* F07QVF Example Program Text * Mark 15 Release. NAG Copyright 1991. * .. Parameters .. INTEGER NIN, NOUT PARAMETER (NIN=5,NOUT=6) INTEGER NMAX, NRHMAX, LDB, LDX PARAMETER (NMAX=8,NRHMAX=NMAX,LDB=NMAX,LDX=NMAX) * .. Local Scalars .. INTEGER I, IFAIL, INFO, J, N, NRHS CHARACTER UPLO * .. Local Arrays .. COMPLEX *16 AFP(NMAX*(NMAX+1)/2), AP(NMAX*(NMAX+1)/2), + B(LDB,NRHMAX), WORK(2*NMAX), X(LDX,NMAX) DOUBLE PRECISION BERR(NRHMAX), FERR(NRHMAX), RWORK(NMAX) INTEGER IPIV(NMAX) CHARACTER CLABS(1), RLABS(1) * .. External Subroutines .. EXTERNAL F06TFF, X04DBF, ZSPRFS, ZSPTRF, ZSPTRS * .. Executable Statements .. WRITE (NOUT,*) 'F07QVF Example Program Results' * Skip heading in data file READ (NIN,*) READ (NIN,*) N, NRHS IF (N.LE.NMAX .AND. NRHS.LE.NRHMAX) THEN * * Read A and B from data file, and copy A to AFP and B to X * READ (NIN,*) UPLO 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 (NIN,*) ((B(I,J),J=1,NRHS),I=1,N) DO 20 I = 1, N*(N+1)/2 AFP(I) = AP(I) 20 CONTINUE CALL F06TFF('General',N,NRHS,B,LDB,X,LDX) * * Factorize A in the array AFP * CALL ZSPTRF(UPLO,N,AFP,IPIV,INFO) * WRITE (NOUT,*) IF (INFO.EQ.0) THEN * * Compute solution in the array X * CALL ZSPTRS(UPLO,N,NRHS,AFP,IPIV,X,LDX,INFO) * * Improve solution, and compute backward errors and * estimated bounds on the forward errors * CALL ZSPRFS(UPLO,N,NRHS,AP,AFP,IPIV,B,LDB,X,LDX,FERR,BERR, + WORK,RWORK,INFO) * * Print solution * IFAIL = 0 CALL X04DBF('General',' ',N,NRHS,X,LDX,'Bracketed','F7.4', + 'Solution(s)','Integer',RLABS,'Integer',CLABS, + 80,0,IFAIL) WRITE (NOUT,*) WRITE (NOUT,*) 'Backward errors (machine-dependent)' WRITE (NOUT,99999) (BERR(J),J=1,NRHS) WRITE (NOUT,*) + 'Estimated forward error bounds (machine-dependent)' WRITE (NOUT,99999) (FERR(J),J=1,NRHS) ELSE WRITE (NOUT,*) 'The factor D is singular' END IF END IF STOP * 99999 FORMAT ((5X,1P,4(E11.1,7X))) END