Program f08ahfe ! F08AHF Example Program Text ! Mark 24 Release. NAG Copyright 2012. ! .. Use Statements .. Use nag_library, Only: dgelqf, dormlq, dtrsm, nag_wp, x04caf ! .. Implicit None Statement .. Implicit None ! .. Parameters .. Real (Kind=nag_wp), Parameter :: one = 1.0E0_nag_wp Real (Kind=nag_wp), Parameter :: zero = 0.0E0_nag_wp Integer, Parameter :: nin = 5, nout = 6 ! .. Local Scalars .. Integer :: i, ifail, info, lda, ldb, lwork, m, & n, nrhs ! .. Local Arrays .. Real (Kind=nag_wp), Allocatable :: a(:,:), b(:,:), tau(:), work(:) ! .. Executable Statements .. Write (nout,*) 'F08AHF Example Program Results' ! Skip heading in data file Read (nin,*) Read (nin,*) m, n, nrhs lda = m ldb = n lwork = 64*n Allocate (a(lda,n),b(ldb,nrhs),tau(n),work(lwork)) ! Read A and B from data file Read (nin,*)(a(i,1:n),i=1,m) Read (nin,*)(b(i,1:nrhs),i=1,m) ! Compute the LQ factorization of A ! The NAG name equivalent of dgelqf is f08ahf Call dgelqf(m,n,a,lda,tau,work,lwork,info) ! Solve L*Y = B, storing the result in B ! The NAG name equivalent of dtrsm is f06yjf 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