Program f08avfe ! F08AVF Example Program Text ! Mark 24 Release. NAG Copyright 2012. ! .. Use Statements .. Use nag_library, Only: nag_wp, x04dbf, zgelqf, ztrsm, zunmlq ! .. Implicit None Statement .. Implicit None ! .. Parameters .. Complex (Kind=nag_wp), Parameter :: one = (1.0_nag_wp,0.0_nag_wp) Complex (Kind=nag_wp), Parameter :: zero = (0.0_nag_wp,0.0_nag_wp) Integer, Parameter :: nin = 5, nout = 6 ! .. Local Scalars .. Integer :: i, ifail, info, lda, ldb, lwork, m, & n, nrhs ! .. Local Arrays .. Complex (Kind=nag_wp), Allocatable :: a(:,:), b(:,:), tau(:), work(:) Character (1) :: clabs(1), rlabs(1) ! .. Executable Statements .. Write (nout,*) 'F08AVF 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 zgelqf is f08avf Call zgelqf(m,n,a,lda,tau,work,lwork,info) ! Solve L*Y = B, storing the result in B ! The NAG name equivalent of ztrsm is f06zjf Call ztrsm('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