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LAPACK in davidson
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@ -316,6 +316,7 @@ subroutine davidson_diag_hjj(dets_in,u_in,H_jj,energies,dim_in,sze,N_st,N_st_dia
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integer :: iter2
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double precision, allocatable :: W(:,:,:), U(:,:,:), R(:,:)
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double precision, allocatable :: y(:,:,:,:), h(:,:,:,:), lambda(:)
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double precision, allocatable :: c(:), H_small(:,:)
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double precision :: diag_h_mat_elem
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double precision, allocatable :: residual_norm(:)
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character*(16384) :: write_buffer
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@ -365,6 +366,8 @@ subroutine davidson_diag_hjj(dets_in,u_in,H_jj,energies,dim_in,sze,N_st,N_st_dia
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y(N_st_diag,davidson_sze_max,N_st_diag,davidson_sze_max), &
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residual_norm(N_st_diag), &
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overlap(N_st_diag,N_st_diag), &
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c(N_st_diag*davidson_sze_max), &
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H_small(N_st_diag,N_st_diag), &
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lambda(N_st_diag*davidson_sze_max))
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ASSERT (N_st > 0)
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@ -393,17 +396,19 @@ subroutine davidson_diag_hjj(dets_in,u_in,H_jj,energies,dim_in,sze,N_st,N_st_dia
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enddo
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enddo
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! Compute overlap matrix
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! Compute overlap matrix Ut.U to orthonormalize U
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! -----------------------------------------------
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call DGEMM('T','N', N_st_diag, N_st_diag, sze, &
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1.d0, U(1,1,1), size(U,1), U(1,1,1), size(U,1), &
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0.d0, overlap, size(overlap,1))
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call ortho_lowdin(overlap,size(overlap,1),N_st_diag,U,size(U,1),sze)
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do iter=1,davidson_sze_max-1
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! Compute W_k = H |u_k>
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! ----------------------
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! Compute |W_k> = \sum_i |i><i|H|u_k>
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! -----------------------------------------
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call H_u_0_nstates(W(1,1,iter),U(1,1,iter),H_jj,sze,dets_in,Nint,N_st_diag,sze_8)
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@ -411,34 +416,10 @@ subroutine davidson_diag_hjj(dets_in,u_in,H_jj,energies,dim_in,sze,N_st,N_st_dia
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! Compute h_kl = <u_k | W_l> = <u_k| H |u_l>
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! -------------------------------------------
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!$OMP PARALLEL PRIVATE(k,l,iter2) SHARED(h,U,W,sze,iter)
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do l=1,N_st_diag
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!$OMP DO
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do k=1,N_st_diag
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do iter2=1,iter-1
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h(k,iter2,l,iter) = u_dot_v(U(1,k,iter2),W(1,l,iter),sze)
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h(k,iter,l,iter2) = h(k,iter2,l,iter)
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enddo
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enddo
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!$OMP END DO
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enddo
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do l=1,N_st_diag
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!$OMP DO
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do k=1,l
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h(k,iter,l,iter) = u_dot_v(U(1,k,iter),W(1,l,iter),sze)
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h(l,iter,k,iter) = h(k,iter,l,iter)
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enddo
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!$OMP END DO
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enddo
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!$OMP END PARALLEL
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call dgemm('T','N', N_st_diag*iter, N_st_diag, sze, &
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1.d0, U, size(U,1), W(1,1,iter), size(W,1), &
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0.d0, h(1,1,1,iter), size(h,1)*size(h,2))
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!DEBUG H MATRIX
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!do i=1,iter
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! print '(10(x,F16.10))', h(1,i,1,1:i)
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!enddo
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!print *, ''
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!END
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! Diagonalize h
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! -------------
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call lapack_diag(lambda,y,h,N_st_diag*davidson_sze_max,N_st_diag*iter)
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@ -446,45 +427,24 @@ subroutine davidson_diag_hjj(dets_in,u_in,H_jj,energies,dim_in,sze,N_st,N_st_dia
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! Express eigenvectors of h in the determinant basis
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! --------------------------------------------------
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!$OMP PARALLEL DEFAULT(NONE) &
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!$OMP PRIVATE(k,i,l,iter2) &
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!$OMP SHARED(U,W,R,y,iter,lambda,N_st_diag,sze,to_print, &
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!$OMP residual_norm,nuclear_repulsion,N_st)
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call dgemm('N','N', sze, N_st_diag, N_st_diag*iter, &
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1.d0, U, size(U,1), y, size(y,1)*size(y,2), 0.d0, U(1,1,iter+1), size(U,1))
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call dgemm('N','N',sze,N_st_diag,N_st_diag*iter, &
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1.d0, W, size(W,1), y, size(y,1)*size(y,2), 0.d0, W(1,1,iter+1), size(W,1))
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! Compute residual vector
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! -----------------------
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do k=1,N_st_diag
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!$OMP DO
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do i=1,sze
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U(i,k,iter+1) = 0.d0
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W(i,k,iter+1) = 0.d0
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enddo
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!$OMP END DO
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do iter2=1,iter
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do l=1,N_st_diag
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!$OMP DO
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do i=1,sze
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U(i,k,iter+1) = U(i,k,iter+1) + U(i,l,iter2)*y(l,iter2,k,1)
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W(i,k,iter+1) = W(i,k,iter+1) + W(i,l,iter2)*y(l,iter2,k,1)
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enddo
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!$OMP END DO NOWAIT
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enddo
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enddo
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! Compute residual vector
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! -----------------------
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!$OMP DO
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do i=1,sze
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R(i,k) = lambda(k) * U(i,k,iter+1) - W(i,k,iter+1)
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enddo
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!$OMP END DO
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!$OMP SINGLE
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if (k <= N_st) then
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residual_norm(k) = u_dot_u(R(1,k),sze)
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to_print(1,k) = lambda(k) + nuclear_repulsion
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to_print(2,k) = residual_norm(k)
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endif
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!$OMP END SINGLE
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enddo
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!$OMP END PARALLEL
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write(iunit,'(X,I3,X,100(X,F16.10,X,E16.6))') iter, to_print(:,1:N_st)
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call davidson_converged(lambda,residual_norm,wall,iter,cpu,N_st,converged)
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@ -505,14 +465,11 @@ subroutine davidson_diag_hjj(dets_in,u_in,H_jj,energies,dim_in,sze,N_st,N_st_dia
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! Gram-Schmidt
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! ------------
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double precision :: c(N_st_diag)
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do k=1,N_st_diag
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do iter2=1,iter
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call dgemv('T',sze,N_st_diag,1.d0,U(1,1,iter2),size(U,1), &
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call dgemv('T',sze,N_st_diag*iter,1.d0,U,size(U,1), &
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U(1,k,iter+1),1,0.d0,c,1)
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call dgemv('N',sze,N_st_diag,-1.d0,U(1,1,iter2),size(U,1), &
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call dgemv('N',sze,N_st_diag*iter,-1.d0,U,size(U,1), &
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c,1,1.d0,U(1,k,iter+1),1)
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enddo
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call dgemv('T',sze,N_st_diag,1.d0,U(1,1,iter+1),size(U,1), &
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U(1,k,iter+1),1,0.d0,c,1)
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call dgemv('N',sze,k-1,-1.d0,U(1,1,iter+1),size(U,1), &
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@ -520,20 +477,6 @@ subroutine davidson_diag_hjj(dets_in,u_in,H_jj,energies,dim_in,sze,N_st,N_st_dia
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call normalize( U(1,k,iter+1), sze )
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enddo
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!DEBUG : CHECK OVERLAP
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!print *, '==='
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!do k=1,iter+1
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! do l=1,k
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! c = u_dot_v(U(1,1,k),U(1,1,l),sze)
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! print *, k,l, c
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! enddo
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!enddo
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!print *, '==='
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!pause
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!END DEBUG
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enddo
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if (.not.converged) then
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@ -545,15 +488,10 @@ subroutine davidson_diag_hjj(dets_in,u_in,H_jj,energies,dim_in,sze,N_st,N_st_dia
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do k=1,N_st_diag
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energies(k) = lambda(k)
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do i=1,sze
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u_in(i,k) = 0.d0
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do iter2=1,iter
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do l=1,N_st_diag
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u_in(i,k) += U(i,l,iter2)*y(l,iter2,k,1)
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enddo
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enddo
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enddo
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enddo
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call dgemm('N','N', sze, N_st_diag, N_st_diag*iter, 1.d0, &
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U, size(U,1), y, size(y,1)*size(y,2), &
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0.d0, u_in, size(u_in,1))
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enddo
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@ -569,7 +507,7 @@ subroutine davidson_diag_hjj(dets_in,u_in,H_jj,energies,dim_in,sze,N_st,N_st_dia
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kl_pairs, &
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W, residual_norm, &
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U, overlap, &
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R, &
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R, c, &
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h, &
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y, &
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lambda &
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