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

The aim of the paper is to improve parallel algorithms that obtain higher precision in floating point reduction-type operations while working within the basic floating point type. The compensated parallel variants of summation and dot product operations for floating point vectors are considered (lev...

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Bibliographic Details

Published in:	Journal of computational and applied mathematics Vol. 414; p. 114434
Main Authors:	Evstigneev, N.M., Ryabkov, O.I., Bocharov, A.N., Petrovskiy, V.P., Teplyakov, I.O.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.11.2022
Subjects:	Accurate dot product Accurate summation Compensated algorithms General purpose GPU Krylov subspace solvers Krylov subspace solvers Compensated algorithms Accurate dot product General purpose GPU Accurate summation
ISSN:	0377-0427, 1879-1778
Online Access:	Get full text
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