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arXiv · 2604.22242

Fast GPU Linear Algebra via Compile Time Expression Fusion

Ryan R. Curtin·Marcus Edel·Conrad Sanderson
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Abstract

We describe the Bandicoot GPU linear algebra toolkit for C++, which prioritises ease of use without compromising efficiency. Bandicoot's API aims for compatibility with the popular Armadillo CPU linear algebra library, enabling easy transition for existing CPU-based codebases. Unlike other GPU-focused toolkits, Bandicoot uses template metaprogramming to generate fused GPU kernels directly at compile-time, yielding efficient kernels that can saturate memory bandwidth. This removes the need for run-time overhead or JIT infrastructure. Empirical results show that Bandicoot outperforms (sometimes by considerable margins) commonly-used linear algebra toolkits including PyTorch, TensorFlow, and JAX.

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Ryan R. Curtin, Marcus Edel, Conrad Sanderson. 2026-04-24. Fast GPU Linear Algebra via Compile Time Expression Fusion. https://arxiv.org/abs/2604.22242

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