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NVIDIANVIDIA
RESEARCHNVIDIA2026-07-02

NVIDIA Launches Blackwell GPU Optimization Series: First Comprehensive Guide to Matrix Multiplication Kernels

Key Takeaways

  • ▸Matrix multiplication represents 83% of runtime in LLM inference (Llama 8B on FP8), making it the primary performance bottleneck for large-scale AI deployments
  • ▸NVIDIA Blackwell GPUs feature 5th generation tensor cores supporting up to 256x256x16 matrix operations, a significant leap from previous generations' 16x16x16 limits
  • ▸This is the first comprehensive optimization reference guide for Blackwell GPUs; previous blueprints covered Ampere and Hopper but not Blackwell
Source:
Hacker Newshttps://www.modular.com/blog/matrix-multiplication-on-nvidias-blackwell-part-1-introduction↗

Summary

A new blog series by developer skidrow provides the first comprehensive optimization guide for matrix multiplication kernels on NVIDIA's Blackwell GPU architecture. The series aims to demonstrate how to write high-performance GPU kernels that match or exceed the performance of NVIDIA's cuBLAS library using Mojo, starting with foundational concepts and progressively leveraging Blackwell's new hardware features.

The first post establishes the stakes: matrix multiplication accounts for over 83% of runtime in LLMs like Llama 8B, making even modest performance improvements (10%) translate to significant end-to-end speedup (~8%) and translate to millions of dollars in operational savings for large-scale AI deployments. The series addresses a significant gap in GPU optimization documentation—while previous optimization blueprints exist for Ampere and Hopper generations, Blackwell lacked an equivalent reference.

Blackwell introduces 5th generation tensor cores capable of sub-matrix multiplications up to 256x256x16, substantially increasing peak computational throughput compared to prior generations. The series will incrementally leverage these new hardware features, from basic implementations to advanced optimizations that surpass cuBLAS performance.

  • A 10% improvement in matrix multiplication performance yields approximately 8% end-to-end LLM speedup, directly translating to millions in operational cost savings for inference-heavy deployments

Editorial Opinion

This series fills a critical gap in GPU optimization documentation at a pivotal moment. As enterprises scale LLM inference and compete on cost-per-token, detailed hardware optimization guides become competitive advantages. By open-sourcing Blackwell optimization techniques in Mojo, this work accelerates industry adoption of next-generation hardware and democratizes access to performance engineering expertise typically confined to hardware vendors and well-resourced AI labs.

Large Language Models (LLMs)Machine LearningDeep LearningAI Hardware

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