Algorithm 1. Lyapunov exponent adjustment procedure
1:	procedureAdjust_Lyapunov_Exponent ($\tilde{\mathit{W}}$, $\Delta \rho$, ${\lambda }_0$, $\Delta {\lambda }_0,$$N_{\lambda }$)
2:	for i: = 1 to $N_{\lambda }$ step by 1 do
3:	$\widehat{\lambda }\left[\mathrm{i}\right]$: = Estimate_Lyapunov_Exponent ($\tilde{\mathit{W}}$);
4:	$\tilde{\mathit{W}}\left[\mathrm{i}\right]$: = $\tilde{\mathit{W}}$;
5:	$\Delta \lambda {\left[\mathrm{i}\right]}_{ }$: = Absolute_Value ($\widehat{\lambda }\left[\mathrm{i}\right]-{\lambda }_0$);
6:	//stop if: estimated value is within the tolerance range
7:	//or does not change between iterations
8:	if ($\Delta \lambda {\left[\mathrm{i}\right]}_{ }\le \Delta {\lambda }_0$) OR ($\Delta \lambda \left[\mathrm{i}\right]==\Delta \lambda \left[\mathrm{i}-1\right]$) then
9:	break for i loop;
10:	end if
11:	if (Sign ($\Delta \lambda \left[\mathrm{i}\right]$)$! =$ Sign ($\Delta \lambda \left[\mathrm{i}-1\right]$)) then
12:	$\Delta \rho : = \Delta \rho /2$;
13:	end if
14:	${\rho }_{tmp }:=$Compute_Spectral_Radius ($\tilde{\mathit{W}}$);
15:	//adjust $\tilde{\mathit{W}}$ spectral radius to ${\rho }_{tmp }\pm \Delta \rho$
16:	if (Sign ($\Delta \lambda \left[\mathrm{i}\right]$)$>0$) then
17:	$\tilde{\mathit{W}}:=$Set_Spectral_Radius ($\tilde{\mathit{W}}, {\rho }_{tmp }-\Delta \rho$);
18:	else
19:	$\tilde{\mathit{W}}:=$Set_Spectral_Radius ($\tilde{\mathit{W}}, {\rho }_{tmp }+\Delta \rho$);
20:	end if
21:	end for i
22:	i_out: = Index_of_Minimum_Value ($\Delta \lambda []$);
23:	return { $\tilde{\mathit{W}}\left[\mathrm{i}\_\mathrm{out}\right], \widehat{\lambda }\left[\mathrm{i}\_\mathrm{out}\right]$};
end procedure