How to use fsolve with input from an array and store output in an array?

The equation in my function requires input of values stored in an array, and I want to solve the equation for each value in that array and store the corresponding solutions in a new array. I think I just have some sort of syntax error.... Maybe do I need to include a while loop in the function itself?

K=[400:600];
q=1; %intialize counter
x_e = zeros(1,201); % assign an array of zeros for x_e
while q<202
    x0 = 0;
    out = fsolve(@funct,x0)
    x_e(1,q) = out; % store the value of the solved equation in an array
    q=q+1;
end

      function F = funct(x)
          F = (x/(1.5-(2.*x)))./ ( ( (0.5-x)./(1.5-(2.*x))).* (( (1-(2.*x))./(1.5-(2.*x)))^2) )-K(q);
      end

Answer 1

[Walter Roberson]

As a guess:

K=[400:600];
numK = length(K);
x_e = zeros(1,numK); % assign an array of zeros for x_e
for q = 1 : numK
  x_e(1,q) = fsolve(@funct,K(q));
end

Or more simply,

K=[400:600];
x_e = arrayfun(@(x0) fsolve(@funct,x0), K);

with no loop.

[Lea Winter]

Thanks! I tried using this (and some other similar forms of what you suggested, for example changing K to a single variable value instead of an array and removing the loop), and I seem to keep getting the same error. Maybe there is something wrong with the function? Maybe a different argument needs to be used other than "x", for example, "x(q)"?

 function F = funct(x)

Here is the error message:

Error using feval Undefined function 'funct' for input arguments of type 'double'.

Error in fsolve (line 241) fuser = feval(funfcn{3},x,varargin{:});

Caused by: Failure in initial user-supplied objective function evaluation. FSOLVE cannot continue.

[Walter Roberson]

funct = @(x,K) (x./(1.5-(2.*x))) ./ ( ( (0.5-x)./(1.5-(2.*x))).* (( (1-(2.*x))./(1.5-(2.*x))).^2) ) - K;

K=[400:600];
guess = 0.1;    %must be at least .055049 to work with this funct
for q = 1 : length(K)
  guess = fzero(@(x) funct(x, K(q)), guess);
  x_e(1,q) = guess;
end