Converting Mathcad to Matlab

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Kim on 18 Jul 2013
Commented: SKar on 30 Mar 2021
I have a book with some good radar equations in it. However, everything is in Mathcad - I use Matlab. I've been converting everything I use from Mathcad to Matlab. I've run into one I'm not sure how to convert.
Mathcad has a function called root. The equation I'm interested in converting is: root(f1(u) - sqrt(0.5), u, 0.3, 0.7
As I understand it, 'root' returns the value of u to make the function f1 equal to zero. With 0.3 and 0.7 being specified, root finds u on this interval.
How do I accomplish the same thing using Matlab?
Thanks, Kim
  1 Comment
SKar on 30 Mar 2021
Hey Kim,
Is there a way to convert automatically a Mathcad file to a matlab file?
Thank you,

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Accepted Answer

Eric on 18 Jul 2013
Edited: Eric on 18 Jul 2013
Look at the documentation for Matlab's fzero() function. For example, to find the zero of cosine between 1 and 2:
fun = @cos; % function
x0 = [1 2]; % initial interval
x = fzero(fun,x0)
x is returned with a value of 1.570796326794897.
For your case you'll use something like
fun = @(x)f1(x) - sqrt(0.5);
and of course you'll define x0 to be [0.3 0.7].
Note that the documentation for Matlab R2013a has a typo. In my code above where I defined x0, the documentation actually defines this as x (i.e., they forgot the 0).
Good luck,
Kim on 13 Nov 2013
Yep, that was the problem. In my problem f1(u) = sinc(pi*u). So I changed what I did to: fun = @(u) sinc(u) - sqrt(0.5); u0 = [0.3 0.7]; x = fzero(fun,u0)
Note - I had to learn that in mathcad sinc is straight sin(x)/x and for matlab it is sin(pi*x)/(pi*x) - so had to take care of pi.
But now it works.

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