How to write a matlab function to find largest jump between consecutive vectors without using max or min

I need a more efficient program where the lone input argument x is a vector of real numbers. The outputs describe where in vector x the maximum “jumps” occur for consecutive vector elements. That is, the output K is the size of the maximum jump and the vector y are the left-hand-side indexes where the maximum jump(s) occur. It is possible that the vector may have more than one jump at the maximum so the vector y may have more than one index value. For example, if x = [1 2 5 0 2 3]; Then the maximum “jump” occurs between the 3rd and 4th elements where the jump is -5 when stepping from left to right. It doesn’t matter if the jump is positive or negative when looking at the vector from left to right. The function should output K = 5; as well as the vector y = [3]; where the 3 indicates the “left” index of where the jump occured

function [K,y] =
 FindMinJump1(x)

K = [];
y = [];

% Find all differences listed in given vector length
for i = 1:(length(x)-1)
    j = abs(x(i+1)-x(i));
    K(i) = j;
end

% Find the minimum among the differences
m = [];
for i = 1:(length(K)-1)
    if (lt(K(i+1),K(i)))
        m = K(i+1);
    end
end

% Find location of minimum jump
for i = 1:(length(K))
    if (eq(m,K(i)))
        y(length(y)+1)=i;
    end
end
K = m;
end

[Star Strider]

Christian Witte further clarified:

I'm not allowed to use sort, sorry I didn't specify.

and:

I cannot use diff either, sorry

Answer 1

[Fabio Freschi]

Try

xd = abs(diff(x))
[K,y] = max(xd)

[Christian Witte]

I cannot use diff either, sorry

[Fabio Freschi]

diff can be replaced by

mydiff = @(x)(x(2:end)-x(1:end-1));
xd = abs(mydiff(x));

[Christian Witte]

The mydiff part works, but how can I replace the 'max' function, as I'm not allowed to use that in my script.