NAG Library Manual, Mark 30.1
Interfaces:  FL   CL   CPP   AD 

NAG FL Interface Introduction
Example description
    Program f08yvfe

!     F08YVF Example Program Text

!     Mark 30.1 Release. NAG Copyright 2024.

!     .. Use Statements ..
      Use nag_library, Only: nag_wp, x04dbf, ztgsyl
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
      Real (Kind=nag_wp)               :: dif, scale
      Integer                          :: i, ifail, ijob, info, lda, ldb, ldc, &
                                          ldd, lde, ldf, lwork, m, n
!     .. Local Arrays ..
      Complex (Kind=nag_wp), Allocatable :: a(:,:), b(:,:), c(:,:), d(:,:),    &
                                          e(:,:), f(:,:), work(:)
      Integer, Allocatable             :: iwork(:)
      Character (1)                    :: clabs(1), rlabs(1)
!     .. Executable Statements ..
      Write (nout,*) 'F08YVF Example Program Results'
      Write (nout,*)
      Flush (nout)
!     Skip heading in data file
      Read (nin,*)
      Read (nin,*) m, n
      lda = m
      ldb = n
      ldc = m
      ldd = m
      lde = n
      ldf = m
      lwork = 1
      Allocate (a(lda,m),b(ldb,n),c(ldc,n),d(ldd,m),e(lde,n),f(ldf,n),         &
        work(lwork),iwork(m+n+2))

!     Read A, B, D, E, C and F from data file

      Read (nin,*)(a(i,1:m),i=1,m)
      Read (nin,*)(b(i,1:n),i=1,n)
      Read (nin,*)(d(i,1:m),i=1,m)
      Read (nin,*)(e(i,1:n),i=1,n)
      Read (nin,*)(c(i,1:n),i=1,m)
      Read (nin,*)(f(i,1:n),i=1,m)

!     Solve the Sylvester equations
!         A*R - L*B = scale*C and D*R - L*E = scale*F
!     for R and L.

      ijob = 0

!     The NAG name equivalent of ztgsyl is f08yvf
      Call ztgsyl('No transpose',ijob,m,n,a,lda,b,ldb,c,ldc,d,ldd,e,lde,f,ldf, &
        scale,dif,work,lwork,iwork,info)

      If (info>=1) Then
        Write (nout,99999)
        Write (nout,*)
        Flush (nout)
      End If

!     Print the solution matrices R and L

!     ifail: behaviour on error exit
!             =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
      ifail = 0
      Call x04dbf('General',' ',m,n,c,ldc,'Bracketed','F7.4',                  &
        'Solution matrix R','Integer',rlabs,'Integer',clabs,80,0,ifail)

      Write (nout,*)
      Flush (nout)

      ifail = 0
      Call x04dbf('General',' ',m,n,f,ldf,'Bracketed','F7.4',                  &
        'Solution matrix L','Integer',rlabs,'Integer',clabs,80,0,ifail)

      Write (nout,*)
      Write (nout,99998) 'SCALE = ', scale

99999 Format (/,' (A,D) and (B,E) have common or very close eigenval','ues.',  &
        /,' Perturbed values were used to solve the equations')
99998 Format (1X,A,1P,E10.2)
    End Program f08yvfe