* QR UPDATE EXAMPLE PROGRAM TEXT * * .. Parameters .. IMPLICIT NONE DOUBLE PRECISION ZERO, ONE, TWO PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0, TWO = 2.0D0 ) INTEGER NIN, NOUT PARAMETER ( NIN = 5, NOUT = 6 ) INTEGER MMAX, NMAX PARAMETER ( MMAX = 200, NMAX = 100 ) INTEGER LDA, LDB, LDQ, LDWORK PARAMETER ( LDA = NMAX, LDB = MMAX, LDQ = MMAX+NMAX, $ LDWORK = 64*NMAX ) * .. Local Scalars .. INTEGER I, INFO, J, M, N * .. Local Arrays .. DOUBLE PRECISION A(LDA, NMAX), B(LDB, NMAX), Q(LDQ,MMAX+NMAX), $ DWORK(LDWORK), TAU(NMAX) * .. External Subroutines .. EXTERNAL DBQRU, ZLASET * .. Executable Statements .. WRITE ( NOUT, FMT = 99999 ) * Skip the heading in the data file and read the data. READ ( NIN, FMT = '()' ) READ ( NIN, FMT = * ) M, N IF( M.LE.0 .OR. M.GT.MMAX ) THEN WRITE ( NOUT, FMT = 99991 ) M ELSE IF( N.LE.0 .OR. N.GT.NMAX ) THEN WRITE ( NOUT, FMT = 99992 ) N ELSE READ ( NIN, FMT = * ) ( ( A(I,J), J = 1,N ), I = 1,N ) READ ( NIN, FMT = * ) ( ( B(I,J), J = 1,N ), I = 1,M ) CALL DBQRU( M, N, A, LDA, B, LDB, TAU, DWORK, LDWORK, INFO ) IF ( INFO.NE.0 ) THEN WRITE ( NOUT, FMT = 99998 ) INFO ELSE WRITE ( NOUT, FMT = 99996 ) DO 10 I = 1, N WRITE (NOUT, FMT = 99993) ( A(I,J), J = 1,N ) 10 CONTINUE CALL DLASET( 'All', M+N, M+N, ZERO, ONE, Q, LDQ ) CALL DBQRU_APPQ( 'Right', 'N', M+N, M, N, B, LDB, TAU, $ Q, LDQ, Q(1,N+1), LDQ, DWORK, LDWORK, $ INFO ) IF ( INFO.NE.0 ) THEN WRITE ( NOUT, FMT = 99997 ) INFO ELSE WRITE ( NOUT, FMT = 99995 ) DO 20 I = 1, M+N WRITE (NOUT, FMT = 99993) ( Q(I,J), J = 1,M+N ) 20 CONTINUE END IF END IF END IF * 99999 FORMAT (' DBQRU EXAMPLE PROGRAM RESULTS') 99998 FORMAT (' INFO on exit from DBQRU = ',I2) 99997 FORMAT (' INFO on exit from DBQRU_APP = ',I2) 99996 FORMAT (/' Updated factor R ') 99995 FORMAT (/' Unitary matrix Q ') 99993 FORMAT (20(1X,F9.4)) 99992 FORMAT (/' N is out of range.',/' N = ',I5) 99991 FORMAT (/' M is out of range.',/' M = ',I5) 99990 FORMAT (/' Residual: || ... ||_F = ',G7.2) END