PROGRAM LA_GGEV_EXAMPLE ! -- LAPACK95 EXAMPLE DRIVER ROUTINE (VERSION 1.0) -- ! UNI-C, DENMARK ! DECEMBER, 1999 ! ! .. "Use Statements" .. USE LA_PRECISION, ONLY: WP => SP USE F95_LAPACK, ONLY: LA_GGEV ! .. "Implicit Statement" .. IMPLICIT NONE ! .. "Local Scalars" .. INTEGER :: I, J, INFO, N ! .. "Local Arrays" .. COMPLEX(WP), ALLOCATABLE :: A(:,:), AA(:,:), B(:,:), BB(:,:), ALPHA(:) COMPLEX(WP), ALLOCATABLE :: VL(:,:), VR(:,:), BETA(:) REAL(WP), ALLOCATABLE :: AR(:,:), BR(:,:), ALPHAR(:), ALPHAI(:), BETAR(:), & VLR(:,:), VRR(:,:) ! .. "Executable Statements" .. WRITE (*,*) 'LA_GGEV Example Program Results' N = 5 ALLOCATE( A(N,N), AA(N,N), B(N,N), BB(N,N), ALPHA(N), BETA(N), VL(N,N), VR(N,N) ) ALLOCATE( AR(N,N), BR(N,N), ALPHAR(N), ALPHAI(N), BETAR(N), VLR(N,N), VRR(N,N) ) WRITE (*,*) 'Example 1, Real Example' OPEN(UNIT=21,FILE='gges.ma',STATUS='UNKNOWN') DO J=1,N DO I=1,N READ(21,*) AR(I,J) ENDDO ENDDO CLOSE(21) WRITE(*,*)'Matrix AR : ' DO I=1,N; WRITE(*,"(5(I3,1X))") INT(AR(I,:)); ENDDO OPEN(UNIT=21,FILE='gges.mb',STATUS='UNKNOWN') DO J=1,N DO I=1,N READ(21,*) BR(I,J) ENDDO ENDDO CLOSE(21) WRITE(*,*)'Matrix BR : ' DO I=1,N; WRITE(*,"(5(I3,1X))") INT(BR(I,:)); ENDDO WRITE(*,*) WRITE(*,*) 'CALL LA_GGEV( A, B, ALPHAR, ALPHAI, BETAR, VLR, VRR )' CALL LA_GGEV( AR, BR, ALPHAR, ALPHAI, BETAR, VLR, VRR ) WRITE(*,*); WRITE(*,*)'ALPHAR on exit : '; WRITE(*,*) ALPHAR(1:N) WRITE(*,*); WRITE(*,*)'ALPHAI on exit : '; WRITE(*,*) ALPHAI(1:N) WRITE(*,*); WRITE(*,*)'BETA on exit : '; WRITE(*,*) BETAR(1:N) WRITE(*,*)'Array VL:'; DO I =1,N; WRITE(*,*)I, VLR(I,1:N); ENDDO WRITE(*,*)'Array VR:'; DO I =1,N; WRITE(*,*)I, VRR(I,1:N); ENDDO WRITE(*,*) WRITE(*,*)' Generalized eigenvalues : ' DO I=1,N WRITE(*,*) '(',ALPHAR(I)/BETAR(I),',',ALPHAI(I)/BETAR(I),')' ENDDO WRITE (*,*) 'Example 2, Complex Example' OPEN(UNIT=21,FILE='ggev.ma',STATUS='UNKNOWN') DO J=1,N DO I=1,N READ(21,*) A(I,J) ENDDO ENDDO CLOSE(21) AA=A WRITE(*,*)'Matrix A : ' DO I=1,N WRITE(*,"(5('('(I3,1X,',',I3)')',1X,1X))") INT(A(I,:)), INT(AIMAG(A(I,:))) ENDDO OPEN(UNIT=21,FILE='ggev.mb',STATUS='UNKNOWN') DO J=1,N DO I=1,N READ(21,*) B(I,J) ENDDO ENDDO CLOSE(21) BB=B WRITE(*,*)'Matrix B : ' DO I=1,N WRITE(*,"(5('('(I3,1X,',',I3)')',1X,1X))") INT(B(I,:)), INT(AIMAG(B(I,:))) ENDDO WRITE(*,*) WRITE(*,*) 'CALL LA_GGEV( A, B, ALPHA, BETA, INFO=INFO )' CALL LA_GGEV( A, B, ALPHA, BETA, INFO=INFO ) WRITE(*,*) WRITE(*,*)'ALPHA on exit : ' DO I=1,N WRITE(*,*) ALPHA(I) ENDDO WRITE(*,*) WRITE(*,*)'BETA on exit : ' DO I=1,N WRITE(*,*) BETA(I) ENDDO WRITE(*,*) WRITE(*,*)'INFO = ', INFO WRITE(*,*) WRITE(*,*)' Generalized eigenvalues : ' DO I=1,N WRITE(*,*) ALPHA(I)/BETA(I) ENDDO WRITE(*,*) ! WRITE(*,*)' * EXAMPLE 2 * ' WRITE(*,*) 'CALL LA_GGEV( A, B, ALPHAR, ALPHAI, BETA, VL, VR )' CALL LA_GGEV( A, B, ALPHA, BETA, VL, VR ) WRITE(*,*) WRITE(*,*)'Matrix VL on exit : ' DO I=1,N; WRITE(*,"(5('('(F8.5,1X,',',F8.5)')'))") REAL(VL(I,:)), AIMAG(VL(I,:)) ENDDO WRITE(*,*) WRITE(*,*)'Matrix VR on exit : ' DO I=1,N; WRITE(*,"(5('('(F8.5,1X,',',F8.5)')'))") REAL(VR(I,:)), AIMAG(VR(I,:)) ENDDO END PROGRAM LA_GGEV_EXAMPLE