Program f07jnfe
! F07JNF Example Program Text
! Mark 30.0 Release. NAG Copyright 2024.
! .. Use Statements ..
Use nag_library, Only: nag_wp, zptsv
! .. Implicit None Statement ..
Implicit None
! .. Parameters ..
Integer, Parameter :: nin = 5, nout = 6
! .. Local Scalars ..
Integer :: info, n
! .. Local Arrays ..
Complex (Kind=nag_wp), Allocatable :: b(:), e(:)
Real (Kind=nag_wp), Allocatable :: d(:)
! .. Executable Statements ..
Write (nout,*) 'F07JNF Example Program Results'
Write (nout,*)
! Skip heading in data file
Read (nin,*)
Read (nin,*) n
Allocate (b(n),e(n-1),d(n))
! Read the lower bidiagonal part of the tridiagonal matrix A and
! the right hand side b from data file
Read (nin,*) d(1:n)
Read (nin,*) e(1:n-1)
Read (nin,*) b(1:n)
! Solve the equations Ax = b for x
! The NAG name equivalent of zptsv is f07jnf
Call zptsv(n,1,d,e,b,n,info)
If (info==0) Then
! Print solution
Write (nout,*) 'Solution'
Write (nout,99999) b(1:n)
! Print details of factorization
Write (nout,*)
Write (nout,*) 'Diagonal elements of the diagonal matrix D'
Write (nout,99998) d(1:n)
Write (nout,*)
Write (nout,*) 'Subdiagonal elements of the Cholesky factor L'
Write (nout,99999) e(1:n-1)
Else
Write (nout,99997) 'The leading minor of order ', info, &
' is not positive definite'
End If
99999 Format (4(' (',F8.4,',',F8.4,')',:))
99998 Format ((2X,F7.4,3(11X,F7.4)))
99997 Format (1X,A,I3,A)
End Program f07jnfe