How to efficiently perform element-wise operations on large matrices in MATLAB without running into memory issues?
I recently switched to I'm trying to perform element-wise operations on two large matrices in MATLAB (version R2023a), but I'm running into memory issues that lead to slow performance and sometimes even crashes. Specifically, I'm attempting to compute the element-wise product of two matrices, A and B, both of size 10000x10000. Since they are quite large, I would like to use the built-in `.*` operator for efficiency, but the operations are taking too long, and my system occasionally runs out of memory. Here’s a snippet of my code: ```matlab A = rand(10000, 10000); B = rand(10000, 10000); C = A .* B; ``` When I run this, I occasionally get a `Requested 800000000 bytes (763.0MB) exceeded maximum array size preference` warning, and it becomes more common if I try to perform further operations on `C`. I’ve also tried using `gpuArray` to offload computations to the GPU, like this: ```matlab gpuA = gpuArray(A); gpuB = gpuArray(B); gpuC = gpuA .* gpuB; ``` However, I'm still working with memory constraints because my graphics card only has 4GB of memory. Are there best practices for handling such large computations in MATLAB? Can I break down the matrices or use a different approach to avoid running out of memory or slow performance? Any help would be appreciated! This is part of a larger application I'm building. Cheers for any assistance! I'm working on a web app that needs to handle this. What am I doing wrong?