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Commit ac632675 authored by Ferhat Mihoubi's avatar Ferhat Mihoubi
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Adds new preconditioners in iterative solvers

parent 03e487a0
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matlab/solve_two_boundaries.m
View file @ ac632675
......@@ -74,69 +74,11 @@ g1=spalloc( Blck_size*periods, Jacobian_Size, nze*periods);
reduced = 0;
while ~(cvg==1 || iter>maxit_),
[r, y, g1, g2, g3, b]=feval(fname, y, x, params, steady_state, periods, 0, y_kmin, Blck_size);
% fjac = zeros(Blck_size, Blck_size*(y_kmin_l+1+y_kmax_l));
% disp(['Blck_size=' int2str(Blck_size) ' size(y_index)=' int2str(size(y_index,2))]);
% dh = max(abs(y(y_kmin+1-y_kmin_l:y_kmin+1+y_kmax_l, y_index)),options_.gstep*ones(y_kmin_l+1+y_kmax_l, Blck_size))*eps^(1/3);
% fvec = r;
% %for i = y_kmin+1-y_kmin_l:y_kmin+1+y_kmax_l
% i = y_kmin+1;
% i
% for j = 1:Blck_size
% ydh = y ;
% ydh(i, y_index(j)) = ydh(i, y_index(j)) + dh(i, j) ;
% if(j==11 && i==2)
% disp(['y(i,y_index(11)=' int2str(y_index(11)) ')= ' num2str(y(i,y_index(11))) ' ydh(i, y_index(j))=' num2str(ydh(i, y_index(j))) ' dh(i,j)= ' num2str(dh(i,j))]);
% end;
% [t, y1, g11, g21, g31, b1]=feval(fname, ydh, x, params, periods, 0, y_kmin, Blck_size);
% fjac(:,j+(i-(y_kmin+1-y_kmin_l))*Blck_size) = (t(:, 1+y_kmin) - fvec(:, 1+y_kmin))./dh(i, j) ;
% if(j==11 && i==2)
% disp(['fjac(:,' int2str(j+(i-(y_kmin+1-y_kmin_l))*Blck_size) ')=']);
% disp([num2str(fjac(:,j+(i-(y_kmin+1-y_kmin_l))*Blck_size))]);
% end;
% end;
% % end
% %diff = g1(1:Blck_size, 1:Blck_size*(y_kmin_l+1+y_kmax_l)) -fjac;
% diff = g1(1:Blck_size, y_kmin_l*Blck_size+1:(y_kmin_l+1)*Blck_size) -fjac(1:Blck_size, y_kmin_l*Blck_size+1:(y_kmin_l+1)*Blck_size);
% disp(diff);
% [c_max, i_c_max] = max(abs(diff));
% [l_c_max, i_r_max] = max(c_max);
% disp(['maximum element row=' int2str(i_c_max(i_r_max)) ' and column=' int2str(i_r_max) ' value = ' num2str(l_c_max)]);
% equation = i_c_max(i_r_max);
% variable = i_r_max;
% variable
% disp(['equation ' int2str(equation) ' and variable ' int2str(y_index(mod(variable, Blck_size))) ' ' M_.endo_names(y_index(mod(variable, Blck_size)), :)]);
% disp(['g1(' int2str(equation) ', ' int2str(variable) ')=' num2str(g1(equation, y_kmin_l*Blck_size+variable),'%3.10f') ' fjac(' int2str(equation) ', ' int2str(variable) ')=' num2str(fjac(equation, y_kmin_l*Blck_size+variable), '%3.10f')]);
% return;
% for i=1:periods;
% disp([sprintf('%5.14f ',[T9025(i) T1149(i) T11905(i)])]);
% end;
% return;
%residual = r(:,y_kmin+1:y_kmin+1+y_kmax_l);
%num2str(residual,' %1.6f')
%jac_ = g1(1:(y_kmin)*Blck_size, 1:(y_kmin+1+y_kmax_l)*Blck_size);
%jac_
preconditioner = 2;
g1a=g1(:, y_kmin*Blck_size+1:(periods+y_kmin)*Blck_size);
term1 = g1(:, 1:y_kmin_l*Blck_size)*reshape(y(1+y_kmin-y_kmin_l:y_kmin,y_index)',1,y_kmin_l*Blck_size)';
term2 = g1(:, (periods+y_kmin_l)*Blck_size+1:(periods+y_kmin_l+y_kmax_l)*Blck_size)*reshape(y(periods+y_kmin+1:periods+y_kmin+y_kmax_l,y_index)',1,y_kmax_l*Blck_size)';
b = b - term1 - term2;
% fid = fopen(['result' num2str(iter)],'w');
% fg1a = full(g1a);
% fprintf(fid,'%d\n',size(fg1a,1));
% fprintf(fid,'%d\n',size(fg1a,2));
% fprintf(fid,'%5.14f\n',fg1a);
% fprintf(fid,'%d\n',size(b,1));
% fprintf(fid,'%5.14f\n',b);
% fclose(fid);
% return;
%ipconfigb_ = b(1:(1+y_kmin)*Blck_size);
%b_
[max_res, max_indx]=max(max(abs(r')));
if(~isreal(r))
max_res = (-max_res^2)^0.5;
......@@ -255,7 +197,33 @@ while ~(cvg==1 || iter>maxit_),
elseif(stack_solve_algo==2),
flag1=1;
while(flag1>0)
[L1, U1]=luinc(g1a,luinc_tol);
if preconditioner == 2
[L1, U1]=luinc(g1a,luinc_tol);
elseif preconditioner == 3
Size = Blck_size;
gss1 = g1a(Size + 1: 2*Size,Size + 1: 2*Size) + g1a(Size + 1: 2*Size,2*Size+1: 3*Size);
[L1, U1]=lu(gss1);
L(1:Size,1:Size) = L1;
U(1:Size,1:Size) = U1;
gss2 = g1a(Size + 1: 2*Size,1: Size) + g1a(Size + 1: 2*Size,Size+1: 2*Size) + g1a(Size + 1: 2*Size,2*Size+1: 3*Size);
[L2, U2]=lu(gss2);
L(Size+1:(periods-1)*Size,Size+1:(periods-1)*Size) = kron(eye(periods-2), L2);
U(Size+1:(periods-1)*Size,Size+1:(periods-1)*Size) = kron(eye(periods-2), U2);
gss2 = g1a(Size + 1: 2*Size,1: Size) + g1a(Size + 1: 2*Size,Size+1: 2*Size);
[L3, U3]=lu(gss2);
L((periods-1)*Size+1:periods*Size,(periods-1)*Size+1:periods*Size) = L3;
U((periods-1)*Size+1:periods*Size,(periods-1)*Size+1:periods*Size) = U3;
L1 = L;
U1 = U;
elseif preconditioner == 4
Size = Blck_size;
gss1 = g1a(1: 3*Size, 1: 3*Size);
[L, U] = lu(gss1);
L1 = kron(eye(ceil(periods/3)),L);
U1 = kron(eye(ceil(periods/3)),U);
L1 = L1(1:periods * Size, 1:periods * Size);
U1 = U1(1:periods * Size, 1:periods * Size);
end;
[za,flag1] = gmres(g1a,b,Blck_size,1e-6,Blck_size*periods,L1,U1);
if (flag1>0 || reduced)
if(flag1==1)
......@@ -276,8 +244,25 @@ while ~(cvg==1 || iter>maxit_),
elseif(stack_solve_algo==3),
flag1=1;
while(flag1>0)
[L1, U1]=luinc(g1a,luinc_tol);
[za,flag1] = bicgstab(g1a,b,1e-7,Blck_size*periods,L1,U1);
if (preconditioner == 3)
Size = Blck_size;
gss0 = g1a(Size + 1: 2*Size,1: Size) + g1a(Size + 1: 2*Size,Size+1: 2*Size) + g1a(Size + 1: 2*Size,2*Size+1: 3*Size);
[L1, U1]=lu(gss0);
P1 = eye(size(gss0));
Q1 = eye(size(gss0));
L = kron(eye(periods),L1);
U = kron(eye(periods),U1);
P = kron(eye(periods),P1);
Q = kron(eye(periods),Q1);
[za,flag1] = bicgstab1(g1a,b,1e-7,Blck_size*periods,L,U, P, Q);
else
Size = Blck_size;
gss0 = g1a(Size + 1: 2*Size,1: Size) + g1a(Size + 1: 2*Size,Size+1: 2*Size) + g1a(Size + 1: 2*Size,2*Size+1: 3*Size);
[L1, U1]=lu(gss0);
L1 = kron(eye(periods),L1);
U1 = kron(eye(periods),U1);
[za,flag1] = bicgstab(g1a,b,1e-7,Blck_size*periods,L1,U1);
end;
if (flag1>0 || reduced)
if(flag1==1)
disp(['Error in simul: No convergence inside BICGSTAB after ' num2str(periods*10,'%6d') ' iterations, in block' num2str(Block_Size,'%3d')]);
......
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