Compensated summation and dot product algorithms for floating-point vectors on parallel architectures: Error bounds, implementation and application in the Krylov subspace methods-Reference-Cited by-同舟云学术

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Compensated summation and dot product algorithms for floating-point vectors on parallel architectures: Error bounds, implementation and application in the Krylov subspace methods

Published:2022-11 Issue: Volume:414 Page:114434
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Evstigneev N.M.^ORCID,Ryabkov O.I.,Bocharov A.N.,Petrovskiy V.P.,Teplyakov I.O.

Funder

Russian Foundation for Basic Research

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference39 articles.

1. IEEE standard for floating-point arithmetic,2008

2. Design, implementation and testing of extended and mixed precision BLAS;Li;ACM Trans. Math. Softw.,2002

3. Accuracy and Stability of Numerical Algorithms;Higham,2002

4. Residue Number Systems;Mohan,2016

5. Handbook of Floating-Point Arithmetic;Muller,2018

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