MATLAB: How to multiply one array of vector in another

Question

There are two same size vectors,A and B (1*2000 in size).

for each value of A must be used in equation below for all B values:

equation=A+A^2+B

for example:

A=[1 2 3]

B=[10 20 30]

I want following results:

 1+1^2+10 ,  1+1^2+20,  1+1^2+30
 2+2^2+10 ,  2+2^2+20,  2+2^2+30
 3+3^2+10 ,  3+3^2+20,  3+3^2+30

But, A and B both are 2000 in size, I expect to get 2000*2000 matrix for eqn.

can you please advise?

Thnks

Answer 1

Use bsxfun:

A=[1 2 3];
B=[10 20 30];
equation = bsxfun(@plus, (A'+A'.^2), B)
equation =
    12    22    32
    16    26    36
    22    32    42