Survey: The Numerical Linear Algebra behind Large Language Models
Abdelkader Baggag · hf · 2026-10-07
Abdelkader Baggag published a survey, The Numerical Linear Algebra of Large Language Models, tracing how NLA has powered successive waves of science: eigenvalue methods (LR/QR) for 1950s-60s aerodynamics, then sparse linear systems, and now ML — where LLMs rest on matrix and tensor methods.
Two goals: explain LLM core concepts accessibly to numerical-methods specialists, and examine the key NLA concepts underlying LLM techniques plus notable recent NLA contributions. The author argues matrix methods will matter even more on the road to AGI, while the pace of change challenges NLA practitioners to adapt.
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