I want to address the points in your question slightly out of order.
rowfun doesn't work with function handle, and arrayfun also returns a cell array.
rowfun absolutely does work with function handles; in fact the first input argument must be a function handle. It doesn't work on numeric arrays; the input A that you pass in as the second input must be a table or timetable array.
I want to apply my own function to every row of a numeric matrix.
My function has two input and two output arguments.
So one of the inputs to your function is a row of the matrix. What's the other? Is it another row of the matrix, is it a constant, is it the result of a previous call to that function on a different row of the matrix, etc.?
Do you want to capture both output arguments for each row? I assume that they are compatibly sized to be assembled into an array? You don't have the scenario where one call could return a 3-element vector and the next a 4-element vector, do you?
The simplest approach is probably going to be a straightforward for loop.
