KIND=nag_wp), PARAMETER :: one = 1.E0_nag_wp INTEGER, PARAMETER :: nin = 5, nout = 6 ! .. Local Scalars .. REAL (KIND=nag_wp) :: anorm, flop, rcond, thresh INTEGER :: i, ifail, n, nnz, nnzl, nnzu, nzlmx, & nzlumx, nzumx CHARACTER (1) :: norm, spec ! .. Local Arrays .. REAL (KIND=nag_wp), ALLOCATABLE :: a(:), lval(:), uval(:) INTEGER, ALLOCATABLE :: icolzp(:), il(:), iprm(:), & irowix(:), iu(:) ! .. Executable Statements .. WRITE (nout,*) 'F11MGF Example Program Results' ! Skip heading in data file READ (nin,*) ! Read order of matrix READ (nin,*) n ALLOCATE (icolzp(n+1),iprm(7*n)) ! Read the matrix A READ (nin,*) icolzp(1:n+1) nnz = icolzp(n+1) - 1 ALLOCATE (a(nnz),lval(8*nnz),uval(8*nnz),il(7*n+8*nnz+4),irowix(nnz), & iu(2*n+8*nnz+1)) DO i = 1, nnz READ (nin,*) a(i), irowix(i) END DO ! Calculate COLAMD permutation spec = 'M' ! ifail: behaviour on error exit ! =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft ifail = 0 CALL f11mdf(spec,n,icolzp,irowix,iprm,ifail) ! Factorise thresh = one ifail = 0 nzlmx = 8*nnz nzlumx = 8*nnz nzumx = 8*nnz CALL f11mef(n,irowix,a,iprm,thresh,nzlmx,nzlumx,nzumx,il,lval,iu,uval, & nnzl,nnzu,flop,ifail) ! Calculate norm norm = '1' ifail = 0 CALL f11mlf(norm,anorm,n,icolzp,irowix,a,ifail) ! Calculate condition number ifail = 0 CALL f11mgf(norm,n,il,lval,iu,uval,anorm,rcond,ifail) ! Output result WRITE (nout,*) WRITE (nout,*) 'Norm ,Condition number' WRITE (nout,'(F7.3,A1,F7.3)') anorm, ',', 1.0E0_nag_wp/rcond END PROGRAM f11mgfe