Low-synch Gram–Schmidt with delayed reorthogonalization for Krylov solvers

Author:

Bielich DanielORCID,Langou JulienORCID,Thomas Stephen,Świrydowicz Kasia,Yamazaki Ichitaro,Boman Erik G.ORCID

Funder

National Science Foundation

National Renewable Energy Laboratory

U.S. Department of Energy

Sandia National Laboratories

Office of Science

Office of Energy Efficiency and Renewable Energy

National Nuclear Security Administration

US Department of Energy Office of Nuclear Energy

Publisher

Elsevier BV

Subject

Artificial Intelligence,Computer Graphics and Computer-Aided Design,Computer Networks and Communications,Hardware and Architecture,Theoretical Computer Science,Software

Reference34 articles.

1. GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems;Saad;SIAM J. Sci. Stat. Comput.,1986

2. A Krylov–Schur algorithm for large eigenproblems;Stewart;SIAM J. Matrix Anal. Appl.,2001

3. On the loss of orthogonality in the Gram-Schmidt orthognalization process;Giraud;Comput. Math. Appl.,2005

4. The effects of loss of orthogonality on large scale numerical computations;Paige,2018

5. Modified gram-Schmidt (MGS), least squares, and backward stability of MGS-GMRES;Paige;SIAM J. Matrix Anal. Appl.,2006

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3. Iterated Gauss–Seidel GMRES;SIAM Journal on Scientific Computing;2023-07-24

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