PROGRAM f08mefe ! F08MEF Example Program Text ! Mark 23 Release. NAG Copyright 2011. ! .. Use Statements .. USE nag_library, ONLY : dbdsqr, f06qhf, nag_wp, x04caf ! .. Implicit None Statement .. IMPLICIT NONE ! .. Parameters .. REAL (KIND=nag_wp), PARAMETER :: one = 1.0_nag_wp REAL (KIND=nag_wp), PARAMETER :: zero = 0.0_nag_wp INTEGER, PARAMETER :: nin = 5, nout = 6 ! .. Local Scalars .. INTEGER :: ifail, info, ldc, ldu, ldvt, n CHARACTER (1) :: uplo ! .. Local Arrays .. REAL (KIND=nag_wp), ALLOCATABLE :: c(:,:), d(:), e(:), u(:,:), vt(:,:), & work(:) ! .. Executable Statements .. WRITE (nout,*) 'F08MEF Example Program Results' ! Skip heading in data file READ (nin,*) READ (nin,*) n ldc = 1 ldu = n ldvt = n ALLOCATE (c(ldc,1),d(n),e(n-1),u(ldu,n),vt(ldvt,n),work(4*n)) ! Read B from data file READ (nin,*) d(1:n) READ (nin,*) e(1:n-1) READ (nin,*) uplo ! Initialise U and VT to be the unit matrix CALL f06qhf('General',n,n,zero,one,u,ldu) CALL f06qhf('General',n,n,zero,one,vt,ldvt) ! Calculate the SVD of B ! The NAG name equivalent of dbdsqr is f08mef CALL dbdsqr(uplo,n,n,n,0,d,e,vt,ldvt,u,ldu,c,ldc,work,info) WRITE (nout,*) IF (info>0) THEN WRITE (nout,*) 'Failure to converge.' ELSE ! Print singular values, left & right singular vectors WRITE (nout,*) 'Singular values' WRITE (nout,99999) d(1:n) WRITE (nout,*) FLUSH (nout) ! ifail: behaviour on error exit ! =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft ifail = 0 CALL x04caf('General',' ',n,n,vt,ldvt, & 'Right singular vectors, by row',ifail) WRITE (nout,*) FLUSH (nout) ifail = 0 CALL x04caf('General',' ',n,n,u,ldu, & 'Left singular vectors, by column',ifail) END IF 99999 FORMAT (3X,(8F8.4)) END PROGRAM f08mefe