Nir Kalush

The author has put some effort into this code. At least it
is a function, not a script. Of course, given that it is a
function, why use input to provide the parameters? This
is why matlab allows the provision of input arguments to
a function. As a function, this code should also return the
value solved for.

It needs better documentation. A line or two that
describes the actual equation being solved would help,
to ensure that a user knows what is being solved. The
user gets very little information when they call help on
this function, and forcing the user to edit the code and
decipher what it does seems silly.

The actual solution is very inefficiently coded, using
brute force loops to creep up on a solution. Fzero would
have been a better solution. Best of course is the fairly
simple algebraic solution that would exist. For example,
the equation appears to be a quadratic polynomial in
Mach number, and transformable to a polynomial roots
problem in beta. While these last comments are purely
that of programming style, the approach chosen will
severely (negatively) impact the efficiency and accuracy of
the result.

I was pleased to see error checks done on the input
parameters.