PROGRAM LA_DGEESX_ET_EXAMPLE ! ! -- LAPACK95 interface driver routine (version 3.0) -- ! UNI-C, Denmark; Univ. of Tennessee, USA; NAG Ltd., UK ! September, 2000 ! ! .. USE STATEMENTS USE LA_PRECISION, ONLY: WP => DP USE F95_LAPACK, ONLY: LA_GEESX ! .. IMPLICIT STATEMENT .. IMPLICIT NONE INTERFACE LOGICAL FUNCTION SELECT(WR, WI) USE LA_PRECISION, ONLY: WP => DP REAL(WP), INTENT(IN) :: WR, WI END FUNCTION SELECT END INTERFACE ! .. PARAMETERS .. CHARACTER(LEN=*), PARAMETER :: FMT = '(8(1X,F10.3))' INTEGER, PARAMETER :: NIN=5, NOUT=6 ! .. LOCAL SCALARS .. INTEGER :: I, INFO, N, SDIM REAL(WP) :: RCONDE, RCONDV ! .. LOCAL ARRAYS .. REAL(WP), ALLOCATABLE :: AA(:,:) REAL(WP), ALLOCATABLE :: A(:,:), VS(:,:), DUMMY(:,:) REAL(WP), ALLOCATABLE :: WR(:), WI(:) ! .. EXECUTABLE STATEMENTS .. WRITE (NOUT,*) 'DGEESX ET_Example Program Results.' READ ( NIN, * ) ! SKIP HEADING IN DATA FILE READ ( NIN, * ) N PRINT *, 'N = ', N ALLOCATE ( A(N,N), AA(N,N), VS(N,N) ) ALLOCATE ( WR(N), WI(N) ) ! READ (NIN, *) AA A=AA WRITE(NOUT,*) 'The matrix A:' DO I = 1, N; WRITE (NOUT,*) 'I = ', I; WRITE (NOUT,FMT) A(I,:); ENDDO ! WRITE ( NOUT, * )'---------------------------------------------------------' WRITE ( NOUT, * ) WRITE ( NOUT, * )'Details of LA_DGEESX LAPACK Subroutine Results.' WRITE ( NOUT, * ) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( A, WR, WI, VS, SELECT, SDIM, RCONDE, RCONDV, INFO )' A=AA CALL LA_GEESX( A, WR, WI, VS, SELECT, SDIM, RCONDE, RCONDV, INFO ) WRITE(NOUT,*) 'INFO = ', INFO, ' SDIM = ', SDIM, ' RCONDE = ', RCONDE, & ' RCONDV = ', RCONDV WRITE(NOUT,*) ' Eigenvalues:' WRITE(NOUT,FMT) WR WRITE(NOUT,FMT) WI WRITE(NOUT,*) 'Schur vectors:' DO I = 1, N; WRITE(NOUT,*) 'I = ', I; WRITE (NOUT,FMT) VS(:,I); END DO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( A, WR, WI, SELECT=SELECT, RCONDE=RCONDE, RCONDV=RCONDV )' A=AA; VS = HUGE(1.0_WP) CALL LA_GEESX( A, WR, WI, SELECT=SELECT, RCONDE=RCONDE, RCONDV=RCONDV ) WRITE(NOUT,*) 'RCONDE = ', RCONDE, ' RCONDV = ', RCONDV, ' Eigenvalues:' WRITE(NOUT,FMT) WR WRITE(NOUT,FMT) WI ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( A, WR, WI, VS )' A=AA; VS = HUGE(1.0_WP) CALL LA_GEESX( A, WR, WI, VS ) WRITE(NOUT,*) 'INFO = ', INFO, ' Eigenvalues:' WRITE(NOUT,FMT) WR WRITE(NOUT,FMT) WI WRITE(NOUT,*) 'Schur vectors:' DO I = 1, N; WRITE(NOUT,*) 'I = ', I; WRITE (NOUT,FMT) VS(:,I); END DO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( A, WR, WI, SELECT=SELECT, SDIM=SDIM, INFO=INFO )' A=AA CALL LA_GEESX( A, WR, WI, SELECT=SELECT, SDIM = SDIM, INFO = INFO ) WRITE(NOUT,*) 'INFO = ', INFO, ' SDIM = ', SDIM, ' Eigenvalues:' WRITE(NOUT,FMT) WR WRITE(NOUT,FMT) WI ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( A, WR, WI )' A=AA CALL LA_GEESX( A, WR, WI ) WRITE(NOUT,*) 'INFO = ', INFO, ' Eigenvalues:' WRITE(NOUT,FMT) WR WRITE(NOUT,FMT) WI ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( DUMMY, WR, WI, VS, SELECT, SDIM, INFO=INFO )' A=AA CALL LA_GEESX( DUMMY, WR, WI, VS, SELECT, SDIM, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( A, WR(1:N-1), WI, VS, SELECT, SDIM, INFO=INFO )' A=AA CALL LA_GEESX( A, WR(1:N-1), WI, VS, SELECT, SDIM, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( A, WR, WI(1:N-1), VS, SELECT, SDIM, INFO=INFO )' A=AA CALL LA_GEESX( A, WR, WI(1:N-1), VS, SELECT, SDIM, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( A, WR, WI, VS(1:N-1,:), SELECT, SDIM, INFO=INFO )' A=AA CALL LA_GEESX( A, WR, WI, VS(1:N-1,:), SELECT, SDIM, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( A, WR, WI, VS(:,1:N-1), SELECT, SDIM, INFO=INFO )' A=AA CALL LA_GEESX( A, WR, WI, VS(:,1:N-1), SELECT, SDIM, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( A, WR, WI, VS, SDIM=SDIM, INFO=INFO )' A=AA CALL LA_GEESX( A, WR, WI, VS, SDIM=SDIM, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( A, WR, WI, RCONDE=RCONDE, INFO=INFO )' A=AA CALL LA_GEESX( A, WR, WI, RCONDE=RCONDE, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( A, WR, WI, RCONDV=RCONDV, INFO=INFO )' A=AA CALL LA_GEESX( A, WR, WI, RCONDV=RCONDV, INFO=INFO ) WRITE(NOUT,*) 'INFO = ', INFO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_GEESX( A, WR, WI, RCONDE=RCONDE, RCONDV=RCONDV )' A=AA CALL LA_GEESX( A, WR, WI, RCONDE=RCONDE, RCONDV=RCONDV ) WRITE(NOUT,*) 'INFO = ', INFO ! END PROGRAM LA_DGEESX_ET_EXAMPLE ! CONTAINS LOGICAL FUNCTION SELECT(WR, WI) USE LA_PRECISION, ONLY: WP => DP REAL(WP), INTENT(IN) :: WR, WI IF( WR > 0.0_WP ) THEN; SELECT = .TRUE. ELSE; SELECT = .FALSE.; END IF END FUNCTION SELECT