I have very large matrices that I would like to row reduce (I need to keep track of the steps and find a basis of the kernel/image, not just find the rank).
The good news is that I work mod 2 and the matrices are very sparse. The problem is their size, right now I have a beast that is roughly 3 millions x 1 million, but I expect much bigger, probably billions. I might have a thousand of those matrices that I would like to reduce eventually.
I found the linbox project that might be helpful, but before I wanted to know if anybody has a feeling whether or not this is realistic ? I could be using the Grid of my university which has "the combined processing power of 4,568 cores: 1,346 Intel cores, 3,222 AMD cores, with over 13.5TB of RAM and 1.2PB of disk space.". What do you think ?