Program f08jdfe
! F08JDF Example Program Text
! Mark 30.3 Release. nAG Copyright 2024.
! .. Use Statements ..
Use nag_library, Only: dstevr, nag_wp, x04caf
! .. Implicit None Statement ..
Implicit None
! .. Parameters ..
Real (Kind=nag_wp), Parameter :: zero = 0.0_nag_wp
Integer, Parameter :: nin = 5, nout = 6
! .. Local Scalars ..
Real (Kind=nag_wp) :: abstol, vl, vu
Integer :: ifail, il, info, iu, ldz, liwork, &
lwork, m, n
! .. Local Arrays ..
Real (Kind=nag_wp), Allocatable :: d(:), e(:), w(:), work(:), z(:,:)
Real (Kind=nag_wp) :: rdum(1)
Integer :: idum(1)
Integer, Allocatable :: isuppz(:), iwork(:)
! .. Intrinsic Procedures ..
Intrinsic :: max, nint
! .. Executable Statements ..
Write (nout,*) 'F08JDF Example Program Results'
Write (nout,*)
! Skip heading in data file and read N and the lower and upper
! indices of the eigenvalues to be found
Read (nin,*)
Read (nin,*) n, il, iu
ldz = n
m = n
Allocate (d(n),e(n-1),w(n),z(ldz,m),isuppz(2*n))
! Use routine workspace query to get optimal workspace.
lwork = -1
liwork = -1
! The NAG name equivalent of dstevr is f08jdf
Call dstevr('Vectors','Indices',n,d,e,vl,vu,il,iu,abstol,m,w,z,ldz, &
isuppz,rdum,lwork,idum,liwork,info)
! Make sure that there is enough workspace for block size nb.
lwork = max(20*n,nint(rdum(1)))
liwork = max(10*n,idum(1))
Allocate (work(lwork),iwork(liwork))
! Read the diagonal and off-diagonal elements of the matrix A
! from data file
Read (nin,*) d(1:n)
Read (nin,*) e(1:n-1)
! Set the absolute error tolerance for eigenvalues. With ABSTOL
! set to zero, the default value is used instead
abstol = zero
! Solve the symmetric tridiagonal eigenvalue problem
! The NAG name equivalent of dstevr is f08jdf
Call dstevr('Vectors','Indices',n,d,e,vl,vu,il,iu,abstol,m,w,z,ldz, &
isuppz,work,lwork,iwork,liwork,info)
If (info==0) Then
! Print solution
Write (nout,*) 'Selected eigenvalues'
Write (nout,99999) w(1:m)
Flush (nout)
! ifail: behaviour on error exit
! =0 for hard exit, =1 for quiet-soft, =-1 for noisy-soft
ifail = 0
Call x04caf('General',' ',n,m,z,ldz,'Selected eigenvectors',ifail)
Else
Write (nout,99998) 'Failure in DSTEVR. INFO =', info
End If
99999 Format (3X,(8F8.4))
99998 Format (1X,A,I5)
End Program f08jdfe