* F08AHF Example Program Text * Mark 16 Release. NAG Copyright 1992. * .. Parameters .. INTEGER NIN, NOUT PARAMETER (NIN=5,NOUT=6) INTEGER MMAX, NMAX, LDA, LDB, NRHMAX, LWORK PARAMETER (MMAX=8,NMAX=8,LDA=MMAX,LDB=NMAX,NRHMAX=NMAX, + LWORK=64*NMAX) DOUBLE PRECISION ZERO, ONE PARAMETER (ZERO=0.0D0,ONE=1.0D0) * .. Local Scalars .. INTEGER I, IFAIL, INFO, J, M, N, NRHS * .. Local Arrays .. DOUBLE PRECISION A(LDA,NMAX), B(LDB,NRHMAX), TAU(NMAX), + WORK(LWORK) * .. External Subroutines .. EXTERNAL DGELQF, DORMLQ, DTRSM, F06QHF, X04CAF * .. Executable Statements .. WRITE (NOUT,*) 'F08AHF Example Program Results' * Skip heading in data file READ (NIN,*) READ (NIN,*) M, N, NRHS IF (M.LE.MMAX .AND. N.LE.NMAX .AND. M.LE.N .AND. NRHS.LE.NRHMAX) + THEN * * Read A and B from data file * READ (NIN,*) ((A(I,J),J=1,N),I=1,M) READ (NIN,*) ((B(I,J),J=1,NRHS),I=1,M) * * Compute the LQ factorization of A * CALL DGELQF(M,N,A,LDA,TAU,WORK,LWORK,INFO) * * Solve L*Y = B, storing the result in B * CALL DTRSM('Left','Lower','No transpose','Non-Unit',M,NRHS,ONE, + A,LDA,B,LDB) * * Set rows (M+1) to N of B to zero * IF (M.LT.N) CALL F06QHF('General',N-M,NRHS,ZERO,ZERO,B(M+1,1), + LDB) * * Compute minimum-norm solution X = (Q**T)*B in B * CALL DORMLQ('Left','Transpose',N,NRHS,M,A,LDA,TAU,B,LDB,WORK, + LWORK,INFO) * * Print minimum-norm solution(s) * WRITE (NOUT,*) IFAIL = 0 * CALL X04CAF('General',' ',N,NRHS,B,LDB, + 'Minimum-norm solution(s)',IFAIL) * END IF STOP END