A Framework for Error-Bounded Approximate Computing, with an Application to Dot Products

DOI10.1137/21M1406994zbMath1492.65124MaRDI QIDQ5864088

Harshitha Menon, James Diffenderfer, Daniel Osei-Kuffuor

Publication date: 3 June 2022

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

error boundhigh-performance computingapproximate computingdot product

Mathematics Subject Classification ID

Roundoff error (65G50) Algorithms with automatic result verification (65G20) Numerical linear algebra (65F99) Numerical algorithms for specific classes of architectures (65Y10) Numerical algorithms for computer arithmetic, etc. (65Y04)

Related Items (2)

Mixed precision algorithms in numerical linear algebra ⋮ Adaptive Precision Sparse Matrix–Vector Product and Its Application to Krylov Solvers

Uses Software

• CUDA
• CUBLAS
• Thrust
• FPTuner
• EnerJ
• GitHub
• zfp

Cites Work

• Inexact Newton Methods
• Mixed-precision iterative refinement using tensor cores on GPUs to accelerate solution of linear systems
• Rigorous floating-point mixed-precision tuning
• Methods of conjugate gradients for solving linear systems
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