* F04CCF Example Program Text * Mark 21 Release. NAG Copyright 2004. * .. Parameters .. INTEGER NIN, NOUT PARAMETER (NIN=5,NOUT=6) INTEGER NMAX, NRHSMX PARAMETER (NMAX=8,NRHSMX=2) INTEGER LDB PARAMETER (LDB=NMAX) * .. Local Scalars .. DOUBLE PRECISION ERRBND, RCOND INTEGER I, IERR, IFAIL, J, N, NRHS * .. Local Arrays .. COMPLEX *16 B(LDB,NRHSMX), D(NMAX), DL(NMAX-1), DU(NMAX-1), + DU2(NMAX-2) INTEGER IPIV(NMAX) CHARACTER CLABS(1), RLABS(1) * .. External Subroutines .. EXTERNAL F04CCF, X04DBF * .. Executable Statements .. WRITE (NOUT,*) 'F04CCF Example Program Results' WRITE (NOUT,*) * Skip heading in data file READ (NIN,*) READ (NIN,*) N, NRHS IF (N.LE.NMAX .AND. NRHS.LE.NRHSMX) THEN * * Read A and B from data file * READ (NIN,*) (DU(I),I=1,N-1) READ (NIN,*) (D(I),I=1,N) READ (NIN,*) (DL(I),I=1,N-1) READ (NIN,*) ((B(I,J),J=1,NRHS),I=1,N) * * Solve the equations AX = B for X * IFAIL = -1 CALL F04CCF(N,NRHS,DL,D,DU,DU2,IPIV,B,LDB,RCOND,ERRBND,IFAIL) * IF (IFAIL.EQ.0) THEN * * Print solution, estimate of condition number and approximate * error bound * IERR = 0 CALL X04DBF('General',' ',N,NRHS,B,LDB,'Bracketed',' ', + 'Solution','Integer',RLABS,'Integer',CLABS,80,0, + IERR) * WRITE (NOUT,*) WRITE (NOUT,*) 'Estimate of condition number' WRITE (NOUT,99999) 1.0D0/RCOND WRITE (NOUT,*) WRITE (NOUT,*) + 'Estimate of error bound for computed solutions' WRITE (NOUT,99999) ERRBND ELSE IF (IFAIL.EQ.N+1) THEN * * Matrix A is numerically singular. Print estimate of * reciprocal of condition number and solution * WRITE (NOUT,*) WRITE (NOUT,*) 'Estimate of reciprocal of condition number' WRITE (NOUT,99999) RCOND * WRITE (NOUT,*) IERR = 0 CALL X04DBF('General',' ',N,NRHS,B,LDB,'Bracketed',' ', + 'Solution','Integer',RLABS,'Integer',CLABS,80,0, + IERR) * ELSE IF (IFAIL.GT.0 .AND. IFAIL.LE.N) THEN * * The upper triangular matrix U is exactly singular. Print * details of factorization * WRITE (NOUT,*) 'Details of factorization' WRITE (NOUT,*) WRITE (NOUT,*) ' Second super-diagonal of U' WRITE (NOUT,99998) (DU2(I),I=1,N-2) WRITE (NOUT,*) WRITE (NOUT,*) ' First super-diagonal of U' WRITE (NOUT,99998) (DU(I),I=1,N-1) WRITE (NOUT,*) WRITE (NOUT,*) ' Main diagonal of U' WRITE (NOUT,99998) (D(I),I=1,N) WRITE (NOUT,*) WRITE (NOUT,*) ' Multipliers' WRITE (NOUT,99998) (DL(I),I=1,N-1) WRITE (NOUT,*) WRITE (NOUT,*) ' Vector of interchanges' WRITE (NOUT,99997) (IPIV(I),I=1,N) END IF ELSE WRITE (NOUT,*) 'NMAX and/or NRHSMX too small' END IF STOP * 99999 FORMAT (8X,1P,E9.1) 99998 FORMAT (4(1X,'(',F7.4,',',F7.4,')',:)) 99997 FORMAT (1X,8I9) END