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Everything about Basic Linear Algebra Subprograms

Routines for performing common linear algebra operations

Basic Linear Algebra Subprograms (BLAS) is a specification that prescribes a set of low-level routines for performing common linear algebra operations such as vector addition, scalar multiplication, dot products, linear combinations, and matrix multiplication. They are the de facto standard low-level routines for linear algebra libraries; the routines have bindings for both C and Fortran. Although the BLAS specification is general, BLAS implementations are often optimized for speed on a particular machine, so using them can bring substantial performance benefits. BLAS implementations will take advantage of special floating point hardware such as vector registers or SIMD instructions. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Basic Linear Algebra SubprogramsA 5-minute orientation
  2. Skim a recent paper: Parallel time integration using Batched BLAS (Basic Linear Algebra Subprograms) routinesInfluential work since 2022
  3. Pick up a classic book: Special issue on the Basic Linear Algebra Subprograms (BLAS)The most-reprinted book on the subject
  4. Read the landmark paper: A set of level 3 basic linear algebra subprogramsCited 1,268 times
  5. Go sideways: LAPACKA closely related topic
  6. Go sideways: List of numerical librariesA closely related topic

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