Hi. I am trying to calculate a root within a certain precision. I have written the following matlab code but for some reason it doesn't reach the specified precision and when analysing the values it gives it begins to become precise then suddenly jumps back to a value that it has already passed by.
LB=Bracketrooteven(k) %Lower bound surrounding root UB=Bracketrooteven(k+1) %Upper bound surrounding root
Prec=0.00001; %Precision that the root value must meet
Intnum=log2((UB-LB)/Prec) %Calculating the number of bisections required
%for the specified precision
Int=floor(Intnum)+1 % Interval number in integer form
for m=1:Int; %Loop for all the interval values
midval=(LB+UB)/2 %Calculate median value
if (((tan(((sqrt(2*me*midval*1.6e19))*L/(hbar))))-(sqrt(((V*1.6e-
19)-(midval*1.6e-19))/(midval*1.6e-19))))<0)
LB=midval
else
UB=midval
end
end
Any help would be greatly appreciated. Thanks
LB=Bracketrooteven(k) %Lower bound surrounding root UB=Bracketrooteven(k+1) %Upper bound surrounding root
Prec=0.00001; %Precision that the root value must meet
Intnum=log2((UB-LB)/Prec) %Calculating the number of bisections required
%for the specified precision
Int=floor(Intnum)+1 % Interval number in integer form
for m=1:Int; %Loop for all the interval values
midval=(LB+UB)/2 %Calculate median value
if (((tan(((sqrt(2*me*midval*1.6e19))*L/(hbar))))-(sqrt(((V*1.6e-
19)-(midval*1.6e-19))/(midval*1.6e-19))))<0)
LB=midval
else
UB=midval
end
end
Any help would be greatly appreciated. Thanks
