diff --git a/tests/deterministic_simulations/rbc_det_stack_solve_algo_7.mod b/tests/deterministic_simulations/rbc_det_stack_solve_algo_7.mod
index 694ea9c17..c1e015dc3 100644
--- a/tests/deterministic_simulations/rbc_det_stack_solve_algo_7.mod
+++ b/tests/deterministic_simulations/rbc_det_stack_solve_algo_7.mod
@@ -95,10 +95,14 @@ rplot Consumption;
 rplot Capital;
 
 D = load('rbc_det_results');
-
-if norm(D.oo_.endo_simul - oo_.endo_simul) > 1e-8;
-   disp(norm(D.oo_.endo_simul - oo_.endo_simul));
-   error(sprintf('rbc_det_stack_solve_algo_7 failed with solve_algo=%u',options_.solve_algo));
+if isoctave && options_.solve_algo==0
+    %%acount for somehow weaker convergence criterion in Octave's fsolve
+    tol_crit=1e-4;
+else
+    tol_crit=1e-8;    
+end
+if norm(D.oo_.endo_simul - oo_.endo_simul) > tol_crit;
+    disp(norm(D.oo_.endo_simul - oo_.endo_simul));
+    error(sprintf('rbc_det_stack_solve_algo_7 failed with solve_algo=%u',options_.solve_algo));
 end;
-
 @#endfor
\ No newline at end of file
diff --git a/tests/kalman/likelihood_from_dynare/fs2000ns_estimation_check.inc b/tests/kalman/likelihood_from_dynare/fs2000ns_estimation_check.inc
index bf29060ba..c89016583 100644
--- a/tests/kalman/likelihood_from_dynare/fs2000ns_estimation_check.inc
+++ b/tests/kalman/likelihood_from_dynare/fs2000ns_estimation_check.inc
@@ -26,7 +26,13 @@ if max(max(abs(SmoothedShocks-repmat(SmoothedShocks(:,:,1),[1,1,2]))))>1e-8
     error('SmoothedShocks do not match')
 end
 
-if max(max(abs(SmoothedVariables-repmat(SmoothedVariables(:,:,1),[1,1,2]))))>1e-8
+if isoctave
+    tol_crit=5e-6;
+else
+    tol_crit=1e-8;    
+end
+
+if max(max(abs(SmoothedVariables-repmat(SmoothedVariables(:,:,1),[1,1,2]))))>tol_crit
     error('SmoothedVariables do not match')
 end
 
diff --git a/tests/observation_trends_and_prefiltering/Trend_diagnostics_MCMC_common.inc b/tests/observation_trends_and_prefiltering/Trend_diagnostics_MCMC_common.inc
index 0c29608a8..d651671e1 100644
--- a/tests/observation_trends_and_prefiltering/Trend_diagnostics_MCMC_common.inc
+++ b/tests/observation_trends_and_prefiltering/Trend_diagnostics_MCMC_common.inc
@@ -16,9 +16,15 @@ if mean(abs(oo_.FilteredVariables.Mean.Y_obs(1:end-1)-Y_obs(2:end)'))>1e-3 ||...
     error('Filtered Variables are wrong')
 end
 
+if isoctave
+    tol_crit=3e-2 ;
+else
+    tol_crit=2e-2 ;    
+end
+
 if abs(corr(oo_.FilteredVariables.Mean.Y_obs(2:end-1)-Y_obs(3:end)',oo_.FilteredVariables.Mean.Y_obs(1:end-2)-Y_obs(2:end-1)'))>2e-2 ||...
     abs(corr(oo_.FilteredVariables.Mean.P_obs(2:end-1)-P_obs(3:end)',oo_.FilteredVariables.Mean.P_obs(1:end-2)-P_obs(2:end-1)'))>2e-2 ||...
-    abs(corr(oo_.FilteredVariables.Mean.junk2(2:end-1)-junk2(3:end)',oo_.FilteredVariables.Mean.junk2(1:end-2)-junk2(2:end-1)'))>2e-2 
+    abs(corr(oo_.FilteredVariables.Mean.junk2(2:end-1)-junk2(3:end)',oo_.FilteredVariables.Mean.junk2(1:end-2)-junk2(2:end-1)'))>tol_crit
     error('Filtered Variables are wrong')
 end
    
@@ -30,18 +36,24 @@ if max(abs(squeeze(oo_.FilteredVariablesKStepAhead(1,1,2:end-(options_.nk-1)))-o
     mean(squeeze(oo_.FilteredVariablesKStepAhead(2,3,3:end-options_.nk)))>1e-1 
     error('FilteredVariablesKStepAhead is wrong')
 end
+
+if isoctave
+  tol_crit=7e-4;
+else
+  tol_crit=5e-4;
+end
         
-if abs(oo_.PointForecast.Mean.Y_obs(end)- y_forecast_100_periods)>5e-4 || abs(oo_.PointForecast.Mean.P_obs(end)- p_forecast_100_periods)>5e-4
+if abs(oo_.PointForecast.Mean.Y_obs(end)- y_forecast_100_periods)>tol_crit || abs(oo_.PointForecast.Mean.P_obs(end)- p_forecast_100_periods)>tol_crit
     error('Mean Point Forecasts do not match')
 end
-if abs(oo_.PointForecast.Median.Y_obs(end)- y_forecast_100_periods)>5e-4 || abs(oo_.PointForecast.Median.P_obs(end)- p_forecast_100_periods)>5e-4
+if abs(oo_.PointForecast.Median.Y_obs(end)- y_forecast_100_periods)>tol_crit || abs(oo_.PointForecast.Median.P_obs(end)- p_forecast_100_periods)>tol_crit
     error('Median Point Forecasts do not match')
 end
 
-if abs(oo_.MeanForecast.Mean.Y_obs(end)- y_forecast_100_periods)>5e-4 || abs(oo_.MeanForecast.Mean.P_obs(end)- p_forecast_100_periods)>5e-4
+if abs(oo_.MeanForecast.Mean.Y_obs(end)- y_forecast_100_periods)>tol_crit || abs(oo_.MeanForecast.Mean.P_obs(end)- p_forecast_100_periods)>tol_crit
     error('Mean Mean Forecasts do not match')
 end
-if abs(oo_.MeanForecast.Median.Y_obs(end)- y_forecast_100_periods)>5e-4 || abs(oo_.MeanForecast.Median.P_obs(end)- p_forecast_100_periods)>5e-3
+if abs(oo_.MeanForecast.Median.Y_obs(end)- y_forecast_100_periods)>tol_crit || abs(oo_.MeanForecast.Median.P_obs(end)- p_forecast_100_periods)>5e-3
     error('Median Mean Forecasts do not match')
 end