Overloading inequalities on user defined objects

1

Suppose I have a class with a property that can be a cvx variable. Is it possible to overload the comparison operators such that they work for cvx?

Here is a minimal example with a class file Test.m:

classdef Test
    properties
        c
    end

    methods
        function t = Test(c)
            t.c = c;
        end

        function a = ge(x, y)
            a = x.c >= y;
        end
    end
end

The following cvx code

cvx_begin
    variable c

    T = Test(c);

    minimize(c);
    subject to
        T >= 0;
cvx_end

throws the error:

Undefined function 'newcnstr' for input arguments of type 'cvx'.

Error in  >=  (line 21)
b = newcnstr( evalin( 'caller', 'cvx_problem', '[]' ), x, y, '>=' );

Error in  >=  (line 12)
        a = x.c >= y;
2

I’ve never tried to do this, and frankly I am not surprised it is causing problems. I won’t be able to support this kind of construct.