# Double-Precision Matrix Multiplication Emulation via Ozaki-II Scheme with FP8 Quantization

arXiv: https://arxiv.org/abs/2603.10634 · HTML: https://mlsanity.com/paper/2603.10634/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- Builds on 5 of its 28 references that are in the map.
- First posted on arXiv 11 Mar 2026.

## Builds on (most cited first, 5 of 5)

- [DGEMM on Integer Matrix Multiplication Unit](https://mlsanity.com/paper/2306.11975/) (2023)
- [Guaranteed DGEMM Accuracy While Using Reduced Precision Tensor Cores Through Extensions of the Ozaki Scheme](https://mlsanity.com/paper/2511.13778/) (2025)
- [Emulation of Complex Matrix Multiplication based on the Chinese Remainder Theorem](https://mlsanity.com/paper/2512.08321/) (2025)
- [Performance Enhancement of the Ozaki Scheme on Integer Matrix Multiplication Unit](https://mlsanity.com/paper/2409.13313/) (2024)
- [High-Performance and Power-Efficient Emulation of Matrix Multiplication using INT8 Matrix Engines](https://mlsanity.com/paper/2508.03984/) (2025)

## Built on by (most cited first, 3 of 3)

- [FP8 is All You Need (Part 1): Debunking Hardware FP64 as the HPC Holy Grail (Sep 3rd version)](https://mlsanity.com/paper/2606.06510/) (2026)
- [FP8 is All You Need (Part 2): Full-FP64 3-D FFT on FP8-Generation Tensor CoresThe Integer-Epilogue Wall and the Minimal Hardware That Would Remove It](https://mlsanity.com/paper/2606.23698/) (2026)
- [The Missing Fourth Term for the Emulation Tensor Memory Equilibrium (TME) Model: The Residue Deconstruction Cost](https://mlsanity.com/paper/2610.10924/) (2026)

## Abstract (arXiv)

In this paper, we propose a method for emulating double-precision general matrix--matrix multiplication (DGEMM), a fundamental and performance-critical kernel in many high-performance computing applications. Ozaki-I and Ozaki-II are established DGEMM emulation schemes via low-precision matrix multiply-accumulate (MMA) units. For the Ozaki-I scheme, INT8-, FP8-, and FP16-based implementations have been proposed, all of which can be realized based on the same underlying algorithmic structure. In contrast, although INT8-based implementations of the Ozaki-II scheme have been reported, the original algorithm cannot be directly adapted to exploit FP8 MMA units. In several recent architectures, such as NVIDIA Blackwell Ultra and NVIDIA Rubin, INT8 performance has been reduced, making reliance on INT8 alone insufficient. Therefore, we introduce a novel technique to demonstrate DGEMM emulation based on the Ozaki-II scheme that operates on FP8 MMA units. Compared to the FP8-based Ozaki-I scheme, our method significantly reduces the computational cost and enables efficient FP64 emulation.
