* F04CJF 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) CHARACTER UPLO PARAMETER (UPLO='U') * .. Local Scalars .. DOUBLE PRECISION ERRBND, RCOND INTEGER I, IERR, IFAIL, J, N, NRHS * .. Local Arrays .. COMPLEX *16 AP((NMAX*(NMAX+1))/2), B(LDB,NRHSMX) INTEGER IPIV(NMAX) CHARACTER CLABS(1), RLABS(1) * .. External Subroutines .. EXTERNAL F04CJF, X04DBF, X04DDF * .. Executable Statements .. WRITE (NOUT,*) 'F04CJF 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 the upper or lower triangular part of the matrix A from * data file * IF (UPLO.EQ.'U') THEN READ (NIN,*) ((AP(I+(J*(J-1))/2),J=I,N),I=1,N) ELSE IF (UPLO.EQ.'L') THEN READ (NIN,*) ((AP(I+((2*N-J)*(J-1))/2),J=1,I),I=1,N) END IF * * Read B from data file * READ (NIN,*) ((B(I,J),J=1,NRHS),I=1,N) * * Solve the equations AX = B for X * IFAIL = 1 CALL F04CJF(UPLO,N,NRHS,AP,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,*) IERR = 0 CALL X04DDF(UPLO,'Non-unit diagonal',N,AP,'Bracketed',' ', + 'Details of factorization','Integer',RLABS, + 'Integer',CLABS,80,0,IERR) * * Print pivot indices * WRITE (NOUT,*) WRITE (NOUT,*) 'Pivot indices' WRITE (NOUT,99998) (IPIV(I),I=1,N) ELSE WRITE (NOUT,99997) IFAIL END IF ELSE WRITE (NOUT,*) 'NMAX and/or NRHSMX too small' END IF * 99999 FORMAT (8X,1P,E9.1) 99998 FORMAT ((1X,7I11)) 99997 FORMAT (1X,' ** F04CJF returned with IFAIL = ',I5) END