PROGRAM f07gufe ! F07GUF Example Program Text ! Mark 23 Release. NAG Copyright 2011. ! .. Use Statements .. USE nag_library, ONLY : nag_wp, x02ajf, zlanhp => f06udf, zppcon, zpptrf ! .. Implicit None Statement .. IMPLICIT NONE ! .. Parameters .. INTEGER, PARAMETER :: nin = 5, nout = 6 ! .. Local Scalars .. REAL (KIND=nag_wp) :: anorm, rcond INTEGER :: i, info, j, n CHARACTER (1) :: uplo ! .. Local Arrays .. COMPLEX (KIND=nag_wp), ALLOCATABLE :: ap(:), work(:) REAL (KIND=nag_wp), ALLOCATABLE :: rwork(:) ! .. Executable Statements .. WRITE (nout,*) 'F07GUF Example Program Results' ! Skip heading in data file READ (nin,*) READ (nin,*) n ALLOCATE (ap(n*(n+1)/2),work(2*n),rwork(n)) ! Read A from data file READ (nin,*) uplo 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 ! Compute norm of A ! f06udf is the NAG name equivalent of the LAPACK auxiliary zlanhp anorm = zlanhp('1-norm',uplo,n,ap,rwork) ! Factorize A ! The NAG name equivalent of zpptrf is f07grf CALL zpptrf(uplo,n,ap,info) WRITE (nout,*) IF (info==0) THEN ! Estimate condition number ! The NAG name equivalent of zppcon is f07guf CALL zppcon(uplo,n,ap,anorm,rcond,work,rwork,info) IF (rcond>=x02ajf()) THEN WRITE (nout,99999) 'Estimate of condition number =', & 1.0_nag_wp/rcond ELSE WRITE (nout,*) 'A is singular to working precision' END IF ELSE WRITE (nout,*) 'A is not positive definite' END IF 99999 FORMAT (1X,A,1P,E10.2) END PROGRAM f07gufe