matlab - Matrix multiplication of a Array Cell of function handle -

i have built cell array of function_ handles below:

b = {@(x) x(1)+x(2)^2       @(x) x(1)-2*x(2)}

assume a = [1 2; 3 4]. need perform matrix multiplication a*b have cell array

a*b = {@(x) x(1)+x(2)^2 + 2*(x(1)-2*x(2))         @(x) 3*(x(1)+x(2)^2) + 4*(x(1)-2*(x(2))}

how can this?

it relatively easy if have access symbolic toolbox:

c=regexprep(cellfun(@func2str, b, 'uni', 0), '@\(x\)', ''); f=arrayfun(@(d) ['@(x) ', char(d)], sym(a)*sym(c), 'uni', 0);

this returns

>> f f =      '@(x) 3*x(1) - 4*x(2) + x(2)^2'     '@(x) 7*x(1) - 8*x(2) + 3*x(2)^2'

note symbolic manipulation simplies result.

Brazell