PROGRAM f08gqfe ! F08GQF Example Program Text ! Mark 23 Release. NAG Copyright 2011. ! .. Use Statements .. USE nag_library, ONLY : nag_wp, x04daf, zhpevd ! .. Implicit None Statement .. IMPLICIT NONE ! .. Parameters .. INTEGER, PARAMETER :: nin = 5, nout = 6 ! .. Local Scalars .. INTEGER :: i, ifail, info, j, ldz, liwork, & lrwork, lwork, n CHARACTER (1) :: job, uplo ! .. Local Arrays .. COMPLEX (KIND=nag_wp), ALLOCATABLE :: ap(:), work(:), z(:,:) REAL (KIND=nag_wp), ALLOCATABLE :: rwork(:), w(:) INTEGER, ALLOCATABLE :: iwork(:) ! .. Executable Statements .. WRITE (nout,*) 'F08GQF Example Program Results' ! Skip heading in data file READ (nin,*) READ (nin,*) n ldz = n liwork = 5*n + 3 lrwork = 2*n*n + 5*n + 1 lwork = 2*n ALLOCATE (ap(n*(n+1)/2),work(lwork),z(ldz,n),rwork(lrwork),w(n),iwork( & liwork)) READ (nin,*) uplo ! Read A from data file IF (uplo=='U') THEN READ (nin,*) ((ap(i+j*(j-1)/2),j=i,n),i=1,n) ELSE IF (uplo=='L') THEN READ (nin,*) ((ap(i+(2*n-j)*(j-1)/2),j=1,i),i=1,n) END IF READ (nin,*) job ! Calculate all the eigenvalues and eigenvectors of A ! The NAG name equivalent of zhpevd is f08gqf CALL zhpevd(job,uplo,n,ap,w,z,ldz,work,lwork,rwork,lrwork,iwork,liwork, & info) WRITE (nout,*) IF (info>0) THEN WRITE (nout,*) 'Failure to converge.' ELSE ! Print eigenvalues and eigenvectors WRITE (nout,*) 'Eigenvalues' DO i = 1, n WRITE (nout,99999) i, w(i) END DO WRITE (nout,*) FLUSH (nout) ! Normalize the eigenvectors DO i = 1, n z(1:n,i) = z(1:n,i)/z(1,i) END DO ! ifail: behaviour on error exit ! =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft ifail = 0 CALL x04daf('General',' ',n,n,z,ldz,'Eigenvectors',ifail) END IF 99999 FORMAT (3X,I5,5X,2F8.4) END PROGRAM f08gqfe