Program f07apfe ! F07APF Example Program Text ! Mark 24 Release. NAG Copyright 2012. ! .. Use Statements .. Use nag_library, Only: nag_wp, x04dbf, zgesvx ! .. Implicit None Statement .. Implicit None ! .. Parameters .. Integer, Parameter :: nin = 5, nout = 6 ! .. Local Scalars .. Real (Kind=nag_wp) :: rcond Integer :: i, ifail, info, lda, ldaf, ldb, ldx, & n, nrhs Character (1) :: equed ! .. Local Arrays .. Complex (Kind=nag_wp), Allocatable :: a(:,:), af(:,:), b(:,:), work(:), & x(:,:) Real (Kind=nag_wp), Allocatable :: berr(:), c(:), ferr(:), r(:), rwork(:) Integer, Allocatable :: ipiv(:) Character (1) :: clabs(1), rlabs(1) ! .. Executable Statements .. Write (nout,*) 'F07APF Example Program Results' Write (nout,*) Flush (nout) ! Skip heading in data file Read (nin,*) Read (nin,*) n, nrhs lda = n ldaf = n ldb = n ldx = n Allocate (a(lda,n),af(ldaf,n),b(ldb,nrhs),work(2*n),x(ldx,nrhs), & berr(nrhs),c(n),ferr(nrhs),r(n),rwork(2*n),ipiv(n)) ! Read A and B from data file Read (nin,*)(a(i,1:n),i=1,n) Read (nin,*)(b(i,1:nrhs),i=1,n) ! Solve the equations AX = B for X ! The NAG name equivalent of zgesvx is f07apf Call zgesvx('Equilibrate','No transpose',n,nrhs,a,lda,af,ldaf,ipiv, & equed,r,c,b,ldb,x,ldx,rcond,ferr,berr,work,rwork,info) If ((info==0) .Or. (info==n+1)) Then ! Print solution, error bounds, condition number, the form ! of equilibration and the pivot growth factor ! 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,*) Write (nout,*) 'Estimated forward error bounds (machine-dependent)' Write (nout,99999) ferr(1:nrhs) Write (nout,*) If (equed=='N') Then Write (nout,*) 'A has not been equilibrated' Else If (equed=='R') Then Write (nout,*) 'A has been row scaled as diag(R)*A' Else If (equed=='C') Then Write (nout,*) 'A has been column scaled as A*diag(C)' Else If (equed=='B') Then Write (nout,*) & 'A has been row and column scaled as diag(R)*A*diag(C)' End If Write (nout,*) Write (nout,*) 'Reciprocal condition number estimate of scaled matrix' Write (nout,99999) rcond Write (nout,*) Write (nout,*) 'Estimate of reciprocal pivot growth factor' Write (nout,99999) rwork(1) If (info==n+1) Then Write (nout,*) Write (nout,*) 'The matrix A is singular to working precision' End If Else Write (nout,99998) 'The (', info, ',', info, ')', & ' element of the factor U is zero' End If 99999 Format ((3X,1P,7E11.1)) 99998 Format (1X,A,I3,A,I3,A,A) End Program f07apfe