PROGRAM LA_CHESVX_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 => SP USE F95_LAPACK, ONLY: LA_HESVX ! .. IMPLICIT STATEMENT .. IMPLICIT NONE ! .. PARAMETERS .. CHARACTER(LEN=*), PARAMETER :: FMT = '(4(1X,1H(,F7.3,1H,,F7.3,1H):))' INTEGER, PARAMETER :: NIN=5, NOUT=6 ! .. LOCAL SCALARS .. INTEGER :: I, J, INFO, N, NRHS ! .. LOCAL ARRAYS .. REAL(WP) :: RCOND INTEGER, ALLOCATABLE :: IPIV(:) COMPLEX(WP), ALLOCATABLE :: A(:,:), B(:,:), X(:,:), AF(:,:) REAL(WP), ALLOCATABLE :: AA(:,:), BB(:,:), FERR(:), BERR(:) ! .. EXECUTABLE STATEMENTS .. WRITE (NOUT,*) 'CHESV ET_Example Program Results.' READ ( NIN, * ) ! SKIP HEADING IN DATA FILE READ ( NIN, * ) N, NRHS PRINT *, 'N = ', N, ' NRHS = ', NRHS ALLOCATE ( A(N,N), AA(N,N), B(N,NRHS), BB(N,NRHS), IPIV(N), X(N,NRHS), AF(N,N), & FERR(NRHS), BERR(NRHS) ) ! AA = HUGE(1.0_WP) DO I = 1, N READ (NIN, *) AA(I,I:N) ENDDO DO J = 1, NRHS DO I = 1, N BB(I,J) = ( SUM( AA(I,I:N) ) + SUM( AA(1:I-1,I) ) )*J ENDDO ENDDO A=AA; B=BB WRITE(NOUT,*) 'The matrix A:' DO I = 1, N WRITE (NOUT,*) 'I = ', I; WRITE (NOUT,FMT) A(I,:) ENDDO WRITE(NOUT,*) 'The RHS matrix B:' DO J = 1, NRHS WRITE (NOUT,*) 'RHS', J; WRITE (NOUT,FMT) B(:,J) ENDDO ! WRITE ( NOUT, * )'---------------------------------------------------------' WRITE ( NOUT, * ) WRITE ( NOUT, * )'Details of LA_CHESVX LAPACK Subroutine Results.' WRITE ( NOUT, * ) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HESVX( A, B, X, AF=AF, IPIV=IPIV, INFO=INFO )' A=AA; B=BB CALL LA_HESVX( A, B, X, AF=AF, IPIV=IPIV, INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HESVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) 'Pivots: ', IPIV ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HESVX( A, B(1:N,1), X(1:N,1), AF=AF, IPIV=IPIV, INFO=INFO )' A=AA; B=BB CALL LA_HESVX( A, B(1:N,1), X(1:N,1), AF=AF, IPIV=IPIV, INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HESVX, INFO = ', INFO WRITE (NOUT,FMT) X(:,1) WRITE(NOUT,*) 'Pivots: ', IPIV ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HESVX( A, B, X )' A=AA; B=BB CALL LA_HESVX( A, B, X ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HESVX:' DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HESVX(A, B(1:N,1), X(1:N,1) )' A=AA; B=BB CALL LA_HESVX(A, B(1:N,1), X(1:N,1) ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HESVX:' WRITE (NOUT,FMT) X(:,1) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HESVX(A, B, X, IPIV=IPIV)' A=AA; B=BB CALL LA_HESVX( A, B, X, IPIV=IPIV) WRITE(NOUT,*)' X - the solution vectors computed by LA_HESVX:' DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) 'Pivots: ', IPIV ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HESVX( A, B(1:N,1), X(1:N,1), IPIV=IPIV )' A=AA; B=BB CALL LA_HESVX( A, B(1:N,1), X(1:N,1), IPIV=IPIV ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HESVX:' WRITE (NOUT,FMT) X(1:N,1) WRITE(NOUT,*) 'Pivots: ', IPIV ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HESVX(A(4:4,:), B, X, INFO =INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_HESVX( A(4:4,:), B, X, INFO=INFO) WRITE(NOUT,*)' X - the solution vectors computed by LA_HESVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HESVX( A, B(1:N,1), X(1:N-1,1), INFO=INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_HESVX( A, B(1:N,1), X(1:N-1,1), INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HESVX, INFO = ', INFO WRITE (NOUT,FMT) X(1:N,1) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HESVX(A, B, X, ''L'', INFO =INFO )' A=TRANSPOSE(AA); B=BB; X=HUGE(1.0_WP) CALL LA_HESVX( A, B, X, 'L', INFO=INFO) WRITE(NOUT,*)' X - the solution vectors computed by LA_HESVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HESVX( A, B(1:N,1), X(1:N,1), FACT=''F'', INFO=INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_HESVX( A, B(1:N,1), X(1:N,1), FACT='F', INFO=INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HESVX, INFO = ', INFO WRITE (NOUT,FMT) X(1:N,1) ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HESVX(A, B, X, ''U'', AF, IPIV, ''N'', ', & 'FERR, BERR, RCOND, INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_HESVX(A, B, X, 'U', AF, IPIV, 'N', FERR, BERR, RCOND, INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HESVX, INFO = ', INFO DO J = 1, NRHS; WRITE (NOUT,FMT) X(:,J); END DO WRITE(NOUT,*) 'RCOND = ', RCOND ! WRITE(NOUT,*) WRITE(NOUT,*) 'CALL LA_HESVX(A, B(1:N,1), X(1:N,1), ''U'', AF, IPIV, ''F'', ', & 'FERR, BERR, &' WRITE(NOUT,*) ' RCOND, INFO )' A=AA; B=BB; X=HUGE(1.0_WP) CALL LA_HESVX(A, B(1:N,1), X(1:N,1), 'U', AF, IPIV, 'F', & FERR(1), BERR(1), RCOND, INFO ) WRITE(NOUT,*)' X - the solution vectors computed by LA_HESVX, INFO = ', INFO WRITE (NOUT,FMT) X(1:N,1) WRITE(NOUT,*) 'RCOND = ', RCOND ! END PROGRAM LA_CHESVX_ET_EXAMPLE