Help vectorizing calculation that accesses multiple entries in the input array and the previous element of the output array

I'm wondering if this can be vectorized. I'm accessing two entries in the input array along with the previous entry in the output array.

v and T are a vectors of floats.

[Edit: I left out some complexity and I'm not sure if the answer given can still be applied. I've updated the code below with the full expression.]

out = zeros(length(v), 1);
out(1) = 1;
for i = 2:length(v)
    out(i) = out(i - 1) * (v(i) / v(i - 1)) * (T(i) / T(i - 1));
end

[Jan]

Note: Avoid the square brackets around the counter in FOR loops. They can impede the JIT acceleration. Prefer:

for i = 2:length(v)

[Marcus Rademacher]

Thanks for the tip!

Answer 1

[Matt J]

out=v./v(1)

[Marcus Rademacher]

My original post left out some complexity as there's a 2nd vector involved too (this is a combined gas law calculation). Can a similar rearrangement still be applied here?

[Matt J]

It still looks like it will just be,

Tv=T.*v;
out=TV./Tv(1)

[Marcus Rademacher]

You are correct, I see what's happening now. Thanks for your help!