How can I apply ndgrid in loop?

Hi, I have three matrices A=[60x111], B=[60,11],C=[60,101];

here, N=60, a=111,b=11,c=101

for i=i:N
[Nd{:,i}] = ndgrid(1:a, 1:b, 1:c);
end

I want to use Nd{:,i} for each row of A,B,C. My output will be a 4 dim matrix (111x11x101x60) obtaind from final multiplication of

A(Nd{:i}).*B(Nd{:i}).*C(Nd{:i}). I dont know how to do that.

Thanks in advance.

[Guillaume]

I'm not clear on what you're trying to do. Currently your loop just does the same calculation 60 times.

Can you provide a example of inputs and desired output, with smaller size matrices (e.g. N = 3, a = 2, b = 3, c = 4)?

[kritika joshi]

For A=rand(3,2), B=rand(3,3),C=rand(3,4),D=rand(3,1), I actually want to multiply these matrices (A, B, C,D) using ndgrid. So that I will get a 4 dim matrix.

Answer 1

[Guillaume]

It's not any clearer what you want, since you don't define what you mean by multiply and since ndgrid has nothing to do with multiplication.

Perhaps, you're looking for this:

result = A .* permute(B, [1, 3, 2]) .* permute(C, [1, 3, 4, 2])

which will give you 4D matrix of M x N x P x Q for A of size M x N, B of size M x P and C of size M x Q.

[kritika joshi]

Thank you so much for your answer. But I want to arrenge it in (NxPxQxM) order with multiplication of D also.

[Walter Roberson]

permute(result, [2 3 4 1])

[kritika joshi]

Thanks a lot.