how to multiply one array of vector in another ?

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

[Walter Roberson]

bsxfun(@(a,b) a + a.^2 + b, A(:), B)

[Amin Gan]

Thanks for your reply. If I had a more complex equation such as:

eqn=A+sqrt(A^2-B), can I use bsxfun ?

[Walter Roberson]

Yes. Just be sure to use .^ instead of ^ . Also be sure that your B is a row vector

bsxfun(@(a,b) a + sqrt(a.^2 - b), A(:), B)

If B is not a row vector then

bsxfun(@(a,b) a + sqrt(a.^2 - b), A(:), B(:).')