use fzero to solve for a parameter

I wrote the following code to solve for a:
clear; clc;
EquivRatio = [0.64 0.74 0.84 0.94 1];
K = [0.371 0.447 0.456 0.383 0.302];
C_NO = [0.014 0.0179 0.0187 0.0139 0.0084];
R1 = [5.79*10^(-5) 0.00110 0.00877 0.0265 0.0235];
Tao_NO = C_NO./(4*R1);
t = 1;
fun = @(a)(1-K).*(log(1+a))-(1+K).*(log(1-a))-t./Tao_NO;
alpha = fzero(fun,0.008229);
But it always give the following error:
Operands to the and && operators must be convertible to logical scalar values.
Error in fzero (line 322) elseif ~isfinite(fx) ~isreal(fx)
What's wrong with my code?

7 个评论

I seems that you are trying to find the zeros from a function that goes from scalar to vector. Is that what you want to do?
Hi,I want to solve for a.
Hi Ivy Shen,
As I see your code, there are 5 equations to solve a. Therefore, we should load a for loop to solve them one by one
clear; clc;
EquivRatio = [0.64 0.74 0.84 0.94 1];
K = [0.371 0.447 0.456 0.383 0.302];
C_NO = [0.014 0.0179 0.0187 0.0139 0.0084];
R1 = [5.79*10^(-5) 0.00110 0.00877 0.0265 0.0235];
Tao_NO = C_NO./(4*R1);
t = 1;
for i=1:1:length(K)
fun = @(a)(1-K(i)).*(log(1+a))-(1+K(i)).*(log(1-a))-t./Tao_NO(i);
alpha(i) = fzero(fun,0.008229);
end
I'm not sure whether i interpret your question correctly, let us know, if my recommendation is workout for you.
Thank you! But it gives two NaN values as shown below. Do you know what's wrong with it?
You have to change 0.008229 value.
for i=1:1:length(K)
fun = @(a)(1-K(i)).*(log(1+a))-(1+K(i)).*(log(1-a))-t./Tao_NO(i);
figure
fplot(fun,[-2 2])
alpha(i) = fzero(fun,0.999);
end
Hi, you may use fplot to view how is your graph's pattern. From the graph, you may see the value is leading to 1 when approaching zero for 4 & 5.
When i change the initial value to 0.999, i find the root for 4.
Thank you very much!

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 采纳的回答

Hi Ivy Shen,
As I see your code, there are 5 equations to solve a. Therefore, we should load a for loop to solve them one by one
clear; clc;
EquivRatio = [0.64 0.74 0.84 0.94 1];
K = [0.371 0.447 0.456 0.383 0.302];
C_NO = [0.014 0.0179 0.0187 0.0139 0.0084];
R1 = [5.79*10^(-5) 0.00110 0.00877 0.0265 0.0235];
Tao_NO = C_NO./(4*R1);
t = 1;
for i=1:1:length(K)
fun = @(a)(1-K(i)).*(log(1+a))-(1+K(i)).*(log(1-a))-t./Tao_NO(i);
alpha(i) = fzero(fun,0.008229);
end
you may use fplot to view how is your graph's pattern. From the graph, you may see the value is leading to 1 when approaching zero for 4 & 5.
for i=1:1:length(K)
fun = @(a)(1-K(i)).*(log(1+a))-(1+K(i)).*(log(1-a))-t./Tao_NO(i);
figure
fplot(fun,[-2 2])
alpha(i) = fzero(fun,0.999);
end

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