How to write a line of statement with two vector of different size using no loops

I am not sure if the title us correct. But here's what i want to do.

n = -10:10;
p = [-0.6  0.2];
r = [ -1.7500  2.7500];
H = zeros(size(n));
for i=1:length(p)
  H = H + r(i)*(p(i).^n).*(n>=0);
end

I want to write this for loop in one line of statement. Is there a way?

Answer 1

[Cedric Wannaz]

 >> H2 = (n >= 0) .* sum(r.' .* p.'.^n) ;
 >> isequal( H2, H )
 ans =
  logical
   1

if it doesn't work, you may have a MATLAB version < 2016b. In such case:

 >> H3 = (n >= 0) .* sum(bsxfun(@times, r.', bsxfun(@power, p.', n))) ;
 >> isequal( H3, H )
 ans =
  logical
   1

[Istiaq Ansari]

Thanks a lot. I currently have matlab 2016a. Now i guess i am going to switch to newer version.

[Cedric Wannaz]

My pleasure! It's worth getting the latest version if it is distributed at your institution, because a lot of new features appeared between 2016b and 2017b. Here in my first solution we use an implicit automatic expansion for example, using a very simple syntax.