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

NAG FL Interface Introduction
Example description
    Program f07wefe

!     F07WEF Example Program Text

!     Mark 30.1 Release. NAG Copyright 2024.

!     .. Use Statements ..
      Use nag_library, Only: dpftrf, dpftrs, nag_wp, x04caf
!     .. Implicit None Statement ..
      Implicit None
!     .. Parameters ..
      Integer, Parameter               :: nin = 5, nout = 6
!     .. Local Scalars ..
      Integer                          :: i, ifail, info, k, lar1, ldb, lenar, &
                                          n, nrhs, q
      Character (1)                    :: transr, uplo
!     .. Local Arrays ..
      Real (Kind=nag_wp), Allocatable  :: ar(:), b(:,:)
!     .. Executable Statements ..
      Write (nout,*) 'F07WEF Example Program Results'
!     Skip heading in data file
      Read (nin,*)
      Read (nin,*) n, nrhs, uplo, transr

      lenar = n*(n+1)/2
      ldb = n
      Allocate (ar(lenar),b(ldb,nrhs))

!     Setup notional dimensions of RFP matrix AR
      k = n/2
      q = n - k
      If (transr=='N' .Or. transr=='n') Then
        lar1 = 2*k + 1
      Else
        lar1 = q
      End If

!     Read an RFP matrix into array AR
      Do i = 1, lar1
        Read (nin,*) ar(i:lenar:lar1)
      End Do

!     Read RHS matrix B
      Do i = 1, n
        Read (nin,*) b(i,1:nrhs)
      End Do

!     Factorize A
!     The NAG name equivalent of dpftrf is f07wdf
      Call dpftrf(transr,uplo,n,ar,info)

      Write (nout,*)
      Flush (nout)
      If (info==0) Then

!       Compute solution
!       The NAG name equivalent of dpftrs is f07wef
        Call dpftrs(transr,uplo,n,nrhs,ar,b,ldb,info)

!       Print solution
        ifail = 0
        Call x04caf('General',' ',n,nrhs,b,ldb,'Solution(s)',ifail)

      Else
        Write (nout,*) 'A is not positive definite'
      End If

    End Program f07wefe