Low Synchronization Gram-Schmidt and Generalized Minimal Residual Algorithms: Article No. e2343

Katarzyna Swirydowicz, Julien Langou, Shreyas Ananthan, Ulrike Yang, Stephen Thomas

Research output: Contribution to journalArticlepeer-review

15 Scopus Citations

Abstract

We present new variants of modified (MGS) and classical Gram–Schmidt algorithms that require one global reduction step.
Original languageAmerican English
Number of pages20
JournalNumerical Linear Algebra with Applications
Volume28
Issue number2
DOIs
StatePublished - 2021

NREL Publication Number

  • NREL/JA-2C00-78303

Keywords

  • Gram-Schmidt process
  • graphics processing unit
  • Krylov methods
  • massively parallel
  • scalable GMRES
  • WY factorization

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